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Volumn 60, Issue 6, 2000, Pages 2029-2057

Bifurcation behavior of a superlattice model

Author keywords

[No Author keywords available]

Indexed keywords

BIFURCATION (MATHEMATICS); CHAOS THEORY; ELECTRIC POTENTIAL; MATHEMATICAL MODELS; PERTURBATION TECHNIQUES; PHASE DIAGRAMS; SEMICONDUCTOR DOPING; SEMICONDUCTOR MATERIALS;

EID: 0034476269     PISSN: 00361399     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0036139998336754     Document Type: Article
Times cited : (15)

References (49)
  • 1
    • 0000845863 scopus 로고    scopus 로고
    • Microscopic model for sequential tunneling in semiconductor multiple quantum wells
    • R. AGUADO, G. PLATERO, M. MOSCOSO, AND L. L. BONILLA, Microscopic model for sequential tunneling in semiconductor multiple quantum wells, Phys. Rev. B (rc), 56 (1997), pp. 16053-16056.
    • (1997) Phys. Rev. B (rc) , vol.56 , pp. 16053-16056
    • Aguado, R.1    Platero, G.2    Moscoso, M.3    Bonilla, L.L.4
  • 3
    • 0001464686 scopus 로고
    • Dynamics of electric-field domains and oscillations of the photocurrent in a simple superlattice model
    • L. L. BONILLA, J. GALÁN, J. A. CUESTA, F. MARTÍNEZ, AND J. M. MOLERA, Dynamics of electric-field domains and oscillations of the photocurrent in a simple superlattice model, Phys. Rev. B, 50 (1994), pp. 8644-8657.
    • (1994) Phys. Rev. B , vol.50 , pp. 8644-8657
    • Bonilla, L.L.1    Galán, J.2    Cuesta, J.A.3    Martínez, F.4    Molera, J.M.5
  • 4
    • 0029533282 scopus 로고
    • The onset and end of the Gunn effect in extrinsic semiconductors
    • L. L. BONILLA AND F. J. HIGUERA, The onset and end of the Gunn effect in extrinsic semiconductors, SIAM J. Appl. Math., 55 (1995), pp. 1625-1649.
    • (1995) SIAM J. Appl. Math. , vol.55 , pp. 1625-1649
    • Bonilla, L.L.1    Higuera, F.J.2
  • 5
    • 0031333575 scopus 로고    scopus 로고
    • Periodic generation and propagation of traveling fronts in DC voltage biased semiconductor superlattices
    • L. L. BONILLA, M. KINDELAN, M. MOSCOSO, AND S. VENAKIDES, Periodic generation and propagation of traveling fronts in DC voltage biased semiconductor superlattices, SIAM J. Appl. Math., 57 (1997), pp. 1588-1614.
    • (1997) SIAM J. Appl. Math. , vol.57 , pp. 1588-1614
    • Bonilla, L.L.1    Kindelan, M.2    Moscoso, M.3    Venakides, S.4
  • 6
    • 25344434679 scopus 로고    scopus 로고
    • Microscopic derivation of the drift velocity and diffusion coefficients in discrete drift-diffusion models of weakly coupled superlattices
    • submitted
    • L. L. BONILLA, G. PLATERO, AND D. SÁNCHEZ, Microscopic derivation of the drift velocity and diffusion coefficients in discrete drift-diffusion models of weakly coupled superlattices, Phys. Rev. B, submitted.
    • Phys. Rev. B
    • Bonilla, L.L.1    Platero, G.2    Sánchez, D.3
  • 7
    • 3543048669 scopus 로고
    • Current instability and domain propagation due to Bragg scattering
    • M. BÜTTIKER AND H. THOMAS, Current instability and domain propagation due to Bragg scattering, Phys. Rev. Lett., 38 (1977), pp. 78-80.
    • (1977) Phys. Rev. Lett. , vol.38 , pp. 78-80
    • Büttiker, M.1    Thomas, H.2
  • 8
    • 21844486228 scopus 로고
    • Numerical detection and continuation of codimension-two homoclinic bifurcations
    • A. R. CHAMPNEYS AND Y. A. KUZNETSOV, Numerical detection and continuation of codimension-two homoclinic bifurcations, Int. J. Bif. and Chaos., 4 (1994), pp. 785-822.
    • (1994) Int. J. Bif. and Chaos. , vol.4 , pp. 785-822
    • Champneys, A.R.1    Kuznetsov, Y.A.2
  • 9
    • 12044252828 scopus 로고
