메뉴 건너뛰기




Volumn 7, Issue 4, 2008, Pages 521-529

Reliable k·p band structure calculation for nanostructures using finite elements

Author keywords

Band structure; Finite elements; k p; Nanostructures; Spurious solutions; Strain

Indexed keywords

BAND STRUCTURE; CONVERGENCE OF NUMERICAL METHODS; CRYSTALLOGRAPHY; ELECTRONIC PROPERTIES; NANOSTRUCTURED MATERIALS; NANOSTRUCTURES; SOLUTIONS; ZINC; ZINC SULFIDE;

EID: 55849130337     PISSN: 15698025     EISSN: 15728137     Source Type: Journal    
DOI: 10.1007/s10825-008-0262-y     Document Type: Article
Times cited : (31)

References (42)
  • 1
    • 29644444965 scopus 로고    scopus 로고
    • First-principles envelope-function theory for lattice-matched semiconductor heterostructures
    • Foreman, B.A.: First-principles envelope-function theory for lattice-matched semiconductor heterostructures. Phys. Rev. B 72, 165,345 (2005)
    • (2005) Phys. Rev. B , vol.72
    • Foreman, B.A.1
  • 2
    • 34547109628 scopus 로고    scopus 로고
    • Valence-band mixing in first-principles envelope-function theory
    • Foreman, B.A.: Valence-band mixing in first-principles envelope-function theory. Phys. Rev. B 76, 045,327 (2007)
    • (2007) Phys. Rev. B , vol.76
    • Foreman, B.A.1
  • 3
    • 0001697803 scopus 로고    scopus 로고
    • Comparison of the k · p and direct diagonalization approaches to the electronic structure of inas/gaas quantum dots
    • Wang, L.W., Williamson, A.J., Zunger, A., Jiang, H., Singh, J.: Comparison of the k · p and direct diagonalization approaches to the electronic structure of inas/gaas quantum dots. Appl. Phys. Lett. 76, 339 (2000)
    • (2000) Appl. Phys. Lett. , vol.76 , pp. 339
    • Wang, L.W.1    Williamson, A.J.2    Zunger, A.3    Jiang, H.4    Singh, J.5
  • 4
    • 0000270836 scopus 로고    scopus 로고
    • Successes and failures of the k · p method: A direct assessment for gaas/alas quantum structures
    • Wood, D.M., Zunger, A.: Successes and failures of the k · p method: A direct assessment for gaas/alas quantum structures. Phys. Rev. B 53, 7949 (1996)
    • (1996) Phys. Rev. B , vol.53 , pp. 7949
    • Wood, D.M.1    Zunger, A.2
  • 5
    • 0000390756 scopus 로고    scopus 로고
    • Applicability of the k · p method to the electronic structure of quantum dots
    • Fu, H., Wang, L.W., Zunger, A.: Applicability of the k · p method to the electronic structure of quantum dots. Phys. Rev. B 57, 9971 (1998)
    • (1998) Phys. Rev. B , vol.57 , pp. 9971
    • Fu, H.1    Wang, L.W.2    Zunger, A.3
  • 6
    • 0036544461 scopus 로고    scopus 로고
    • On the farsightedness (hyperopia) of the standard k · p model
    • Zunger, A.: On the farsightedness (hyperopia) of the standard k · p model. Phys. Stat. Sol. (A) 190, 467 (2002)
    • (2002) Phys. Stat. Sol. (A) , vol.190 , pp. 467
    • Zunger, A.1
  • 7
    • 35649016635 scopus 로고    scopus 로고
    • Ellipticity and the spurious solution problem of k · p envelope equations
    • Veprek, R.G., Steiger, S., Witzigmann, B.: Ellipticity and the spurious solution problem of k · p envelope equations. Phys. Rev. B 76, 165,320 (2007)
    • (2007) Phys. Rev. B , vol.76
    • Veprek, R.G.1    Steiger, S.2    Witzigmann, B.3
  • 8
    • 0010376645 scopus 로고
    • The justification for applying the effective-mass approximation to microstructures
    • Burt, M.G.: The justification for applying the effective-mass approximation to microstructures. J. Phys.: Condens. Matter 4, 6651-6690 (1992)
    • (1992) J. Phys.: Condens. Matter , vol.4 , pp. 6651-6690
    • Burt, M.G.1
  • 9
    • 0002494872 scopus 로고    scopus 로고
    • Fundamentals of envelope function theory for electronic states and photonic modes in nanostructures
    • Burt, M.G.: 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
  • 10
    • 0000489578 scopus 로고    scopus 로고
    • Elimination of spurious solutions from eight-band k · p theory
    • Foreman, B.A.: Elimination of spurious solutions from eight-band k · p theory. Phys. Rev. B 56, R12,748 (1997)
    • (1997) Phys. Rev. B , vol.56
    • Foreman, B.A.1
  • 13
    • 0000778213 scopus 로고    scopus 로고
