Transport properties of one-dimensional interacting fermions in aperiodic potentials

Abstract

Motivated by the existence of metal-insulator transition in one-dimensional non-interacting fermions in quasiperiodic and pseudorandom potentials, we studied interacting spinless fermion models using exact many-body Lanczos diagonalization techniques. Our main focus was to understand the effect of the fermion-fermion interaction on the transport properties of aperiodic systems. We calculated the ground state energy and the Kohn charge stiffness Dc. Our numerical results indicate that there exists a region in the interaction strength parameter space where the system may behave differently from the metallic and insulating phases. This intermediate phase may be characterized by a power law scaling of the charge stiffness constant in contrast to the localized phase where Dc scales exponentially with the size of the system.

11 pages LaTex document with 5 eps figures. Uses revtex style files

References in corpus (3)

• Persistent Currents in 1D Disordered Rings of Interacting Electrons
• Does the attractive Hubbard model support larger persistent currents than the repulsive one ?
• Transport of one-dimensional interacting Fermions through a barrier

Cited by in corpus (13)

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• Interacting fermions in self-similar potentials
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• Critical properties of the many-particle (interacting) Aubry-André model ground-state localization-delocalization transition
• Localization and symmetry breaking in the quantum quasiperiodic Ising glass
• Interacting particles at a metal-insulator transition
• Stability of the superfluid state in a disordered 1D ultracold fermionic gas
• Testing the universality of the many-body metal-insulator transition by time evolution of a disordered one-dimensional ultracold fermionic gas
• Doped Mott insulator on Penrose tiling
• Interactions in Quasicrystals
• Persistent current and Drude weight in one-dimensional rings with substitution potentials