2001/06/30 by E. G. Mishchenko, A. V. Andreev, L. I. Glazman · 1 citation
Materials Science · Physics and Astronomy · #Carbon Nanotubes in Composites #Graphite, nuclear technology, radiation studies #Lightning and Electromagnetic Phenomena #cond-mat.mes-hall
paper · pdf · doi:10.1103/physrevlett.87.246801
published as Phys. Rev. Lett. 87, 246801 (2001). · 5 pages, 1 figure
arxiv created 2001/11/17 · openalex publication_date 2001/11/19 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We calculate the low-energy tunneling density of states \ensuremathν(\ensuremathε,T) of an N-channel disordered wire, taking into account the electron-electron interaction nonperturbatively. The finite scattering rate 1/\ensuremathτ results in a crossover from the Luttinger liquid behavior at higher energies, \ensuremathν\ensuremath∝\ensuremathε^\ensuremathα, to the exponential dependence \ensuremathν(\ensuremathε,T\phantom\rule0ex0ex=\phantom\rule0ex0ex0)\ensuremath∝exp(\ensuremath-\ensuremathε*/\ensuremathε) at low energies, where \ensuremathε*\ensuremath∝1/(N\ensuremathτ). At finite temperature T, the tunneling density of states depends on the energy through the dimensionless variable \ensuremathε/√\ensuremathε*T. At the Fermi level \ensuremathν(\ensuremathε\phantom\rule0ex0ex=\phantom\rule0ex0ex0,T)\ensuremath∝exp(\ensuremath-√\ensuremathε*/T).