메뉴 건너뛰기




Volumn 6, Issue 4, 2009, Pages 699-729

Spurious solutions in the multiband effective mass theory applied to low dimensional nanostructures

Author keywords

Abrupt interfaces; Band gap; Continuum and atomistic models; Coupled systems of PDEs; Effective envelope theory; Eigenvalue problem; Fourier coefficients; Highly oscillatory integrals; Interface boundary conditions; K space; Low dimensional semiconductor nanostructures; Multiband models; Multiple scales; Quantum confinement; Spurious solutions; Variational formulation

Indexed keywords


EID: 74549211991     PISSN: 18152406     EISSN: 19917120     Source Type: Journal    
DOI: 10.4208/cicp.2009.v6.p699     Document Type: Article
Times cited : (17)

References (105)
  • 1
    • 34347342737 scopus 로고    scopus 로고
    • Density-functional theory study of the electronic structure of thin Si/SiO2 quantum nanodots and nanowires
    • P.V. Avramov et al., Density-functional theory study of the electronic structure of thin Si/SiO2 quantum nanodots and nanowires, Phys. Rev. B, 75 (20), 205427, 2007.
    • (2007) Phys. Rev. B , vol.75 , Issue.20 , pp. 205427
    • Avramov, P.V.1
  • 2
    • 74549186030 scopus 로고    scopus 로고
    • G. Bastard Wave mechanics applied to semiconductor heterostructures. New York: Halsted Press (a division of John Wiley & Sons), 1988.
    • G. Bastard Wave mechanics applied to semiconductor heterostructures. New York: Halsted Press (a division of John Wiley & Sons), 1988.
  • 4
    • 0001278277 scopus 로고
    • An exact formulation of the envelope function method for the determination of electronic states in semiconductor microstructure
    • M. G. Burt. An exact formulation of the envelope function method for the determination of electronic states in semiconductor microstructure. Semicond. Sci. Technol., 3, 739, 1988.
    • (1988) Semicond. Sci. Technol , vol.3 , pp. 739
    • Burt, M.G.1
  • 5
    • 0010376645 scopus 로고
    • The justification for applying the effective-mass approximation to microstructures
    • M.G. Burt, The justification for applying the effective-mass approximation to microstructures, J. Phys. Cond. Matt. 4, 6651, 1992.
    • (1992) J. Phys. Cond. Matt , vol.4 , pp. 6651
    • Burt, M.G.1
  • 6
    • 0031701284 scopus 로고    scopus 로고
    • Resolution of the out-of-zone solution problem in envelope-function theory
    • M. G. Burt. Resolution of the out-of-zone solution problem in envelope-function theory. Superlatt. Microstruct., 23, 531, 1998.
    • (1998) Superlatt. Microstruct , vol.23 , pp. 531
    • Burt, M.G.1
  • 7
    • 0002494872 scopus 로고    scopus 로고
    • Fundamentals of envelope function theory for electronic states and photonic modes in nanostructures
    • M.G. Burt, Fundamentals of envelope function theory for electronic states and photonic modes in nanostructures, J. Phys.: Condens. Matter, 11, R53-R83, 1999.
    • (1999) J. Phys.: Condens. Matter , vol.11
    • Burt, M.G.1
  • 8
    • 0000506597 scopus 로고
    • Diagonal representation for the transfer-matrix method for obtaining electronic energy levels in layered semiconductor heterostructures
    • B. Chen, M. Lazzouni, and L. R. Ram-Mohan. Diagonal representation for the transfer-matrix method for obtaining electronic energy levels in layered semiconductor heterostructures. Phys. Rev. B, 45 (3), 1204-1212, 1992.
    • (1992) Phys. Rev. B , vol.45 , Issue.3 , pp. 1204-1212
    • Chen, B.1    Lazzouni, M.2    Ram-Mohan, L.R.3
  • 9
    • 0009126462 scopus 로고
    • Connection rules for envelope functions at semiconductor-heterostructure interfaces
    • J. P. Cuypers and W. van Haeringen. Connection rules for envelope functions at semiconductor-heterostructure interfaces. Phys. Rev. B, 47 (16), 10310-10318, 1993.
    • (1993) Phys. Rev. B , vol.47 , Issue.16 , pp. 10310-10318
    • Cuypers, J.P.1    van Haeringen, W.2
  • 11
    • 20544450530 scopus 로고    scopus 로고
    • Equilibrium limits of coherency in strained nanowire heterostructures
    • E. Ertekin, P.A. Greaney, and D.C. Chrzan, Equilibrium limits of coherency in strained nanowire heterostructures, J. of Applied Physics, 97, 114325, 2005.
    • (2005) J. of Applied Physics , vol.97 , pp. 114325
    • Ertekin, E.1    Greaney, P.A.2    Chrzan, D.C.3
  • 12
    • 0000922397 scopus 로고
    • Effective-mass Hamiltonian and boundary conditions for the valence bands of semiconductor microstructures
    • B. A. Foreman, Effective-mass Hamiltonian and boundary conditions for the valence bands of semiconductor microstructures, Phys. Rev. B, 48 (7), 4964-4967, 1993.
    • (1993) Phys. Rev. B , vol.48 , Issue.7 , pp. 4964-4967
    • Foreman, B.A.1
  • 13
    • 0000489578 scopus 로고    scopus 로고
    • Elimination of spurious solutions from eight-band k.p theory
    • B. A. Foreman. Elimination of spurious solutions from eight-band k.p theory. Phys. Rev. B, 56, R12748, 1997.