    • Pattern formation outside of equilibrium
    • M. C. CROSS AND P. C. HOHENBERG, Pattern formation outside of equilibrium, Rev. Mod. Phys., 65 (1993), pp. 851-1112.
    • (1993) Rev. Mod. Phys. , vol.65 , pp. 851-1112
    • Cross, M.C.1    Hohenberg, P.C.2
  • 11
    • 0000076421 scopus 로고
    • New transport phenomenon in a semiconductor superlattice
    • L. ESAKI AND L. L. CHANG, New transport phenomenon in a semiconductor superlattice, Phys. Rev. Lett., 33 (1974), pp. 495-498.
    • (1974) Phys. Rev. Lett. , vol.33 , pp. 495-498
    • Esaki, L.1    Chang, L.L.2
  • 12
    • 0008650129 scopus 로고
    • Superlattice and negative conductivity in semiconductors
    • L. ESAKI AND R. TSU, Superlattice and Negative Conductivity in Semiconductors, IBM Res. Note RC-2418, 1969.
    • (1969) IBM Res. Note RC-2418
    • Esaki, L.1    Tsu, R.2
  • 13
    • 0014707790 scopus 로고
    • Superlattice and negative differential conductivity in semiconductors
    • L. ESAKI AND R. TSU, Superlattice and negative differential conductivity in semiconductors, IBM J. Res. Develop., 14 (1970), pp. 61-65.
    • (1970) IBM J. Res. Develop. , vol.14 , pp. 61-65
    • Esaki, L.1    Tsu, R.2
  • 14
    • 2742611797 scopus 로고
    • A case study for homoclinic chaos in an autonomous electronic circuit. A trip from Takens-Bogdanov to Hopf-Šil'nikov
    • E. FREIRE, A. J. RODRÍGUEZ-LUIS, E. GAMERO, AND E. PONCE, A case study for homoclinic chaos in an autonomous electronic circuit. A trip from Takens-Bogdanov to Hopf-Šil'nikov, Phys. D, 62 (1993) pp. 230-253.
    • (1993) Phys. D , vol.62 , pp. 230-253
    • Freire, E.1    Rodríguez-Luis, A.J.2    Gamero, E.3    Ponce, E.4
  • 22
    • 0001197055 scopus 로고
    • Electric and electromagnetic properties of semiconductors with a superlattice
    • R. F. KAZARINOV AND R. A. SURIS, Electric and electromagnetic properties of semiconductors with a superlattice, Fiz. Tekh. Poluprov., 6 (1972), pp. 148; Sov. Phys. Semicond., 6 (1972), pp. 120-131.
    • (1972) Fiz. Tekh. Poluprov. , vol.6 , pp. 148
    • Kazarinov, R.F.1    Suris, R.A.2
  • 23
    • 0001687727 scopus 로고
    • R. F. KAZARINOV AND R. A. SURIS, Electric and electromagnetic properties of semiconductors with a superlattice, Fiz. Tekh. Poluprov., 6 (1972), pp. 148; Sov. Phys. Semicond., 6 (1972), pp. 120-131.
    • (1972) Sov. Phys. Semicond. , vol.6 , pp. 120-131
  • 24
    • 0343749113 scopus 로고
    • Transient behavior of unstable nonlinear systems with applications to the Bénard and Taylor problems
    • S. KOGELMAN AND J. B. KELLER, Transient behavior of unstable nonlinear systems with applications to the Bénard and Taylor problems, SIAM J. Appl. Math., 20 (1971), pp. 619-637.
    • (1971) SIAM J. Appl. Math. , vol.20 , pp. 619-637
    • Kogelman, S.1    Keller, J.B.2
  • 26
    • 0001343327 scopus 로고
    • Current-voltage instabilities in superlattices
    • B. LAIKHTMAN, Current-voltage instabilities in superlattices, Phys. Rev. B, 44 (1991), pp. 11260-11265.
    • (1991) Phys. Rev. B , vol.44 , pp. 11260-11265
    • Laikhtman, B.1
  • 27
    • 0000088281 scopus 로고    scopus 로고
    • Explosive bifurcation to chaos in weakly-coupled semiconductor superlattices
    • K. J. LUO, H. T. GRAHN, K. H. PLOOG. AND L. L. BONILLA, Explosive bifurcation to chaos in weakly-coupled semiconductor superlattices, Phys. Rev. Lett., 81 (1998), pp. 1290-1293.
    • (1998) Phys. Rev. Lett. , vol.81 , pp. 1290-1293
    • Luo, K.J.1    Grahn, H.T.2    Ploog, K.H.3    Bonilla, L.L.4
  • 28
    • 0343313371 scopus 로고    scopus 로고
    • Controllable bifurcation processes in undoped, photoexcited GaAs/AlAs superlattices
