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arXiv · 1005.3206

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

Aranya B Bhattacherjee·Pradip Jha·Tarun Kumar·ManMohan
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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.

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Aranya B Bhattacherjee, Pradip Jha, Tarun Kumar, ManMohan. 2010-05-18. Luttinger liquid in superlattice structures: atomic gases, quantum dots and the classical Ising chain. https://doi.org/10.1088/0031-8949/83/01/015016

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