    • (1997) Phys. Rev. B , vol.56
    • Foreman, B.A.1
  • 14
    • 4243747936 scopus 로고    scopus 로고
    • Connection rules versus differential equations for envelope functions in abrupt heterostructures
    • B. A. Foreman. Connection rules versus differential equations for envelope functions in abrupt heterostructures. Phys. Rev. Lett., 80 (17), 3823-3826, 1998.
    • (1998) Phys. Rev. Lett , vol.80 , Issue.17 , pp. 3823-3826
    • Foreman, B.A.1
  • 15
    • 34347395159 scopus 로고    scopus 로고
    • Choosing a basis that eliminates spurious solutions in k.p theory
    • B. A. Foreman. Choosing a basis that eliminates spurious solutions in k.p theory. Phys. Rev. B, 75 (23), 235331, 2007.
    • (2007) Phys. Rev. B , vol.75 , Issue.23 , pp. 235331
    • Foreman, B.A.1
  • 16
    • 34547109628 scopus 로고    scopus 로고
    • Valence-band mixing in first-principles envelope-function theory
    • B. A. Foreman. Valence-band mixing in first-principles envelope-function theory. Phys. Rev. B, 76 (4), 043327, 2007.
    • (2007) Phys. Rev. B , vol.76 , Issue.4 , pp. 043327
    • Foreman, B.A.1
  • 17
    • 29644444965 scopus 로고    scopus 로고
    • First-principles envelope-function theory for lattice-matched semiconductor heterostructures
    • B. A. Foreman. First-principles envelope-function theory for lattice-matched semiconductor heterostructures. Phys. Rev. B (Condensed Matter and Materials Physics), 72 (16), 165345, 2005.
    • (2005) Phys. Rev. B (Condensed Matter and Materials Physics) , vol.72 , Issue.16 , pp. 165345
    • Foreman, B.A.1
  • 18
    • 0000875030 scopus 로고    scopus 로고
    • Envelope-function formalism for electrons in abrupt heterostructures with material-dependent basis functions
    • B. A. Foreman. Envelope-function formalism for electrons in abrupt heterostructures with material-dependent basis functions. Phys. Rev. B, 54, 1909, 1996.
    • (1996) Phys. Rev. B , vol.54 , pp. 1909
    • Foreman, B.A.1
  • 19
    • 0742289213 scopus 로고    scopus 로고
    • Modeling a nanowire superlattice using the finite difference method in cylindrical polar coordinates
    • C. Galeriu et al., Modeling a nanowire superlattice using the finite difference method in cylindrical polar coordinates, Computer Physics Communications, 157 (2), 147-159, 2004.
    • (2004) Computer Physics Communications , vol.157 , Issue.2 , pp. 147-159
    • Galeriu, C.1
  • 20
    • 0000017752 scopus 로고    scopus 로고
    • Boundary conditions and spurious solutions in envelope- function theory
    • M. J. Godfrey and A. M. Malik. Boundary conditions and spurious solutions in envelope- function theory. Phys. Rev, B, 53, 16504, 1996.
    • (1996) Phys. Rev, B , vol.53 , pp. 16504
    • Godfrey, M.J.1    Malik, A.M.2
  • 21
    • 54949150356 scopus 로고    scopus 로고
    • Real space method for the electronic structure of one-dimensional periodic systems
    • J.X. Han et al., Real space method for the electronic structure of one-dimensional periodic systems, Journal of Chemical Physics, 129 (14), 144109, 2008.
    • (2008) Journal of Chemical Physics , vol.129 , Issue.14 , pp. 144109
    • Han, J.X.1
  • 22
    • 0034899553 scopus 로고    scopus 로고
    • Multigrid method for electronic structure calculations
    • M. Heiskanen et al., Multigrid method for electronic structure calculations, Phys. Rev. B, 63, 245106, 2001.
    • (2001) Phys. Rev. B , vol.63 , pp. 245106
    • Heiskanen, M.1
  • 23
    • 43949099961 scopus 로고    scopus 로고
    • Advances in correlated electronic structure methods for solids, surfaces, and nanostructures
    • P. Huang, E.A. Carter, Advances in correlated electronic structure methods for solids, surfaces, and nanostructures, Annual Review of Physical Chemistry, 59, 261-290, 2008.
    • (2008) Annual Review of Physical Chemistry , vol.59 , pp. 261-290
    • Huang, P.1    Carter, E.A.2
  • 24
    • 74549135266 scopus 로고    scopus 로고
    • A. Iserles, S. P. Norsett, and S. Olver, Highly oscillatory quadrature: The story so far, Proceedings of ENuMath, Santiago de Compostela, A. Bermudez de Castro et al., (eds.), Springer-Verlag, Berlin, 97-118, 2006.
    • A. Iserles, S. P. Norsett, and S. Olver, Highly oscillatory quadrature: The story so far, Proceedings of ENuMath, Santiago de Compostela, A. Bermudez de Castro et al., (eds.), Springer-Verlag, Berlin, 97-118, 2006.
  • 25
    • 48049095490 scopus 로고    scopus 로고
    • Multiscale coupling schemes spanning the quantum mechanical, atomistic forcefield, and continuum regimes
    • R. Khare et al., Multiscale coupling schemes spanning the quantum mechanical, atomistic forcefield, and continuum regimes, Computer Methods in Applied Mechanics and Engineering, 197 (41-42), 3190-3202, 2008.
    • (2008) Computer Methods in Applied Mechanics and Engineering , vol.197 , Issue.41-42 , pp. 3190-3202
    • Khare, R.1
  • 26
    • 0344426162 scopus 로고    scopus 로고
    • k.p Hamiltonian without spurious-state solutions
    • K.I. Kolokolov, J. Li, and C.Z. Ning, k.p Hamiltonian without spurious-state solutions, Phys. Rev. B, 68, 161308(R), 2003.
