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EFFECTS OF SPIN-ORBIT INTERACTIONS IN DISORDERED CONDUCTORS - A RANDOM-MATRIX APPROACH

Abstract:
A description in terms of random matrices is used to study the effects of strong spin-orbit coupling in disordered conductors. It is shown that the ensemble of transfer matrices can be conveniently parametrized using quaternions. A diffusion equation is derived for the evolution, with sample length, of the transfer-matrix distribution. In the insulating regime, a uniform density of Lyapunov exponents is obtained, and the expected universal multiplication factors in the localization length are derived when time-reversal symmetry is broken. Weak antilocalization, backscattering depletion, and universal conductance fluctuations are obtained in the metallic regime. © 1992 The American Physical Society.
Publication status:
Published

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Publisher copy:
10.1103/PhysRevB.46.14985

Authors


More by this author
Institution:
University of Oxford
Division:
MPLS
Department:
Physics
Sub department:
Theoretical Physics
Role:
Author


Journal:
Physical Review B More from this journal
Volume:
46
Issue:
23
Pages:
14985-14994
Publication date:
1992-12-15
DOI:
EISSN:
1095-3795
ISSN:
0163-1829


Pubs id:
pubs:3528
UUID:
uuid:d85fe275-5c37-4214-bed9-e626453645a6
Local pid:
pubs:3528
Source identifiers:
3528
Deposit date:
2012-12-19

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