    • M. Ding, W. L. Ditto, A. Osborne, L. M. Pecora, and M. L. Spanom, eds., World Scientific, Singapore
    • K. J. LUO, S. W. TEITSWORTH, M. ROGOZIA, H. T. GRAHN, L. L. BONILLA, J. GALÁN, AND N. OHTANI, Controllable bifurcation processes in undoped, photoexcited GaAs/AlAs superlattices, in Proceedings of the Fifth Experimental Chaos Conference, M. Ding, W. L. Ditto, A. Osborne, L. M. Pecora, and M. L. Spanom, eds., World Scientific, Singapore, 1999.
    • (1999) Proceedings of the Fifth Experimental Chaos Conference
    • Luo, K.J.1    Teitsworth, S.W.2    Rogozia, M.3    Grahn, H.T.4    Bonilla, L.L.5    Galán, J.6    Ohtani, N.7
  • 30
    • 0003400646 scopus 로고    scopus 로고
    • Photocurrent self-oscillations in a direct-gap GaAs-AlAs superlattice
    • N. OHTANI, M. HOSODA, AND H. T. GRAHN, Photocurrent self-oscillations in a direct-gap GaAs-AlAs superlattice, Appl. Phys. Lett., 70 (1997), pp. 375-378.
    • (1997) Appl. Phys. Lett. , vol.70 , pp. 375-378
    • Ohtani, N.1    Hosoda, M.2    Grahn, H.T.3
  • 33
    • 0001188854 scopus 로고    scopus 로고
    • Bifurcation analysis of stationary and oscillating domains in semiconductor superlattices with doping fluctuations
    • M. PATRA, G. SCHWARZ, AND E. SCHÖLL, Bifurcation analysis of stationary and oscillating domains in semiconductor superlattices with doping fluctuations, Phys. Rev. B, 57 (1997), pp. 1824-1833.
    • (1997) Phys. Rev. B , vol.57 , pp. 1824-1833
    • Patra, M.1    Schwarz, G.2    Schöll, E.3
  • 35
    • 0001364292 scopus 로고
    • Simple model for multistability and domain formation in semiconductor superlattices
    • erratum in 52 (1995), p. 11518
    • F. PRENGEL, A. WACKER, AND E. SCHÖLL, Simple model for multistability and domain formation in semiconductor superlattices, Phys. Rev. B, 50 (1994), pp. 1705-1712; erratum in 52 (1995), p. 11518.
    • (1994) Phys. Rev. B , vol.50 , pp. 1705-1712
    • Prengel, F.1    Wacker, A.2    Schöll, E.3
  • 36
    • 0001290310 scopus 로고    scopus 로고
    • Combined description for semiclassical and quantum transport in superlattices
    • S. ROTT, P. BINDER, N. LINDER, AND G. H. DÖHLER, Combined description for semiclassical and quantum transport in superlattices, Phys. Rev. B, 59 (1999), pp. 7334-7337.
    • (1999) Phys. Rev. B , vol.59 , pp. 7334-7337
    • Rott, S.1    Binder, P.2    Linder, N.3    Döhler, G.H.4
  • 37
    • 0001576641 scopus 로고    scopus 로고
    • Current self-oscillations, spikes and crossover between charge monopole and dipole waves in semiconductor superlattices
    • D. SÁNCHEZ, M. MOSCOSO, L. L. BONILLA, G. PLATERO, AND R. AGUADO, Current self-oscillations, spikes and crossover between charge monopole and dipole waves in semiconductor superlattices, Phys. Rev. B, 60 (1999), pp. 4489-4492.
    • (1999) Phys. Rev. B , vol.60 , pp. 4489-4492
    • Sánchez, D.1    Moscoso, M.2    Bonilla, L.L.3    Platero, G.4    Aguado, R.5
  • 39
    • 0000100760 scopus 로고
    • Negative differential conductance in GaAs/AlAs superlattices
    • A. SIBILLE, J. F. PALMIER, F. MOLLOT, H. WANG, AND J. C. ESNAULT, Negative differential conductance in GaAs/AlAs superlattices, Phys. Rev. B, 39 (1989), pp. 6272-6275.
    • (1989) Phys. Rev. B , vol.39 , pp. 6272-6275
    • Sibille, A.1    Palmier, J.F.2    Mollot, F.3    Wang, H.4    Esnault, J.C.5
  • 40
    • 0007143156 scopus 로고
    • Linear instability implies spurious periodic solutions
    • A. STUART, Linear instability implies spurious periodic solutions, IMA J. Numer. Anal., 9 (1989), pp. 465-486.
    • (1989) IMA J. Numer. Anal. , vol.9 , pp. 465-486
    • Stuart, A.1
  • 41