    • (2003) Phys. Rev. B , vol.68 , pp. 161308
    • Kolokolov, K.I.1    Li, J.2    Ning, C.Z.3
  • 27
    • 4444330366 scopus 로고    scopus 로고
    • B. Lassen B, L. C. Lew Yan Voon, M Willatzen, R. V. N. Melnik. Exact envelope-function theory versus symmetrized Hamiltonian for quantum wires: a comparison. Solid State Communications, 132 (3-4), 141-149, 2004.
    • B. Lassen B, L. C. Lew Yan Voon, M Willatzen, R. V. N. Melnik. Exact envelope-function theory versus symmetrized Hamiltonian for quantum wires: a comparison. Solid State Communications, 132 (3-4), 141-149, 2004.
  • 29
    • 33845761071 scopus 로고    scopus 로고
    • B. Lassen, M. Willatzen, R. Melnik, Inclusion of nonlinear strain effects in the Hamilto-nian for nanoscale semiconductor structures, Journal of Computational and Theoretical Nanoscience, 3 (4), 588-597, 2006.
    • B. Lassen, M. Willatzen, R. Melnik, Inclusion of nonlinear strain effects in the Hamilto-nian for nanoscale semiconductor structures, Journal of Computational and Theoretical Nanoscience, 3 (4), 588-597, 2006.
  • 30
    • 34347395321 scopus 로고    scopus 로고
    • Electronic properties of freestanding InP and InAs nanowires
    • B. Lassen, M. Willatzen, R. Melnik, and L. C. Lew Yan Voon, Electronic properties of freestanding InP and InAs nanowires, J. Mater. Res., 21 (11), 2927-2935, 2006.
    • (2006) J. Mater. Res , vol.21 , Issue.11 , pp. 2927-2935
    • Lassen, B.1    Willatzen, M.2    Melnik, R.3    Lew Yan Voon, L.C.4
  • 32
    • 1542313983 scopus 로고    scopus 로고
    • Boundary conditions for the electronic structure of finite-extent, embedded semiconductor nanostructures
    • S. Lee, F. Oyafuso, P. von Allmen, and G. Klimeck, Boundary conditions for the electronic structure of finite-extent, embedded semiconductor nanostructures, Phys. Rev. B, 69 (4), 045316, 2004.
    • (2004) Phys. Rev. B , vol.69 , Issue.4 , pp. 045316
    • Lee, S.1    Oyafuso, F.2    von Allmen, P.3    Klimeck, G.4
  • 33
    • 1442324499 scopus 로고    scopus 로고
    • Influence of aspect ratio on the lowest states of quantum rods
    • L. Lew Yan Voon, R. Melnik, B. Lassen, M. Willatzen, Influence of aspect ratio on the lowest states of quantum rods, Nano Letters, 4 (2), 289-292, 2004.
    • (2004) Nano Letters , vol.4 , Issue.2 , pp. 289-292
    • Lew Yan Voon, L.1    Melnik, R.2    Lassen, B.3    Willatzen, M.4
  • 35
    • 23744444264 scopus 로고    scopus 로고
    • Electronic structure of wurtzite quantum dots with cylindrical symmetry
    • L. Lew Yan Voon, C. Galiriu, B. Lassen et al., Electronic structure of wurtzite quantum dots with cylindrical symmetry, Applied Physics Letters, 87 (4), 041906, 2005.
    • (2005) Applied Physics Letters , vol.87 , Issue.4 , pp. 041906
    • Lew Yan Voon, L.1    Galiriu, C.2    Lassen, B.3
  • 36
    • 74549200050 scopus 로고    scopus 로고
    • The k p Method - Electronic Bandstructure of Semiconductors, Springer Verlag Series on Solid State Physics
    • to appear in
    • L. C. Lew Yan Voon and M. Willatzen, The k p Method - Electronic Bandstructure of Semiconductors, Springer Verlag Series on Solid State Physics, to appear in 2009.
    • (2009)
    • Lew, L.C.1    Yan, V.2    Willatzen, M.3
  • 38
    • 48949098654 scopus 로고    scopus 로고
    • M. Luisier, A. Schenk, Atomistic simulation of nanowire transistors, Journal of Computational and Theoretical Nanoscience, 5 (6), 1031-1045, 2008.
    • M. Luisier, A. Schenk, Atomistic simulation of nanowire transistors, Journal of Computational and Theoretical Nanoscience, 5 (6), 1031-1045, 2008.
  • 39
    • 0043210202 scopus 로고
    • Motion of electrons and holes in perturbed periodic fields
    • J.M. Luttinger and W. Kohn, Motion of electrons and holes in perturbed periodic fields, Physical Review, 97 (4), 869-883, 1955.
    • (1955) Physical Review , vol.97 , Issue.4 , pp. 869-883
    • Luttinger, J.M.1    Kohn, W.2
  • 40
    • 74549133190 scopus 로고    scopus 로고
    • D.R. Mahapatra, R.V.N. Melnik, Three-dimensional mathematical models of phase transformation kinetics in shape memory alloys, Dynamics of Continuous Discrete and Impulsive Systems - Series B - Applications & Algorithms, 2, Sp. Iss. SI, 557-562, 2005.
    • D.R. Mahapatra, R.V.N. Melnik, Three-dimensional mathematical models of phase transformation kinetics in shape memory alloys, Dynamics of Continuous Discrete and Impulsive Systems - Series B - Applications & Algorithms, Vol. 2, Sp. Iss. SI, 557-562, 2005.
  • 42
    • 34848830406 scopus 로고    scopus 로고
    • Finite element approach to modelling evolution of 3D shape memory materials
    • D.R. Mahapatra, R.V.N. Melnik, Finite element approach to modelling evolution of 3D shape memory materials, Mathematics and Computers in Simulation, 76 (1-3), 141-148, 2007.
