A new approach to non-linear transport for an electron-impurity system in a static electric field

作者: X L Lei , C S Ting

DOI: 10.1088/0022-3719/18/1/015

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摘要: A new approximate approach to steady-state non-linear electronic transport in a static electric field is developed for the system composed of interacting electrons with randomly distributed impurities. Starting from separation centre-of-mass variables relative authors obtain density matrix describing motion first order impurity potential, but arbitrarily strong field. From this force-balance equation steady state derived, which can be expressed by density-density correlation function and thus easily calculated diagrammatically. The formulae obtained are applied calculation resistivity degenerate case Maxwell-Boltzmann case, showing simplicity effectiveness method.

参考文章(11)
N. Pottier, D. Calecki, Gauge treatment of the intra-collisional-field-effect in electron transport theory Physica A: Statistical Mechanics and its Applications. ,vol. 110, pp. 471- 488 ,(1982) , 10.1016/0378-4371(82)90063-2
C.S. Ting, X.L. Lei, THEORY OF NONLINEAR TRANSPORT FOR ELECTRON-IMPURITY SYSTEMS IN A STRONG ELECTRIC-FIELD Solid State Communications. ,vol. 51, pp. 553- 556 ,(1984) , 10.1016/0038-1098(84)91032-9
W. Kohn, J. M. Luttinger, Quantum Theory of Electrical Transport Phenomena Physical Review. ,vol. 108, pp. 590- 611 ,(1957) , 10.1103/PHYSREV.108.590
J.R. Barker, Field-dependence of carrier screening in non-linear transport theory Solid State Communications. ,vol. 32, pp. 1013- 1016 ,(1979) , 10.1016/0038-1098(79)90818-4
C. S. Ting, S. C. Ying, J. J. Quinn, Theory of dynamical conductivity of interacting electrons Physical Review B. ,vol. 14, pp. 4439- 4446 ,(1976) , 10.1103/PHYSREVB.14.4439
J R Barker, Quantum transport theory of high-field conduction in semiconductors Journal of Physics C: Solid State Physics. ,vol. 6, pp. 2663- 2684 ,(1973) , 10.1088/0022-3719/6/17/009
M. A. Littlejohn, J. R. Hauser, T. H. Glisson, Monte Carlo calculation of the velocity‐field relationship for gallium nitride Applied Physics Letters. ,vol. 26, pp. 625- 627 ,(1975) , 10.1063/1.88002
VP Seminozhenko, None, Kinetics of interacting quasiparticles in strong external fields Physics Reports. ,vol. 91, pp. 103- 182 ,(1982) , 10.1016/0370-1573(82)90049-7
V.P. Kalashnikov, Nonequilibrium statistical operator in hot-electron theory I Physica D: Nonlinear Phenomena. ,vol. 48, pp. 93- 111 ,(1970) , 10.1016/0031-8914(70)90162-X