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Publications: 2.1 Nonlinear phenomena in microelectronic semiconductor devices

  1. R. Escobedo and L.L. Bonilla
    "Numerical methods for a quantum drift-diffusion equation in semiconductor physics"
    Journal of Mathematical Chemistry 40, 3-13 (2006).  Pdf

  2. R. Escobedo, L.L. Bonilla and F.J. Higuera
    "Free boundary problems describing two-dimensional pulse recycling and motion in semiconductors"
    Progress in Industrial Mathematics at ECMI 2002. Edited by A. Buikis, R. Ciegis and A. D. Fitt. Mathematics in Industry 5. Pages 147-152 (Springer, Berlin, 2004).

  3. R. Escobedo and L.L. Bonilla
    "Wave dynamics in two-dimensional samples of n-GaAs with point contacts"
    Chaos, Solitons and Fractals 17, 283-288 (2003).

  4. M. Kindelan and L.L. Bonilla
    "Periodic recycling and motion of wavefronts in a model of the Gunn effect with saturating current characteristics"
    Progress in Industrial Mathematics at ECMI 2000. Edited by A.M. Anile, V. Capasso and A. Greco. Mathematics in Industry 1. Pages 386-398 (Springer, Berlin, 2002).

  5. L.L. Bonilla and R. Escobedo
    "Two-dimensional oscillatory patterns in semiconductors with point contacts"
    Physical Review E 64, 036203/1-4 (2001).  Pdf

  6. L.L. Bonilla, R. Escobedo and F.J. Higuera
    "Axisymmetric pulse recycling and motion in bulk semiconductors"
    Physical Review E 65, 016607/1-8 (2001) [arXiv:cond-mat/0201314].  Pdf

  7. L.L. Bonilla, R. Escobedo and F.J. Higuera
    "Axisymmetric Gunn effect"
    Proceedings of the 25th International Conference on the Physics of Semiconductors. Edited by N. Miura and T. Ando. Pages 135-136 (Springer, Berlin, 2001).

  8. I.R. Cantalapiedra, M.J. Bergmann, L.L. Bonilla and S.W. Teitsworth
    "Chaotic motion of space charge waves in semiconductors under time-independent voltage bias"
    Physical Review E 63, 056216/1-7 (2001) [arXiv:cond-mat/0011162].  Pdf

  9. L.L. Bonilla, P.J. Hernando, M. Kindelan and F. Piazza
    "Determination of EL2 capture and emission coefficients in semi-insulating n-GaAs"
    Applied Physics Letters 74, 988-990 (1999).

  10. L.L. Bonilla, M. Kindelan and P.J. Hernando
    "Photorefractive Gunn effect"
    Physical Review B 58, 7046-7050 (1998) [arXiv:cond-mat/9801256].  Pdf

  11. L.L. Bonilla, I.R. Cantalapiedra, G. Gomila and J.M. Rubí
    "Asymptotic analysis of the Gunn effect with realistic boundary conditions"
    Physical Review E 56, 1500-1510 (1997) [arXiv:cond-mat/9705264].  Pdf

  12. G. Gomila, J.M. Rubí, I.R. Cantalapiedra and L.L. Bonilla
    "Stationary states and phase diagram for a model of the Gunn effect under realistic boundary conditions"
    Physical Review E 56, 1490-1499 (1997) [arXiv:cond-mat/9705262].  Pdf

  13. M.J. Bergmann, S.W. Teitsworth, L.L. Bonilla and I.R. Cantalapiedra
    "Solitary-wave conduction in p-type Ge under time-dependent voltage bias"
    Physical Review B 53, 1327-1335 (1996).

  14. M.J. Bergmann, S.W. Teitsworth and L.L. Bonilla
    "Nucleation of space-charge waves in an extrinsic semiconductor with nonuniform impurity profile"
    Proceedings of the 9th Int. Conf. on Hot Carriers in Semiconductors, Chicago, 31 July-4 August, 1995. Edited by K. Hess, J.P. Leburton and U. Ravaioli. Pages 505-507 (Plenum Press, N.Y., 1996).

  15. L.L. Bonilla
    "Some problems of charge transport in semiconductors"
    Current Trends in Applied Mathematics. Edited by M.A. Herrero and E. Zuazua. Pages 11-72 (Editorial Complutense, Madrid, 1996).

  16. M. Kindelan, F.J. Higuera and L.L. Bonilla
    "Onset of the Gunn effect in semiconductors: bifurcation analysis and numerical simulations"
    Z. Angew. Math. Mech. (ZAMM) 76 (Suppl. 2), 575-576 (1996).

  17. L.L. Bonilla
    "Gunn instabilities in extrinsic semiconductors"
    Mathematical Problems in Semiconductor Physics. Edited by P.A. Marcati, P.A. Markowich and R. Natalini. Pitman Res. Notes in Math. 340. Pages 118-131 (Longman, Essex, 1995).

  18. L.L. Bonilla and F.J. Higuera
    "The Onset and End of the Gunn Effectin Extrinsic Semiconductors"
    SIAM Journal on Applied Mathematics 55, 1625-1649 (1995).  Pdf

  19. S.W. Teitsworth, M.J. Bergmann and L.L. Bonilla
    "Space charge instabilities and nonlinear waves in extrinsic semiconductors"
    Nonlinear Dynamics and Pattern Formation in Semiconductors and Devices. Edited by F.-J. Niedernostheide. Pages 44-69 (Springer, Berlin, 1995).

  20. L.L. Bonilla, I.R. Cantalapiedra, M.J. Bergmann and S.W. Teitsworth
    "Onset of current oscillations in extrinsic semiconductors"
    Semiconductor Science and Technology 9, 599-602 (1994).

  21. L.L. Bonilla, F. Higuera and S. Venakides
    "The Gunn effect: Instability of the steady state and stability of the solitary wave in long extrinsic semiconductors"
    SIAM Journal on Applied Mathematics 54, 1521-1541 (1994).  Pdf

  22. I.R. Cantalapiedra, L.L. Bonilla, M.J. Bergmann and S.W. Teitsworth
    "Solitary wave dynamics in extrinsic semiconductors under dc voltage bias"
    Physical Review B 48, 12278-12281 (1993).  Pdf

  23. L.L. Bonilla
    "Theory of solitary waves and spontaneous current instabilities in dc voltage biased extrinsic semiconductors"
    Physica D 55, 182-196 (1992).

  24. L.L. Bonilla
    "Small signal analysis of spontaneous current instabilities in extrinsic semiconductors with trapping: application to p-type ultrapure Germanium"
    Physical Review B 45, 11642-11654 (1992).  Pdf

  25. F.J. Higuera and L.L. Bonilla
    "Gunn instability in finite samples of GaAs. II Oscillatory states in long samples"
    Physica D 57, 161-184 (1992).
    Addendum Physica D 63, 437 (1993).

  26. L.L. Bonilla
    "Solitary waves in semiconductors with finite geometry and the Gunn effect"
    SIAM Journal on Applied Mathematics 51, 727-747 (1991).

  27. L.L. Bonilla and F.J. Higuera
    "Gunn instability in finite samples of GaAs. I Stationary states, stability and boundary conditions"
    Physica D 52, 458-476 (1991).  Pdf

  28. L.L. Bonilla and S.W. Teitsworth
    "Theory of periodic and solitary space charge waves in extrinsic semiconductors"
    Physica D 50, 545-559 (1991).

  29. L.L. Bonilla and J.M. Vega
    "On the stability of wavefronts and solitary space charge waves in extrinsic semiconductors under current bias"
    Physics Letters A 156, 179-182 (1991).

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