The threshold effects in one-dimensional strongly-interacting systems out of equilibrium

Abstract

In this work we investigate the phenomena associated with the new thresholds in the spectrum of excitations arising when different one-dimensional strongly interacting systems are voltage biased and weakly coupled by tunneling. We develop the perturbation theory with respect to tunneling and derive an asymptotic behavior of physical quantities close to threshold energies. We reproduce earlier results for the electron relaxation at the edge of an integer quantum Hall system and for the non-equilibrium Fermi edge singularity phenomenon. In contrast to the previous works, our analysis does not rely on the free-fermionic character of local tunneling, therefore we are able to extend our theory to wider class of systems, without well-defined electron excitations, such as spinless Luttinger liquids and chiral quantum Hall edge states at fractional filling factors.

9 pages

References in corpus (7)

• Universal theory of nonlinear Luttinger liquids
• Probing spin-charge separation in a Tomonaga-Luttinger liquid
• Dephasing in the electronic Mach-Zehnder interferometer at filling factor 2
• Tuning Energy Relaxation along Quantum Hall Channels
• Resonant dephasing in the electronic Mach-Zehnder interferometer
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Cited by in corpus (2)

• Quantum ammeter
• Non-uniform heat redistribution among multiple channels in the integer quantum Hall regime