    • (2007) Mathematics and Computers in Simulation , vol.76 , Issue.1-3 , pp. 141-148
    • Mahapatra, D.R.1    Melnik, R.V.N.2
  • 43
    • 56949102776 scopus 로고    scopus 로고
    • Field emission from strained carbon nanotubes on cathode substrate
    • D. R. Mahapatra et al., Field emission from strained carbon nanotubes on cathode substrate, Applied Surface Science, 255 (5), 1959-1966, 2008.
    • (2008) Applied Surface Science , vol.255 , Issue.5 , pp. 1959-1966
    • Mahapatra, D.R.1
  • 44
    • 34147098426 scopus 로고    scopus 로고
    • Band structure and optical properties of wurtzite semiconductor nanotubes
    • N. Malkova, C.Z. Ning, Band structure and optical properties of wurtzite semiconductor nanotubes, Phys. Rev. B, 75 (15), 155407, 2007.
    • (2007) Phys. Rev. B , vol.75 , Issue.15 , pp. 155407
    • Malkova, N.1    Ning, C.Z.2
  • 45
    • 0033318083 scopus 로고    scopus 로고
    • Optimal-by-order quadrature formulae for fast oscillatory functions with inaccurately given a priori information
    • K.N. Melnik and R.V.N. Melnik, Optimal-by-order quadrature formulae for fast oscillatory functions with inaccurately given a priori information, Journal of Computational and Applied Mathematics, 110 (1), 45-72, 1999.
    • (1999) Journal of Computational and Applied Mathematics , vol.110 , Issue.1 , pp. 45-72
    • Melnik, K.N.1    Melnik, R.V.N.2
  • 46
    • 0041317077 scopus 로고    scopus 로고
    • Optimal cubature formulae and recovery of fast-oscillating functions from an interpolational class
    • K.N. Melnik and R.V.N. Melnik, Optimal cubature formulae and recovery of fast-oscillating functions from an interpolational class, BIT Numerical Mathematics, 41 (4), 748-775, 2001.
    • (2001) BIT Numerical Mathematics , vol.41 , Issue.4 , pp. 748-775
    • Melnik, K.N.1    Melnik, R.V.N.2
  • 47
    • 0036772192 scopus 로고    scopus 로고
    • Optimal-by-accuracy and optimal-by-order cubature formulae in interpolational classes
    • K.N. Melnik and R.V.N. Melnik, Optimal-by-accuracy and optimal-by-order cubature formulae in interpolational classes, Journal of Computational and Applied Mathematics, 147 (1), 233-262, 2002.
    • (2002) Journal of Computational and Applied Mathematics , vol.147 , Issue.1 , pp. 233-262
    • Melnik, K.N.1    Melnik, R.V.N.2
  • 48
    • 0346485779 scopus 로고    scopus 로고
    • Topological analysis of eigenvalues in engineering computations
    • R.V.N. Melnik, Topological analysis of eigenvalues in engineering computations, Engineering Computations, 17 (4), 386-416, 2000.
    • (2000) Engineering Computations , vol.17 , Issue.4 , pp. 386-416
    • Melnik, R.V.N.1
  • 49
    • 0033877161 scopus 로고    scopus 로고
    • Relaxation-time approximations of quasi-hydrodynamic type in semiconductor device modelling
    • R.V.N. Melnik and H. He, Relaxation-time approximations of quasi-hydrodynamic type in semiconductor device modelling, Modelling and Simulation in Materials Science and Engineering, 8 (2), 133-149, 2000.
    • (2000) Modelling and Simulation in Materials Science and Engineering , vol.8 , Issue.2 , pp. 133-149
    • Melnik, R.V.N.1    He, H.2
  • 50
    • 0347338081 scopus 로고    scopus 로고
    • Quasi-hydrodynamic modelling and computer simulation of coupled thermo-electrical processes in semiconductors
    • R.V.N. Melnik and H. He, Quasi-hydrodynamic modelling and computer simulation of coupled thermo-electrical processes in semiconductors, Mathematics and Computers in Simulation, 52 (3-4), 273-287, 2000.
    • (2000) Mathematics and Computers in Simulation , vol.52 , Issue.3-4 , pp. 273-287
    • Melnik, R.V.N.1    He, H.2
  • 51
    • 0034308306 scopus 로고    scopus 로고
    • Modelling nonlocal processes in semiconductor devices with exponential difference schemes
    • R.V.N. Melnik and H. He, Modelling nonlocal processes in semiconductor devices with exponential difference schemes, Journal of Engineering Mathematics, 38 (3), 233-263, 2000.
    • (2000) Journal of Engineering Mathematics , vol.38 , Issue.3 , pp. 233-263
    • Melnik, R.V.N.1    He, H.2
  • 52
    • 0002957297 scopus 로고    scopus 로고
    • Generalised solutions, discrete models and energy estimates for a 2D problem of coupled field theory
    • R.V.N. Melnik, Generalised solutions, discrete models and energy estimates for a 2D problem of coupled field theory, Applied Mathematics and Computation, 107 (1), 27-55, 2000.
    • (2000) Applied Mathematics and Computation , vol.107 , Issue.1 , pp. 27-55
    • Melnik, R.V.N.1
  • 53
    • 0035892949 scopus 로고    scopus 로고
    • Computational analysis of coupled physical fields in piezothermoelastic media
    • R.V.N. Melnik, Computational analysis of coupled physical fields in piezothermoelastic media, Computer Physics Communications, 142 (1-3), 231-237, 2001.
