Conductance of a Mott Quantum Wire

Abstract

We consider transport through a one-dimensional conductor subject to an external periodic potential and connected to non-interacting leads (a "Mott quantum wire"). For the case of a strong periodic potential, the conductance is shown to jump from zero, for the chemical potential lying within the Mott-Hubbard gap, to the non-interacting value of 2e^2/h, as soon as the chemical potential crosses the gap edge. This behavior is strikingly different from that of an optical conductivity, which varies continuously with the carrier concentration. For the case of a weak potential, the perturbative correction to the conductance due to Umklapp scattering is absent away from half-filling.

4 pages, RevTex, 1 ps figure included; published version

References in corpus (1)

• Threshold features in transport through a 1D constriction

Cited by in corpus (7)

• Quasi-particle description for the transport through a small interacting system
• Transport through a finite Hubbard chain connected to reservoirs
• Rectification of spin currents in spin chains
• Transport through a 1D Mott-Hubbard insulator of finite length
• Critical conductance of a one-dimensional doped Mott insulator
• Disturbance spreading in incommensurate and quasiperiodic systems
• Extremal regime for one-dimensional Mott variable-range hopping