Complutense University Library

Asymptotics of the trap-dominated Gunn effect in p-type Ge

Bonilla , L.L. and Hernando, Pedro J. and Herrero, Miguel A. and Kindelan, M. and Velázquez, J.J. L. (1997) Asymptotics of the trap-dominated Gunn effect in p-type Ge. Physica D-Nonlinear Phenomena, 108 (1-2). pp. 168-190. ISSN 0167-2789

[img] PDF
Restricted to Repository staff only until 31 December 2020.

1MB

Official URL: http://www.sciencedirect.com/science/article/pii/S016727899782012X

View download statistics for this eprint

==>>> Export to other formats

Abstract

We present an asymptotic analysis of the Gunn effect in a drift-diffusion model - including electric-field-dependent generation-recombination processes - for long samples of strongly compensated p-type Ge at low temperature and under d.c. voltage bias. During each Gunn oscillation, there are different stages corresponding to the generation, motion and annihilation of solitary waves. Each stage may be described by one evolution equation for only one degree of freedom (the current density), except for the generation of each new wave. The wave generation is a faster process that may be described by solving a semiinfinite canonical problem. As a result of our study we have found that (depending on the boundary condition) one or several solitary waves may be shed during each period of the oscillation. Examples of numerical simulations validating our analysis are included.


Item Type:Article
Uncontrolled Keywords:Gunn effect; wavefront dynamics; wave shedding at boundaries; spontaneous current instabilities; space-charge domains; dc voltage bias; extrinsic semiconductors; solitary-wave; spatial measurements; chaotic dynamics; ultrapure ge; germanium; photoconductors
Subjects:Sciences > Physics > Electromagnetism
ID Code:16972
References:

S.W. Teitsworth, R.M. Westervelt and E.E. Hailer, Phys. Rev. Lett. 51 (1983) 825.

A.M. Kahn, D.J. Mar and R.M. Westervelt, Phys. Rev. B 43 (1991) 9740.

J.B. Gunn, IBM .I. Res. Dev. 8 (1964) 141.

A.M. Kahn, D.J. Mar and R.M. Westervelt, Phys. Rev. B 46 (1992) 7469.

A.M. Kahn, D.J. Mar and R.M. Westervelt, Phys. Rev. B 45 (1992) 8342.

A.M. Kahn, D.J. Mar and R.M. Westervelt, Phys. Rev. Lett. 46 (1992) 369.

S.W. Teitsworth and R.M. Westervelt, Phys. Rev. Lett. 53 (1984) 2587.

R.M. Westervelt and S.W. Teitsworth, J. Appl. Phys. 57 (1985) 5457.

L.L. Bonilla, Phys. Rev. B 45 (1992) 11642.

N.M. Haegel and A.M. White, Infrared Phys. 29 (1989) 915.

H. Kroemer, IEEE Trans. ED- 15 ( 1968) 8 19.

L.L. Bonilla, I.R. Cantalapiedra, M.J. Bergmann and SW. Teitsworth, Semicond. Sci. Technol. 9 (1994) 599.

V.V. Mitin, Appl. Phys. A 39 (1986) 123.

E. Schiill, Solid-State Electron. 31 (1988) 539.

E. Schiill, Appl. Phys. A 48 (1989) 95.

T. Kuhn et al., Phys. Rev. B 48 (1993) 1478.

I.R. Cantalapiedra, L.L. Bonilla, M.J. Bergmann and S.W. Teitsworth, Phys. Rev. B 48 (1993) 12278.

M.J. Bergmann, S.W. Teitsworth, L.L. Bonilla and I.R. Cantalapiedra, Phys. Rev. B 53 (1996) 1327.

S.W. Teitsworth, M.J. Bergmann and L.L. Bonilla, in: Non-linear Dynamics and Pattern Formation in Semiconductors and Devices, Springer Proceedings in Physics, ed. F.-J. Niedemostheide, Vol. 79 (Springer, Berlin, 1995) pp. 46-69.

L.L. Bonilla and S.W. Teitsworth, Physica D 50 (1991) 545.

L.L. Bonilla, Physica D 55 (1992) 182.

D. Henry, Geometric theory of semilinear equations, Lecture Notes in Mathematics, Vol. 840 (Springer, Berlin, 1981).

L.L. Bonilla, F.J. Higuera and S. Venakides, SIAM J. Appl. Math. 54 (1994) 1521.

F.J. Higuera and L.L. Bonilla, Physica D 57 (1992) 161.

L.L. Bonilla and I.R. Cantalapiedra, preprint (1996).

Deposited On:05 Nov 2012 11:30
Last Modified:07 Feb 2014 09:39

Repository Staff Only: item control page