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Volumn 80, Issue 11, 2009, Pages

Nonequilibrium kinetics of a disordered Luttinger liquid

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EID: 70350586567     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.80.113403     Document Type: Article
Times cited : (16)

References (35)
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    • In contrast to Ref., and also Refs., we construct our theory without the so-called "ghost modes."
    • In contrast to Ref., and also Refs., we construct our theory without the so-called "ghost modes."
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    • The scattering rate γ includes the LL renormalization (Ref.) due to virtual (elastic) processes on energy scales between max { T,eU } and the ultraviolet cutoff.
    • The scattering rate γ includes the LL renormalization (Ref.) due to virtual (elastic) processes on energy scales between max { T,eU } and the ultraviolet cutoff.
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    • A complementary approach has been formulated for spinless electrons in Ref. in terms of "undressed" fermions, which gives the same result for K (ω).
    • A complementary approach has been formulated for spinless electrons in Ref. in terms of "undressed" fermions, which gives the same result for K (ω).
  • 32
  • 33
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    • In a finite-length LL with, e.g., α (x) ∝θ (x) θ (L-x), plasmons are backscattered off the noninteracting contacts. Inhomogeneities in the interaction strength induce the inelastic electron scattering (Ref.) as well. This type of inelastic relaxation follows directly from the kinetic equations [Eqs. 3 10] with the kernels [Eqs. 6 7] taken for the space-dependent α (x). In a different framework-by directly calculating the Keldysh Green's function-the relaxation of the electron distribution in a finite LL has also been found in Ref.. This mechanism of evolution of fε combines with the impurity-induced equilibration.
    • In a finite-length LL with, e.g., α (x) ∝θ (x) θ (L-x), plasmons are backscattered off the noninteracting contacts. Inhomogeneities in the interaction strength induce the inelastic electron scattering (Ref.) as well. This type of inelastic relaxation follows directly from the kinetic equations [Eqs. 3 10] with the kernels [Eqs. 6 7] taken for the space-dependent α (x). In a different framework-by directly calculating the Keldysh Green's function-the relaxation of the electron distribution in a finite LL has also been found in Ref.. This mechanism of evolution of fε combines with the impurity-induced equilibration.


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