Luttinger liquid superlattices

Abstract

We calculate the correlation functions and the DC conductivity of Luttinger liquid superlattices, modeled by a repeated pattern of interacting and free Luttinger liquids. In a specific realization, where the interacting subsystem is a Hubbard chain, the system exhibits a rich phase diagram with four different phases: two metals and two compressible insulators. In general, we find that the effective low energy description amalgamates features of both types of liquids in proportion to their spatial extent, suggesting the interesting possibility of `engineered' Luttinger liquids.

RevTeX, 5 pages, 3 figures

References in corpus (8)

• Landauer Conductance of Luttinger Liquids with Leads
• Transport in an inhomogeneous interacting one--dimensional system
• Dynamics of Inhomogeneous Tomonaga-Luttinger Liquid Wire
• Is there a renormalization of the 1D conductance in Luttinger Liquid model?
• Interacting electrons with spin in a one-dimensional wire connected to leads
• Inter-Edge interaction in the Quantum Hall Effect
• Metal-Insulator transition in one-dimensional Hubbard superlattices
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Cited by in corpus (8)

• Effects of nanoscale spatial inhomogeneity in strongly correlated systems
• Quantum anisotropic Heisenberg chains with superlattice structure: a DMRG study
• Magnetism, transport, and thermodynamics in two-dimensional half-filled Hubbard superlattices
• Modulation of charge-density waves by superlattice structures
• Competition between local potentials and attractive particle-particle interactions in superlattices
• Ground state phase diagram and magnetoconductance of a one-dimensional Hubbard superlattice at half-filling
• Luttinger liquid in superlattice structures: atomic gases, quantum dots and the classical Ising chain
• Phase diagram of the SU$(3)$ Fermi-Hubbard model with next-neighbor interactions