SCATTERING-THEORY, TRANSFER-MATRICES, AND ANDERSON LOCALIZATION
We discuss the scattering theory of quantum transport, in which properties of a disordered sample connected to ideal, multichannel leads are expressed in terms of its transfer matrix, T. Taking a continuum limit in which the sample is divided into many thin slices, the Lyapunov exponents, characteri...
| Những tác giả chính: | , |
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| Định dạng: | Journal article |
| Ngôn ngữ: | English |
| Được phát hành: |
1993
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| Tóm tắt: | We discuss the scattering theory of quantum transport, in which properties of a disordered sample connected to ideal, multichannel leads are expressed in terms of its transfer matrix, T. Taking a continuum limit in which the sample is divided into many thin slices, the Lyapunov exponents, characterizing the dependence of T on sample length, are calculated in terms of the probability distribution of the eigenvectors of TT°. It is shown that localization of these eigenvectors accompanies the disorder-induced metal-insulator transition, and an approximation scheme is developed to study the transition. © 1993 The American Physical Society. |
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