Equilibration of a spinless Luttinger liquid

Details Equilibration of a spinless Luttinger liquid Equilibration of a spinless Luttinger liquid

2011-07-20

arxiv.org/abs/1107.4116v1

Phys. Rev. B 85, 041102(R) (2012)

Physics

Condensed Matter

Strongly Correlated Electrons

Scientific paper

10.1103/PhysRevB.85.041102

We study how a Luttinger liquid of spinless particles in one dimension approaches thermal equilibrium. Full equilibration requires processes of backscattering of excitations which occur at energies of order of the bandwidth. Such processes are not accounted for by the Luttinger liquid theory. We treat the high-energy excitations as mobile impurities and derive an expression for the equilibration rate in terms of their spectrum. Our results apply at any interaction strength.

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