Linear-response theory of Coulomb drag in coupled electron systems

Karsten Flensberg; Ben Yu-Kuang Hu; Antti-Pekka Jauho; Jari Kinaret

doi:10.1103/PhysRevB.52.14761

Linear-response theory of Coulomb drag in coupled electron systems

Karsten Flensberg, Ben Yu-Kuang Hu, Antti-Pekka Jauho, Jari Kinaret

Faststoffysik

123 Citationer (Scopus)

Abstract

We report a fully microscopic theory for transconductivity, or, equivalently, momentum transfer rate, of Coulomb coupled electron systems. We use the Kubo linear-response formalism, and our main formal result expresses the transconductivity in terms of two fluctuation diagrams, which are topologically related, but not equivalent to, the Aslamazov-Larkin diagrams known from superconductivity. Results reported elsewhere are shown to be special cases of our general expression; specifically, we recover the Boltzmann equation result in the semiclassical clean limit, and the memory function results for dirty systems with constant impurity scattering rates. Furthermore, we show that for energy-dependent relaxation times, the final result is not expressible in terms of standard density-response functions. Other results include (i) at T=0, the frequency dependence of the transfer rate is found to be proportional to Ω and Ω2 for frequencies below and above the impurity scattering rate, respectively, and (ii) the weak localization correction to the transconductivity is given by δσWL21∝δσWL11+δσWL22.

Originalsprog	Engelsk
Tidsskrift	Physical Review B
Vol/bind	52
Udgave nummer	20
Sider (fra-til)	14761-14774
Antal sider	14
ISSN	2469-9950
DOI	https://doi.org/10.1103/PhysRevB.52.14761
Status	Udgivet - 15 nov. 1995

Adgang til dokumentet

10.1103/PhysRevB.52.14761

Citationsformater

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title = "Linear-response theory of Coulomb drag in coupled electron systems",

abstract = "We report a fully microscopic theory for transconductivity, or, equivalently, momentum transfer rate, of Coulomb coupled electron systems. We use the Kubo linear-response formalism, and our main formal result expresses the transconductivity in terms of two fluctuation diagrams, which are topologically related, but not equivalent to, the Aslamazov-Larkin diagrams known from superconductivity. Results reported elsewhere are shown to be special cases of our general expression; specifically, we recover the Boltzmann equation result in the semiclassical clean limit, and the memory function results for dirty systems with constant impurity scattering rates. Furthermore, we show that for energy-dependent relaxation times, the final result is not expressible in terms of standard density-response functions. Other results include (i) at T=0, the frequency dependence of the transfer rate is found to be proportional to Ω and Ω2 for frequencies below and above the impurity scattering rate, respectively, and (ii) the weak localization correction to the transconductivity is given by δσWL21∝δσWL11+δσWL22.",

author = "Karsten Flensberg and Hu, {Ben Yu-Kuang} and Antti-Pekka Jauho and Jari Kinaret",

year = "1995",

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doi = "10.1103/PhysRevB.52.14761",

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TY - JOUR

T1 - Linear-response theory of Coulomb drag in coupled electron systems

AU - Flensberg, Karsten

AU - Hu, Ben Yu-Kuang

AU - Jauho, Antti-Pekka

AU - Kinaret, Jari

PY - 1995/11/15

Y1 - 1995/11/15

N2 - We report a fully microscopic theory for transconductivity, or, equivalently, momentum transfer rate, of Coulomb coupled electron systems. We use the Kubo linear-response formalism, and our main formal result expresses the transconductivity in terms of two fluctuation diagrams, which are topologically related, but not equivalent to, the Aslamazov-Larkin diagrams known from superconductivity. Results reported elsewhere are shown to be special cases of our general expression; specifically, we recover the Boltzmann equation result in the semiclassical clean limit, and the memory function results for dirty systems with constant impurity scattering rates. Furthermore, we show that for energy-dependent relaxation times, the final result is not expressible in terms of standard density-response functions. Other results include (i) at T=0, the frequency dependence of the transfer rate is found to be proportional to Ω and Ω2 for frequencies below and above the impurity scattering rate, respectively, and (ii) the weak localization correction to the transconductivity is given by δσWL21∝δσWL11+δσWL22.

AB - We report a fully microscopic theory for transconductivity, or, equivalently, momentum transfer rate, of Coulomb coupled electron systems. We use the Kubo linear-response formalism, and our main formal result expresses the transconductivity in terms of two fluctuation diagrams, which are topologically related, but not equivalent to, the Aslamazov-Larkin diagrams known from superconductivity. Results reported elsewhere are shown to be special cases of our general expression; specifically, we recover the Boltzmann equation result in the semiclassical clean limit, and the memory function results for dirty systems with constant impurity scattering rates. Furthermore, we show that for energy-dependent relaxation times, the final result is not expressible in terms of standard density-response functions. Other results include (i) at T=0, the frequency dependence of the transfer rate is found to be proportional to Ω and Ω2 for frequencies below and above the impurity scattering rate, respectively, and (ii) the weak localization correction to the transconductivity is given by δσWL21∝δσWL11+δσWL22.

U2 - 10.1103/PhysRevB.52.14761

DO - 10.1103/PhysRevB.52.14761

M3 - Journal article

C2 - 9980814

SN - 2469-9950

VL - 52

SP - 14761

EP - 14774

JO - Physical Review B

JF - Physical Review B

IS - 20

ER -