Threshold features in transport through a 1D constriction

Abstract

Suppression of electron current $\Delta I$ through a 1D channel of length $L$ connecting two Fermi liquid reservoirs is studied taking into account the Umklapp electron-electron interaction induced by a periodic potential. This interaction causes Hubbard gaps $E_H$ for $L\to \infty$. In the perturbative regime where $E_H\ll v_c/L$ ($v_c:$ charge velocity), and for small deviations $\delta n$ of the electron density from its commensurate values $-\Delta I/V$ can diverge with some exponent as voltage or temperature $V,T$ decreases above $E_c=max(v_c/L,v_c\delta n)$, while it goes to zero below $E_c$. This results in a nonmonotonous behavior of the conductance.

Final variant published in PRL, 79, 1714; minor corrections

Cited by in corpus (8)

• Conductivity of a clean one-dimensional wire
• Transport through a 1D Mott-Hubbard insulator of finite length
• Spin transport in a one-dimensional quantum wire
• Precursors of Mott insulator in modulated quantum wires
• Fractional charge in transport through a 1D correlated insulator of finite length
• Conductance of a Mott Quantum Wire
• Impurity pinning in transport through 1D Mott-Hubbard and spin gap insulators
• Sine-Gordon dynamics in spin transport