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

VL - 52

SP - 14761

EP - 14774

JO - Physical Review B

JF - Physical Review B

SN - 2469-9950

IS - 20

ER -