Quasiclassical theory of electronic transport in mesoscopic systems: Luttinger liquids revisited

Eckern, Ulrich; Schwab, Peter

doi:10.1002/pssb.200674610

Cited by 5 publications

(1 citation statement)

References 36 publications

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“…This transformation is similar to that in Ref. [26,41], but different in that the equation of motion for the phaseθ in the fieldφ will incorporate disorder, see Eq. (51) below.…”

Section: Energy Relaxationmentioning

confidence: 79%

Relaxation processes in a disordered Luttinger liquid

et al. 2008

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The Luttinger liquid model, which describes interacting electrons in a single-channel quantum wire, is completely integrable in the absence of disorder and as such does not exhibit any relaxation to equilibrium. We consider relaxation processes induced by inelastic electron-electron interactions in a disordered Luttinger liquid, focusing on the equilibration rate and its essential differences from the electron-electron scattering rate as well as the rate of phase relaxation. In the first part of the paper, we review the basic concepts in the disordered Luttinger liquid at equilibrium. These include the elastic renormalization, dephasing, and interference-induced localization. In the second part, we formulate a conceptually important framework for systematically studying the nonequilibrium properties of the strongly correlated (non-Fermi) Luttinger liquid. We derive a coupled set of kinetic equations for the fermionic and bosonic distribution functions that describe the evolution of the nonequilibrium Luttinger liquid. Remarkably, the energy equilibration rate in the conducting disordered quantum wire (at sufficiently high temperature, when the localization effects are suppressed by dephasing) is shown to be of the order of the rate of elastic scattering off disorder, independent of the interaction constant and temperature.

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“…This transformation is similar to that in Ref. [26,41], but different in that the equation of motion for the phaseθ in the fieldφ will incorporate disorder, see Eq. (51) below.…”

Section: Energy Relaxationmentioning

confidence: 79%