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

作者：Bhattacherjee Aranya B^*; Jha Pradip; Kumar Tarun; Mohan Man

来源：Physica Scripta, 2011, 83(1): 015016.

DOI：10.1088/0031-8949/83/01/015016

We study the physical properties of a Luttinger liquid in a superlattice that is characterized by alternating two tunneling parameters. Using the bosonization approach, we describe the corresponding Hubbard model by the equivalent Tomonaga-Luttinger model. We analyze the spin-charge separation and transport properties of the superlattice system. 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 find that the classical two-point correlator decreases as the difference between the two tunneling parameters increases.

• 出版日期2011-1