Decay of fermionic quasiparticles in one-dimensional quantum liquids

Abstract

The low-energy properties of one-dimensional quantum liquids are commonly described in terms of the Tomonaga-Luttinger liquid theory, in which the elementary excitations are free bosons. To this approximation the theory can be alternatively recast in terms of free fermions. In both approaches, small perturbations give rise to finite lifetimes of excitations. We evaluate the decay rate of fermionic excitations and show that it scales as the eighth power of energy, in contrast to the much faster decay of bosonic excitations. Our results can be tested experimentally by measuring the broadening of power-law features in the density structure factor or spectral functions.

References in corpus (9)

• Spin-charge separation and localization in one-dimension
• Fermi-Luttinger liquid: Spectral function of interacting one-dimensional fermions
• Spectral function of spinless fermions on a one-dimensional lattice
• Exact exponents of edge singularities in dynamic correlation functions of 1D Bose gas
• Coulomb drag by small momentum transfer between quantum wires
• Fermionic Quasiparticle Representation of Tomonaga-Luttinger Hamiltonian
• Thermalization of acoustic excitations in a strongly interacting one-dimensional quantum liquid
• Relaxation of weakly interacting electrons in one dimension
• Equilibration of a one-dimensional quantum liquid

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