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Phys. Rev. Lett. 87, 246801 (2001) [4 pages]

Zero-Bias Anomaly in Disordered Wires

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E. G. Mishchenko1,2,3, A. V. Andreev1,2, and L. I. Glazman4
1Bell Laboratories, Lucent Technologies, Murray Hill, New Jersey 07974
2Department of Physics, University of Colorado, CB 390, Boulder, Colorado 80309-0390
3L. D. Landau Institute for Theoretical Physics, Russian Academy of Sciences, Moscow 117334, Russia
4Theoretical Physics Institute, University of Minnesota, Minneapolis, Minnesota 55455

Received 16 June 2001; published 19 November 2001

We calculate the low-energy tunneling density of states ν(ε,T) of an N-channel disordered wire, taking into account the electron-electron interaction nonperturbatively. The finite scattering rate 1/τ results in a crossover from the Luttinger liquid behavior at higher energies, νεα, to the exponential dependence ν(ε,T = 0)exp(-ε*/ε) at low energies, where ε*1/(Nτ). At finite temperature T, the tunneling density of states depends on the energy through the dimensionless variable ε/√ε*T. At the Fermi level ν(ε = 0,T)exp(-√ε*/T).

© 2001 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.87.246801
DOI:
10.1103/PhysRevLett.87.246801
PACS:
73.63.-b, 73.21.Hb, 73.23.Hk