Luttinger liquid in superlattice structures: atomic gases, quantum dots and the classical Ising chain
arXiv:1005.3206 · doi:10.1088/0031-8949/83/01/015016
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.
arXiv comment7 figures
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