Semiclassical theory of chaotic quantum transport

K Richter; MMA Sieber

doi:10.1103/PhysRevLett.89.206801

Semiclassical theory of chaotic quantum transport

K Richter, MMA Sieber

Research output: Contribution to journal › Article (Academic Journal) › peer-review

180 Citations (Scopus)

Abstract

We present a refined semiclassical approach to the Landauer conductance and Kubo conductivity of clean chaotic mesoscopic systems. We demonstrate for systems with uniformly hyperbolic dynamics that including off-diagonal contributions to double sums over classical paths gives a weak-localization correction in quantitative agreement with results from random matrix theory. We further discuss the magnetic-field dependence. This semiclassical treatment accounts for current conservation.

Translated title of the contribution	Semiclassical theory of chaotic quantum transport
Original language	English
Article number	Art.No.206801
Pages (from-to)	1 - 4
Number of pages	4
Journal	Physical Review Letters
Volume	89 (20)
DOIs	https://doi.org/10.1103/PhysRevLett.89.206801
Publication status	Published - Nov 2002

Bibliographical note

Publisher: American Physical Society
Other identifier: IDS Number 610AL

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10.1103/PhysRevLett.89.206801

http://prola.aps.org/pdf/PRL/v89/i20/e206801

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title = "Semiclassical theory of chaotic quantum transport",

abstract = "We present a refined semiclassical approach to the Landauer conductance and Kubo conductivity of clean chaotic mesoscopic systems. We demonstrate for systems with uniformly hyperbolic dynamics that including off-diagonal contributions to double sums over classical paths gives a weak-localization correction in quantitative agreement with results from random matrix theory. We further discuss the magnetic-field dependence. This semiclassical treatment accounts for current conservation.",

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AU - Sieber, MMA

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N2 - We present a refined semiclassical approach to the Landauer conductance and Kubo conductivity of clean chaotic mesoscopic systems. We demonstrate for systems with uniformly hyperbolic dynamics that including off-diagonal contributions to double sums over classical paths gives a weak-localization correction in quantitative agreement with results from random matrix theory. We further discuss the magnetic-field dependence. This semiclassical treatment accounts for current conservation.

AB - We present a refined semiclassical approach to the Landauer conductance and Kubo conductivity of clean chaotic mesoscopic systems. We demonstrate for systems with uniformly hyperbolic dynamics that including off-diagonal contributions to double sums over classical paths gives a weak-localization correction in quantitative agreement with results from random matrix theory. We further discuss the magnetic-field dependence. This semiclassical treatment accounts for current conservation.

U2 - 10.1103/PhysRevLett.89.206801

DO - 10.1103/PhysRevLett.89.206801

M3 - Article (Academic Journal)

SN - 1079-7114

VL - 89 (20)

SP - 1

EP - 4

JO - Physical Review Letters

JF - Physical Review Letters

M1 - Art.No.206801

ER -

Semiclassical theory of chaotic quantum transport

Abstract

Bibliographical note

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