Full Counting Statistics of a Luttinger Liquid Conductor

被引：37

作者：

Gutman, D. B. ^{[1
]}

Gefen, Yuval ^{[2
]}

Mirlin, A. D. ^{[3
,4
,5
]}

机构：

[1] Bar Ilan Univ, Dept Phys, IL-52900 Ramat Gan, Israel

[2] Weizmann Inst Sci, Dept Condensed Matter Phys, IL-76100 Rehovot, Israel

[3] Karlsruhe Inst Technol, Inst Nanotechnol, D-76021 Karlsruhe, Germany

[4] Karlsruhe Inst Technol, Inst Theorie Kondensierten Materie, D-76128 Karlsruhe, Germany

[5] Petersburg Nucl Phys Inst, St Petersburg 188300, Russia

来源：

PHYSICAL REVIEW LETTERS | 2010年 / 105卷 / 25期

关键词：

SHOT-NOISE; COHERENT STATES; CHARGE-TRANSFER; QUANTUM; TRANSPORT; ELECTRONS; NONEQUILIBRIUM; MODEL;

D O I：

10.1103/PhysRevLett.105.256802

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Nonequilibrium bosonization technique is used to study current fluctuations of interacting electrons in a single-channel quantum wire representing a Luttinger liquid (LL) conductor. An exact expression for the time resolved full counting statistics of the transmitted charge is derived. It is given by the Fredholm determinant of the counting operator with a time-dependent scattering phase. The result has a form of counting statistics of noninteracting particles with fractional charges, induced by scattering off the boundaries between the LL wire and the noninteracting leads.

引用

页数：4

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