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

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

2010-05-18

arxiv.org/abs/1005.3206v1

Physica Scripta, 83, 015016 (2011)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

7 figures

Scientific paper

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.

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