Threshold features in transport through a 1D constriction

Details Threshold features in transport through a 1D constriction Threshold features in transport through a 1D constriction

1997-01-27

arxiv.org/abs/cond-mat/9701192v2

Physics

Condensed Matter

Strongly Correlated Electrons

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

Scientific paper

10.1103/PhysRevLett.79.1714

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.

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