Luttinger liquid superlattices: realization of gapless insulating phases

Abstract

We investigate Luttinger Liquid superlattices, a periodic structure composed of two kinds of one-dimensional systems of interacting electrons. We calculate several properties of the low-energy sector: the effective charge and spin velocities, the compressibility, various correlation functions, the Landauer conductance and the Drude weight. The low-energy properties are subsumed into effective parameters, much like homogeneous one-dimensional systems. A generic result is the weighted average nature of these parameters, in proportion to the spatial extent of the underlying subunits, pointing to the possibility of ``engineered'' structures. As a specific realization, we consider a one-dimensional Hubbard superlattice, which consists of a periodic arrangement of two long Hubbard chains with different coupling constants and different hopping amplitudes. This system exhibits a rich phase diagram with several phases, both metallic and insulating. We have found that gapless insulating phases are present over a wide range of parameters.

arXiv comment16 pages, 15 figures, RevTeX4

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Cited by in corpus (13)

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• Mott-Hubbard metal-insulator transition at non-integer filling
• Effects of nanoscale spatial inhomogeneity in strongly correlated systems
• Compressible Ferrimagnetism in the depleted Periodic Anderson Model
• Charge-density waves in one-dimensional Hubbard superlattices
• Multiperiodic magnetic structures in Hubbard superlattices
• Quantum anisotropic Heisenberg chains with superlattice structure: a DMRG study
• Modulation of charge-density waves by superlattice structures
• Strongly enhanced superconductivity in coupled t-J segments
• Ground state phase diagram and magnetoconductance of a one-dimensional Hubbard superlattice at half-filling
• Study of the charge correlation function in one-dimensional Hubbard heterostructures
• Enhanced superconductivity and various edge modes in modulated $t$-$J$ chains
• Luttinger liquid in superlattice structures: atomic gases, quantum dots and the classical Ising chain