    • 84974266266 scopus 로고
    • Numerical analysis of dynamical systems
    • A. STUART, Numerical analysis of dynamical systems, Acta Numerica (1994), pp. 465-572.
    • (1994) Acta Numerica , pp. 465-572
    • Stuart, A.1
  • 42
    • 0000194549 scopus 로고    scopus 로고
    • Current self-oscillation induced by a transverse magnetic field in a doped GaAs/AlAs superlattice
    • B. SUN, J. WANG, W. GE, Y. WANG, D. JIANG, H. ZU, H. WANG, Y. DENG, AND S. FENG, Current self-oscillation induced by a transverse magnetic field in a doped GaAs/AlAs superlattice, Phys. Rev. B, 60 (1999), pp. 8866-8870.
    • (1999) Phys. Rev. B , vol.60 , pp. 8866-8870
    • Sun, B.1    Wang, J.2    Ge, W.3    Wang, Y.4    Jiang, D.5    Zu, H.6    Wang, H.7    Deng, Y.8    Feng, S.9
  • 43
    • 0000207972 scopus 로고    scopus 로고
    • Current-voltage characteristics and stability in resonant-tunneling n-doped semiconductor superlattices
    • A. WACKER, M. MOSCOSO, M. KINDELAN, AND L. L. BONILLA, Current-voltage characteristics and stability in resonant-tunneling n-doped semiconductor superlattices. Phys. Rev. B, 55 (1997), pp. 2466-2475.
    • (1997) Phys. Rev. B , vol.55 , pp. 2466-2475
    • Wacker, A.1    Moscoso, M.2    Kindelan, M.3    Bonilla, L.L.4
  • 44
    • 0000681312 scopus 로고    scopus 로고
    • Vertical transport and domain formation in multiple quantum wells
    • E. Schöll, ed., Chapman and Hill, London
    • A. WACKER, Vertical transport and domain formation in multiple quantum wells, in Theory and Transport Properties of Semiconductor Nanostructures, E. Schöll, ed., Chapman and Hill, London, 1997.
    • (1997) Theory and Transport Properties of Semiconductor Nanostructures
    • Wacker, A.1
  • 45
    • 0000246874 scopus 로고    scopus 로고
    • Quantum transport: The link between standard approaches in superlattices
    • A. WACKER AND A. P. JAUHO, Quantum transport: The link between standard approaches in superlattices, Phys. Rev. Lett., 80 (1998), pp. 369-372.
    • (1998) Phys. Rev. Lett. , vol.80 , pp. 369-372
    • Wacker, A.1    Jauho, A.P.2
  • 47
    • 3042829361 scopus 로고
    • Dynamics approach study of spurious steady-state solutions of nonlinear differential equations. 1. The dynamics of time discretization and its implications for algorithm development in computational fluid mechanics
    • H. C. YEE, P. K. SWEBY, AND D. F. GRIFFITHS, Dynamics approach study of spurious steady-state solutions of nonlinear differential equations. 1. The dynamics of time discretization and its implications for algorithm development in computational fluid mechanics, J. Comp. Phys., 97 (1991), pp. 249-310.
    • (1991) J. Comp. Phys. , vol.97 , pp. 249-310
    • Yee, H.C.1    Sweby, P.K.2    Griffiths, D.F.3
  • 48
    • 0001343638 scopus 로고    scopus 로고
    • Synchronization and chaos induced by resonant tunneling in GaAs/AlAs superlattices
    • Y. ZHANG, R. KLANN, K. H. PLOOG, AND H. T. GRAHN, Synchronization and chaos induced by resonant tunneling in GaAs/AlAs superlattices, Phys. Rev. Lett., 77 (1997) pp. 3001-3004.
    • (1997) Phys. Rev. Lett. , vol.77 , pp. 3001-3004
    • Zhang, Y.1    Klann, R.2    Ploog, K.H.3    Grahn, H.T.4
  • 49
    • 0342878321 scopus 로고    scopus 로고
    • Observation of a novel bistability in GaAs/AlAs superlattices
    • Y. ZHANG, R. KLANN, K. H. PLOOG, AND H. T. GRAHN, Observation of a novel bistability in GaAs/AlAs superlattices, Appl. Phys. Lett., 70 (1997), pp. 2825-2828.
    • (1997) Appl. Phys. Lett. , vol.70 , pp. 2825-2828
    • Zhang, Y.1    Klann, R.2    Ploog, K.H.3    Grahn, H.T.4


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