    • (2001) Computer Physics Communications , vol.142 , Issue.1-3 , pp. 231-237
    • Melnik, R.V.N.1
  • 54
    • 0035517490 scopus 로고    scopus 로고
    • Thermomechanical behaviour of thermoelectric SMA actuators
    • R.V.N. Melnik, A.J. Roberts, Thermomechanical behaviour of thermoelectric SMA actuators, Journal de Physique IV, 11 (PR8), 515-520, 2001.
    • (2001) Journal de Physique IV , vol.11 , Issue.PR8 , pp. 515-520
    • Melnik, R.V.N.1    Roberts, A.J.2
  • 55
    • 3543119332 scopus 로고    scopus 로고
    • Computational models for materials with shape memory: Towards a systematic description of coupled phenomena, Computational Science - ICCS 2002, PT II, Book Series
    • R.V.N. Melnik, A.J. Roberts, Computational models for materials with shape memory: Towards a systematic description of coupled phenomena, Computational Science - ICCS 2002, PT II, Book Series: Lecture Notes in Computer Science, Vol. 2330, 490-499, 2002.
    • (2002) Lecture Notes in Computer Science , vol.2330 , pp. 490-499
    • Melnik, R.V.N.1    Roberts, A.J.2
  • 56
    • 0037259223 scopus 로고    scopus 로고
    • Modelling coupled dynamics: Piezoelectric elements under changing temperature conditions
    • R.V.N. Melnik, Modelling coupled dynamics: Piezoelectric elements under changing temperature conditions, International Communications in Heat and Mass Transfer, 30 (1), 83-92, 2003.
    • (2003) International Communications in Heat and Mass Transfer , vol.30 , Issue.1 , pp. 83-92
    • Melnik, R.V.N.1
  • 57
    • 0347985397 scopus 로고    scopus 로고
    • Mixed electroelastic waves and CFL stability conditions in computational piezoelectricity
    • R.V.N. Melnik, K.N. Zotsenko, Mixed electroelastic waves and CFL stability conditions in computational piezoelectricity, Applied Numerical Mathematics, 48 (1), 41-62, 2004.
    • (2004) Applied Numerical Mathematics , vol.48 , Issue.1 , pp. 41-62
    • Melnik, R.V.N.1    Zotsenko, K.N.2
  • 58
    • 34248182846 scopus 로고    scopus 로고
    • Coupled effects in quantum dot nanostructures with nonlinear strain and bridging modelling scales
    • R. Melnik and R. Mahapatra, Coupled effects in quantum dot nanostructures with nonlinear strain and bridging modelling scales, Computers & Structures, 85 (11-14), 698-711, 2007.
    • (2007) Computers & Structures , vol.85 , Issue.11-14 , pp. 698-711
    • Melnik, R.1    Mahapatra, R.2
  • 59
    • 35248862515 scopus 로고    scopus 로고
    • Computations of coupled electronic states in quantum dot/wetting layer cylindrical structures, Computational Science - ICCS 2003, Pt III
    • Proceedings
    • R.V.N. Melnik, K.N. Zotsenko, Computations of coupled electronic states in quantum dot/wetting layer cylindrical structures, Computational Science - ICCS 2003, Pt III, Proceedings, Lecture Notes in Computer Science, Vol. 2659, 343-349, 2003.
    • (2003) Lecture Notes in Computer Science , vol.2659 , pp. 343-349
    • Melnik, R.V.N.1    Zotsenko, K.N.2
  • 60
    • 74549172639 scopus 로고    scopus 로고
    • R. V. N. Melnik, J. Rimshans, Numerical analysis of fast charge transport in optically sensitive semiconductors, Dynamics of Continuous Discrete and Impulsive Systems - Series B - Applications & Algorithms, Supplement: Suppl. S, 102-107, 2003.
    • R. V. N. Melnik, J. Rimshans, Numerical analysis of fast charge transport in optically sensitive semiconductors, Dynamics of Continuous Discrete and Impulsive Systems - Series B - Applications & Algorithms, Supplement: Suppl. S, 102-107, 2003.
  • 61
    • 0742269384 scopus 로고    scopus 로고
    • Bandstructures of conical quantum dots with wetting layers
    • R. V. N. Melnik, M. Willatzen Bandstructures of conical quantum dots with wetting layers. Nanotechnology, 15 (1), 1-8, 2004.
    • (2004) Nanotechnology , vol.15 , Issue.1 , pp. 1-8
    • Melnik, R.V.N.1    Willatzen, M.2
  • 63
    • 2342470739 scopus 로고    scopus 로고
    • Wave phenomena in physics and engineering: New models, algorithms, and applications
    • R.V.N. Melnik, A. Povitsky, Wave phenomena in physics and engineering: new models, algorithms, and applications, Mathematics and Computers in Simulation, 65 (4-5), 299-302, 2004.
    • (2004) Mathematics and Computers in Simulation , vol.65 , Issue.4-5 , pp. 299-302
    • Melnik, R.V.N.1    Povitsky, A.2
  • 64
    • 1642402800 scopus 로고    scopus 로고
    • Computational models for multi-scale coupled dynamic problems
    • R.V.N. Melnik, A. Roberts, Computational models for multi-scale coupled dynamic problems, Future Generation Computer Systems, 20 (3), 453-464, 2004.
    • (2004) Future Generation Computer Systems , vol.20 , Issue.3 , pp. 453-464
    • Melnik, R.V.N.1    Roberts, A.2
  • 65
    • 33845722819 scopus 로고    scopus 로고
    • R.V.N. Melnik, A. Povitsky, A special issue on modelling coupled and transport phenomena in nanotechnology, Journal of Computational and Theoretical Nanoscience, 3 (4), pp. i-ii, 2006.