    • Eight-band calculations of strained inas/gaas quantum dots compared with one-, four-, and six-band approximations
    • Pryor, C.: Eight-band calculations of strained inas/gaas quantum dots compared with one-, four-, and six-band approximations. Phys. Rev. B 57, 7190 (1998)
    • (1998) Phys. Rev. B , vol.57 , pp. 7190
    • Pryor, C.1
  • 14
    • 0001107041 scopus 로고    scopus 로고
    • Geometry and material parameter dependence of inas/gaas quantum dot electronic structure
    • Pryor, C.: Geometry and material parameter dependence of inas/gaas quantum dot electronic structure. Phys. Rev. B 60, 2869 (1999)
    • (1999) Phys. Rev. B , vol.60 , pp. 2869
    • Pryor, C.1
  • 15
    • 0037100874 scopus 로고    scopus 로고
    • Calculations of the electronic structure of strained inas quantum dots in inp
    • Holm, M., Pistol, M.E., Pryor, C.: Calculations of the electronic structure of strained inas quantum dots in inp. J. Appl. Phys. 92, 932 (2002)
    • (2002) J. Appl. Phys. , vol.92 , pp. 932
    • Holm, M.1    Pistol, M.E.2    Pryor, C.3
  • 16
    • 0000211543 scopus 로고
    • Simple calculations of confinemenet states in a quantum well
    • Schuurmans, M.F.H., t'Hooft, G.W.: Simple calculations of confinemenet states in a quantum well. Phys. Rev. B. 31, 8041 (1985)
    • (1985) Phys. Rev. B. , vol.31 , pp. 8041
    • Schuurmans, M.F.H.1    t'Hooft, G.W.2
  • 17
    • 0000529147 scopus 로고    scopus 로고
    • Modeling of strained quantum wires using eight-band k · p theory
    • Stier, O., Bimberg, D.: Modeling of strained quantum wires using eight-band k · p theory. Phys. Rev. B 55, 7726 (1997)
    • (1997) Phys. Rev. B , vol.55 , pp. 7726
    • Stier, O.1    Bimberg, D.2
  • 18
    • 0001089438 scopus 로고    scopus 로고
    • Electronic and optical properties of strained quantum dots modeled by 8-band k · p theory
    • Stier, O., Grundmann, M., Bimberg, D.: Electronic and optical properties of strained quantum dots modeled by 8-band k · p theory. Phys. Rev. B 59, 5688 (1999)
    • (1999) Phys. Rev. B , vol.59 , pp. 5688
    • Stier, O.1    Grundmann, M.2    Bimberg, D.3
  • 20
    • 36049054544 scopus 로고
    • Interband magneto-absorption and Faraday rotation in insb
    • Pidgeon, C.R., Brown, R.N.: Interband magneto-absorption and Faraday rotation in insb. Phys. Rev. 146, 146 (1966)
    • (1966) Phys. Rev. , vol.146 , pp. 146
    • Pidgeon, C.R.1    Brown, R.N.2
  • 21
    • 0008200326 scopus 로고
    • k · p theory of energy bands, wave functions, and optical selection rules in strained tetrahedral semiconductors
    • Enders, P., Barwolff, A., Woerner, M., Suisky, D.: K · p theory of energy bands, wave functions, and optical selection rules in strained tetrahedral semiconductors. Phys. Rev. B 51, 16,695 (1995)
    • (1995) Phys. Rev. B , vol.51
    • Enders, P.1    Barwolff, A.2    Woerner, M.3    Suisky, D.4
  • 22
    • 4444330366 scopus 로고    scopus 로고
    • Exact envelope-function theory versus symmetrized hamiltonian for quantum wires: A comparison
    • Lassen, B., Voon, L.C.L.Y., Willatzen, M., Melnik, R.: Exact envelope-function theory versus symmetrized hamiltonian for quantum wires: A comparison. Solid State Commun. 132, 141 (2004)
    • (2004) Solid State Commun. , vol.132 , pp. 141
    • Lassen, B.1    Voon, L.C.L.Y.2    Willatzen, M.3    Melnik, R.4
  • 23
    • 0000070839 scopus 로고    scopus 로고
    • k · p method for strained wurtzite semiconductors
    • Chuang, S.L., Chang, C.S.: K · p method for strained wurtzite semiconductors. Phys. Rev. B 54, 2491 (1996)
    • (1996) Phys. Rev. B , vol.54 , pp. 2491
    • Chuang, S.L.1    Chang, C.S.2
  • 24
    • 38149117406 scopus 로고    scopus 로고
    • Nitride Semiconductor Devices: Principles and Simulation, chap
    • USA, NUSOD Institute Newark (2007), DE 19714-7204
    • Hader, J., Moloney, J.V., Thranhardt, A., Koch, S.W.: Nitride Semiconductor Devices: Principles and Simulation, chap. Interband Transitions in InGaN Quantum Wells, pp. 145-167. USA, NUSOD Institute Newark (2007), DE 19714-7204
    • Interband Transitions in InGaN Quantum Wells , pp. 145-167
    • Hader, J.1    Moloney, J.V.2    Thranhardt, A.3    Koch, S.W.4
  • 26
