Threshold Features in Transport through a 1D Constriction

1997/01/31 by Vadim Ponomarenko, V. V. Ponomarenko, Naoto Nagaosa · 2 citations
Engineering · Physics and Astronomy · #Molecular Junctions and Nanostructures #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #cond-mat.str-el

paper · pdf · doi:10.1103/physrevlett.79.1714

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

openalex publication_date 1997/09/01 · arxiv created 1997/09/25 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Suppression of electron current \ensuremathΔI 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\ensuremath→\ensuremath∞. In the perturbative regime where E_H\ensuremath≪v_c/L ( v_c is the charge velocity), and for small deviations \ensuremathδn of the electron density from its commensurate values, \ensuremath-\ensuremathΔI/V can diverge with some exponent as voltage V or temperature T decreases above E_c\phantom\rule0ex0ex=\phantom\rule0ex0exmax(v_c/L,v_c\ensuremathδn), while it goes to zero below E_c. This results in a nonmonotonic behavior of the conductance.

Citations

• Tunneling through a barrier in a Tomonaga-Luttinger liquid connected to reservoirs

Cited by

• Shot noise in strongly correlated double quantum spin Hall edges
• Impurity pinning in transport through 1D Mott–Hubbard and spin gap insulators