    • R.V.N. Melnik, A. Povitsky, A special issue on modelling coupled and transport phenomena in nanotechnology, Journal of Computational and Theoretical Nanoscience, 3 (4), pp. i-ii, 2006.
  • 66
    • 55949118462 scopus 로고    scopus 로고
    • Mathematical and Computational Models for Transport and Coupled Processes in Micro- and Nanotechnology
    • R. Melnik, A. Povitsky, D. Srivastava, Mathematical and Computational Models for Transport and Coupled Processes in Micro- and Nanotechnology, Journal of Nanoscience and Nanotechnology, 8 (7), 3626-3627, 2008.
    • (2008) Journal of Nanoscience and Nanotechnology , vol.8 , Issue.7 , pp. 3626-3627
    • Melnik, R.1    Povitsky, A.2    Srivastava, D.3
  • 67
    • 74549150351 scopus 로고    scopus 로고
    • Multiple Scales and Coupled Effects in Modelling Low Dimensional Semiconductor Nanostructures: Between Atomistic and Continuum Worlds, Encyclopedia of Complexity and Systems Science, Springer
    • to appear
    • R. Melnik, Multiple Scales and Coupled Effects in Modelling Low Dimensional Semiconductor Nanostructures: Between Atomistic and Continuum Worlds, Encyclopedia of Complexity and Systems Science, Springer, to appear, 2009.
    • (2009)
    • Melnik, R.1
  • 68
    • 0001462495 scopus 로고
    • Evaluation of various approximations used in the envelope-function method
    • A. T. Meney, Besire Gonul, and E. P. O'Reilly. Evaluation of various approximations used in the envelope-function method. Phys. Rev. B, 50, 10893, 1994.
    • (1994) Phys. Rev. B , vol.50 , pp. 10893
    • Meney, A.T.1    Gonul, B.2    O'Reilly, E.P.3
  • 69
    • 43049093713 scopus 로고    scopus 로고
    • Electric field effect on electron spin splitting in SiGe/Si quantum wells
    • M.O. Nestoklon, E.L. Ivchenko, J.M. Jancu, P. Voisin, Electric field effect on electron spin splitting in SiGe/Si quantum wells Phys. Rev. B, 77, 155328, 2008.
    • (2008) Phys. Rev. B , vol.77 , pp. 155328
    • Nestoklon, M.O.1    Ivchenko, E.L.2    Jancu, J.M.3    Voisin, P.4
  • 70
    • 33749158829 scopus 로고    scopus 로고
    • Real-space electronic-structure calculations with a time-saving double-grid technique
    • T. Ono, K. Hirose, Real-space electronic-structure calculations with a time-saving double-grid technique, Phys. Rev. B, 72 (8), 085115, 2005.
    • (2005) Phys. Rev. B , vol.72 , Issue.8 , pp. 085115
    • Ono, T.1    Hirose, K.2
  • 71
    • 60449108365 scopus 로고    scopus 로고
    • T. Ono, K. Hirose, Real-space density-functional calculations for transport properties of nanostructures, Journal of Computational and Theoretical Nanoscience, 4 (5), 840-859, 2007.
    • T. Ono, K. Hirose, Real-space density-functional calculations for transport properties of nanostructures, Journal of Computational and Theoretical Nanoscience, 4 (5), 840-859, 2007.
  • 73
    • 42649097591 scopus 로고    scopus 로고
    • 8-band k × p modeling of the quantum confined Stark effect in Ge quantum wells on Si substrates
    • D.J. Paul, 8-band k × p modeling of the quantum confined Stark effect in Ge quantum wells on Si substrates, Phys. Rev. B, 77, 155323, 2008.
    • (2008) Phys. Rev. B , vol.77 , pp. 155323
    • Paul, D.J.1
  • 74
    • 0035894361 scopus 로고    scopus 로고
    • E.P. Pokatilov, V.A. Fonoberov, V.M. Fomin and J.T. Devrees Development of an eight-band theory for quantum dot heterostructures, Prys. Rev. B, 64, 245328-1, 2001.
    • E.P. Pokatilov, V.A. Fonoberov, V.M. Fomin and J.T. Devrees Development of an eight-band theory for quantum dot heterostructures, Prys. Rev. B, 64, 245328-1, 2001.
  • 75
    • 33749501247 scopus 로고    scopus 로고
    • Resonant tunneling heterostructure devices - Dependencies on thickness and number of quantum wells, Computational Science and its Applications - - ICCSA 2004, PT 3 Book Series
    • N. Radulovic et al., Resonant tunneling heterostructure devices - Dependencies on thickness and number of quantum wells, Computational Science and its Applications - - ICCSA 2004, PT 3 Book Series: Lecture Notes in Computer Science, Vol. 3045, 817-826, 2004.
    • (2004) Lecture Notes in Computer Science , vol.3045 , pp. 817-826
    • Radulovic, N.1
  • 77
    • 0037085818 scopus 로고    scopus 로고
    • General boundary conditions for the envelope fnuction in the multiband k.p model
    • A. V. Rodina, A. Yu Alekseev, Al. L. Elfros, M. Rosen, and B. K. Meyer. General boundary conditions for the envelope fnuction in the multiband k.p model. Phys. Rev. B, 65, 125302-1, 2002.
    • (2002) Phys. Rev. B , vol.65 , pp. 125302-125311
    • Rodina, A.V.1    Yu Alekseev, A.2    Elfros, A.L.3    Rosen, M.4    Meyer, B.K.5
  • 78
    • 33644850155 scopus 로고    scopus 로고
    • Least-action principle for envelope functions in abrupt heterostructures
    • A.V. Rodina and A.Y. Alekseev, Least-action principle for envelope functions in abrupt heterostructures, Phys. Rev. B, 73, 115312, 2006.
