Luttinger liquid in superlattice structures: atomic gases, quantum dots and the classical Ising chain

TL;DR

This paper investigates the effects of alternating tunneling parameters on the properties of a Luttinger liquid in superlattice structures, using bosonization and analyzing implications for cold gases, quantum dots, and classical Ising chains.

Contribution

It introduces a model for Luttinger liquids in superlattices with alternating tunneling parameters and explores their physical properties and potential experimental measurements.

Findings

Spin-charge separation varies with tunneling parameter difference

Transport properties are affected by tunneling parameter differences

Classical Ising chain correlator decreases as tunneling difference increases

Abstract

We study physical properties of a Luttinger liquid in a superlattice which is characterized by alternating two tunneling parameters. Employing the Bosonization approach, we describe the corresponding Hubbard model by the equivalent Tomonoga-Luttinger model. We analyze the spin-charge separation and transport property as the difference between the two tunneling parameter increases. We suggest that cold Fermi gases trapped in a bichromatic optical lattice and coupled quantum dots offer the opportunity to measure these effects in a convenient manner. We also study the classical Ising chain with two tunneling parameters. We found that the classical two-point correlator decreases as the difference between the two tunneling parameter increases.