    • 0000086236 scopus 로고    scopus 로고
    • Strain and crystallographic orientation effects on the valence subbands of wurtzite quantum wells
    • Mireles, F., Ulloa, S.E.: Strain and crystallographic orientation effects on the valence subbands of wurtzite quantum wells. Phys. Rev. B. 62, 2562 (2000)
    • (2000) Phys. Rev. B. , vol.62 , pp. 2562
    • Mireles, F.1    Ulloa, S.E.2
  • 27
    • 0141990606 scopus 로고    scopus 로고
    • Band parameters for nitrogen-containing semiconductors
    • Vurgaftman, I., Meyer, J.R.: Band parameters for nitrogen-containing semiconductors. Appl. Phys. Rev. 94, 3675 (2003)
    • (2003) Appl. Phys. Rev. , vol.94 , pp. 3675
    • Vurgaftman, I.1    Meyer, J.R.2
  • 29
    • 0000993122 scopus 로고    scopus 로고
    • Comparison of two methods for describing the strain profiles in quantum dots
    • Pryor, C., Kim, J., Wang, L.W., Williamson, A.J., Zunger, A.: Comparison of two methods for describing the strain profiles in quantum dots. J. Appl. Phys. 83, 2548 (1998)
    • (1998) J. Appl. Phys. , vol.83 , pp. 2548
    • Pryor, C.1    Kim, J.2    Wang, L.W.3    Williamson, A.J.4    Zunger, A.5
  • 31
    • 35949009591 scopus 로고
    • Eight-band k · p model of strained zinc-blende crystals
    • Bahder, T.B.: Eight-band k · p model of strained zinc-blende crystals. Phys. Rev. B 41, 11,992 (1990)
    • (1990) Phys. Rev. B , vol.41
    • Bahder, T.B.1
  • 33
    • 0035254615 scopus 로고    scopus 로고
    • The influence of strain on confined electronic states in semiconductor quantum structures
    • Johnson, H.T., Freund, L.B.: The influence of strain on confined electronic states in semiconductor quantum structures. Int. J. Sol. Struct. 38, 1045 (2001)
    • (2001) Int. J. Sol. Struct. , vol.38 , pp. 1045
    • Johnson, H.T.1    Freund, L.B.2
  • 34
    • 4344633051 scopus 로고    scopus 로고
    • Finite element analysis of valence band structures in quantum wires
    • Park, S.H., Ahn, D., Lee, Y.T.: Finite element analysis of valence band structures in quantum wires. J. Appl. Phys. 96, 2055 (2004)
    • (2004) J. Appl. Phys. , vol.96 , pp. 2055
    • Park, S.H.1    Ahn, D.2    Lee, Y.T.3
  • 37
    • 0030560293 scopus 로고    scopus 로고
    • A Jacobi-Davidson iteration method for linear eigenvalue problems
    • Sleijpen, G.L.G., Van der Vorst, H.A.: A Jacobi-Davidson iteration method for linear eigenvalue problems. SIAM J. Matrix Analysis Appl. 17 (2), 401-425 (1996). http:cIteseer.ist.psu.edu/ sleijpen00jacobidavidson.html
    • (1996) SIAM J. Matrix Analysis Appl. , vol.17 , Issue.2 , pp. 401-425
    • Sleijpen, G.L.G.1    Van der Vorst, H.A.2
  • 39
    • 1642370513 scopus 로고    scopus 로고
    • Solving unsymmetric sparse systems of linear equations with pardiso
    • Schenk, O., Gärtner, K.: Solving unsymmetric sparse systems of linear equations with pardiso. J. Future Gener. Comput. Syst. 20, 475-487 (2004)
    • (2004) J. Future Gener. Comput. Syst. , vol.20 , pp. 475-487
    • Schenk, O.1    Gärtner, K.2
  • 40
    • 55849084354 scopus 로고    scopus 로고
    • Parallel iterative solvers in computational electronics
    • Ph.D. thesis, ETH Zürich
    • Röllin, S.: Parallel iterative solvers in computational electronics. Ph.D. thesis, ETH Zürich (2004)
    • (2004)
    • Röllin, S.1
  • 41
    • 0035356466 scopus 로고    scopus 로고
    • Band parameters for iii-v compound semiconductors and their alloys
    • Vurgaftman, I., Meyer, J.R.: Band parameters for iii-v compound semiconductors and their alloys. Appl. Phys. Rev. 89, 5815 (2001)
    • (2001) Appl. Phys. Rev. , vol.89 , pp. 5815
    • Vurgaftman, I.1    Meyer, J.R.2
  • 42
    • 55849146266 scopus 로고    scopus 로고
    • Unified simulation of transport and luminescence in optoelectronic nanostructures
    • (this issue). doi: 10.1007/s10825-008-0261-z
    • Steiger, S., Veprek, R.G., Witzigmann, B.: Unified simulation of transport and luminescence in optoelectronic nanostructures. J. Comput. Electron. (2008, this issue). doi: 10.1007/s10825-008-0261-z
    • (2008) J. Comput. Electron.
    • Steiger, S.1    Veprek, R.G.2    Witzigmann, B.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.