    • (2006) Phys. Rev. B , vol.73 , pp. 115312
    • Rodina, A.V.1    Alekseev, A.Y.2
  • 79
    • 36349008564 scopus 로고    scopus 로고
    • Impact of size, shape, and composition on piezoelectric effects and electronic properties of In(Ga)As/GaAs quantum dots
    • A. Schliwa, M. Winkelnkemper, and D. Bimberg, Impact of size, shape, and composition on piezoelectric effects and electronic properties of In(Ga)As/GaAs quantum dots, Phys. Rev. B, 76, 205324, 2007.
    • (2007) Phys. Rev. B , vol.76 , pp. 205324
    • Schliwa, A.1    Winkelnkemper, M.2    Bimberg, D.3
  • 80
    • 0032620750 scopus 로고    scopus 로고
    • Intrinsic gap states in semiconductor nanocrystals
    • P.C. Sercel, A. L. Efros, and M. Rosen, Intrinsic gap states in semiconductor nanocrystals, Phys. Rev. Lett., 83, 2394, 1999.
    • (1999) Phys. Rev. Lett , vol.83 , pp. 2394
    • Sercel, P.C.1    Efros, A.L.2    Rosen, M.3
  • 83
    • 36849035321 scopus 로고    scopus 로고
    • Electromechanical interactions in a carbon nanotube based thin film field emitting diode
    • N. Sinha et al., Electromechanical interactions in a carbon nanotube based thin film field emitting diode, Nanotechnology, 19 (2), 025701, 2008.
    • (2008) Nanotechnology , vol.19 , Issue.2 , pp. 025701
    • Sinha, N.1
  • 84
    • 36149025291 scopus 로고
    • Electrons in perturbed periodic lattices
    • J.C. Slater, Electrons in perturbed periodic lattices, Physical Review, 76 (11), 1592-1601, 1949.
    • (1949) Physical Review , vol.76 , Issue.11 , pp. 1592-1601
    • Slater, J.C.1
  • 85
    • 28244446937 scopus 로고    scopus 로고
    • Solution to spurious bands and spurious real solutions in the envelope- function approximation
    • F. Szmulowicz, Solution to spurious bands and spurious real solutions in the envelope- function approximation, Phys. Rev. B, 71, 245117, 2005.
    • (2005) Phys. Rev. B , vol.71 , pp. 245117
    • Szmulowicz, F.1
  • 86
    • 0037091642 scopus 로고    scopus 로고
    • Interface electronic states and boundary conditions for envelope functions
    • I.V. Tokatly, A.G. Tsibizov, and A.A. Gorbatsevich, Interface electronic states and boundary conditions for envelope functions, Phys. Rev. B, 65, 165328, 2002.
    • (2002) Phys. Rev. B , vol.65 , pp. 165328
    • Tokatly, I.V.1    Tsibizov, A.G.2    Gorbatsevich, A.A.3
  • 87
    • 35649016635 scopus 로고    scopus 로고
    • Ellipticity and the spurious solution problem of k p envelope equations
    • R. G. Veprek, S. Steiger, and B. Witzigmann, Ellipticity and the spurious solution problem of k p envelope equations, Phys. Rev. B, 76 (16), 165320, 2007.
    • (2007) Phys. Rev. B , vol.76 , Issue.16 , pp. 165320
    • Veprek, R.G.1    Steiger, S.2    Witzigmann, B.3
  • 89
    • 0001141135 scopus 로고    scopus 로고
    • Real and spurious solutions of the 8x8 k.p model for nanostructures
    • L.-W. Wang, Real and spurious solutions of the 8x8 k.p model for nanostructures, Phys. Rev. B, 61, 7241, 2000.
    • (2000) Phys. Rev. B , vol.61 , pp. 7241
    • Wang, L.-W.1
  • 90
    • 33745315466 scopus 로고    scopus 로고
    • Dynamics of shape memory alloys patches with mechanically induced transformations
    • L.X. Wang, R. Melnik, Dynamics of shape memory alloys patches with mechanically induced transformations, Discrete and Continuous Dynamical Systems, 15 (4), 1237-1252, 2006.
    • (2006) Discrete and Continuous Dynamical Systems , vol.15 , Issue.4 , pp. 1237-1252
    • Wang, L.X.1    Melnik, R.2
  • 91
    • 33751095406 scopus 로고    scopus 로고
    • Differential-algebraic approach to coupled problems of dynamic thermoelasticity
    • L.X. Wang, R.V.N. Melnik, Differential-algebraic approach to coupled problems of dynamic thermoelasticity, Applied Mathematics and Mechanics, 27 (9), 1185-1196, 2006.
    • (2006) Applied Mathematics and Mechanics , vol.27 , Issue.9 , pp. 1185-1196
    • Wang, L.X.1    Melnik, R.V.N.2
  • 92
    • 33847231638 scopus 로고    scopus 로고
    • Finite volume analysis of nonlinear thermo-mechanical dynamics of shape memory alloys
    • L.X. Wang, R.V.N. Melnik, Finite volume analysis of nonlinear thermo-mechanical dynamics of shape memory alloys, Heat and Mass Transfer, 43 (6), 535-546, 2007.
    • (2007) Heat and Mass Transfer , vol.43 , Issue.6 , pp. 535-546
    • Wang, L.X.1    Melnik, R.V.N.2
  • 93
    • 34147183929 scopus 로고    scopus 로고
    • Model reduction applied to square to rectangular martensitic transformations using proper orthogonal decomposition
    • L.X. Wang, R.V.N. Melnik, Model reduction applied to square to rectangular martensitic transformations using proper orthogonal decomposition, Applied Numerical Mathematics, 57 (5-7), 510-520, 2007.
    • (2007) Applied Numerical Mathematics , vol.57 , Issue.5-7 , pp. 510-520
    • Wang, L.X.1    Melnik, R.V.N.2
  • 94
    • 39649091662 scopus 로고    scopus 로고
    • Simulation of phase combinations in shape memory alloys patches by hybrid optimization methods
    • L.X. Wang, R.V.N. Melnik, Simulation of phase combinations in shape memory alloys patches by hybrid optimization methods, Applied Numerical Mathematics, 58 (4), 511-524, 2008.
    • (2008) Applied Numerical Mathematics , vol.58 , Issue.4 , pp. 511-524
    • Wang, L.X.1    Melnik, R.V.N.2
  • 95
    • 0001630651 scopus 로고    scopus 로고
    • Linear combination of bulk bands method for large-scale electronic structure calculations on strained nanostructures
    • L.W. Wang, A. Zunger, Linear combination of bulk bands method for large-scale electronic structure calculations on strained nanostructures, Phys. Rev. B, 59 (24), 15806-15818, 1999.
    • (1999) Phys. Rev. B , vol.59 , Issue.24 , pp. 15806-15818
    • Wang, L.W.1    Zunger, A.2
  • 96
    • 55649116473 scopus 로고    scopus 로고
    • Relative stability of nanosized wurtzite and graphitic ZnO from density functional theory
    • B. Wen, R. Melnik, Relative stability of nanosized wurtzite and graphitic ZnO from density functional theory, Chemical Physics Letters, 466 (1-3), 84-87, 2008.
    • (2008) Chemical Physics Letters , vol.466 , Issue.1-3 , pp. 84-87
    • Wen, B.1    Melnik, R.2
  • 97
    • 46649095840 scopus 로고    scopus 로고
    • First principles molecular dynamics study of CdS nanostructure temperature-dependent phase stability
    • B. Wen, R.V.N. Melnik, First principles molecular dynamics study of CdS nanostructure temperature-dependent phase stability, Applied Physics Letters, 92 (26), 261911, 2008.
    • (2008) Applied Physics Letters , vol.92 , Issue.26 , pp. 261911
    • Wen, B.1    Melnik, R.V.N.2
  • 98
    • 35949021835 scopus 로고
    • Electronic properties of flat-band semiconductor heterostruc- tures
    • S. R. White and L. J. Sham, Electronic properties of flat-band semiconductor heterostruc- tures, Physical Review Letters, 47, 879, 1981.
    • (1981) Physical Review Letters , vol.47 , pp. 879
    • White, S.R.1    Sham, L.J.2
  • 99
    • 35248887127 scopus 로고    scopus 로고
    • Finite element analysis of nanowire superlattice structures, Computational Science and Its Applications - ICCSA 2003, Pt 2
    • Proceedings
    • M. Willatzen et al., Finite element analysis of nanowire superlattice structures, Computational Science and Its Applications - ICCSA 2003, Pt 2, Proceedings, Lecture Notes in Computer Science, Vol. 2668, 755-763, 2003.
    • (2003) Lecture Notes in Computer Science , vol.2668 , pp. 755-763
    • Willatzen, M.1
  • 101
    • 33746873335 scopus 로고    scopus 로고
    • Dynamic coupling of piezoelectric effects, spontaneous polarization, and strain in lattice-mismatched semiconductor quantum-well heterostructures
    • M. Willatzen, B. Lassen, L.C. Lew Yan Voon, and R.V.N Melnik, Dynamic coupling of piezoelectric effects, spontaneous polarization, and strain in lattice-mismatched semiconductor quantum-well heterostructures, Journal of Applied Physics, 100, 024302, 2006.
    • (2006) Journal of Applied Physics , vol.100 , pp. 024302
    • Willatzen, M.1    Lassen, B.2    Lew Yan Voon, L.C.3    Melnik, R.V.N.4
  • 102
    • 0000045254 scopus 로고
    • General approach to the envelope-function approximation based on a quadrature method
    • R. Winkler and U. Rossler. General approach to the envelope-function approximation based on a quadrature method. Phys. Rev. B, 48, 8918, 1993.
    • (1993) Phys. Rev. B , vol.48 , pp. 8918
    • Winkler, R.1    Rossler, U.2
  • 103
    • 48249087983 scopus 로고    scopus 로고
    • Numerical quadrature for Bessel transformations
    • S.H. Xiang, W.H. Gui, and P.H. Mo, Numerical quadrature for Bessel transformations, Applied Numerical Mathematics, 58 (9), 1247-1261, 2008.
    • (2008) Applied Numerical Mathematics , vol.58 , Issue.9 , pp. 1247-1261
    • Xiang, S.H.1    Gui, W.H.2    Mo, P.H.3
  • 104
    • 29744465285 scopus 로고    scopus 로고
    • Origin and elimination of spurious solutions of the eight-band k.p theory
    • W. Yang and K. Chang. Origin and elimination of spurious solutions of the eight-band k.p theory. Phys. Rev. B, 72, 233309, 2005.
    • (2005) Phys. Rev. B , vol.72 , pp. 233309
    • Yang, W.1    Chang, K.2
  • 105
    • 10444288730 scopus 로고    scopus 로고
    • Optimal minimax algorithm for integrating fast oscillatory functions in two dimensions
    • K.N. Zotsenko and R.V.N. Melnik, Optimal minimax algorithm for integrating fast oscillatory functions in two dimensions, Engineering Computations, 21 (7-8), 834-847, 2004.
    • (2004) Engineering Computations , vol.21 , Issue.7-8 , pp. 834-847
    • Zotsenko, K.N.1    Melnik, R.V.N.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.