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APS » Journals » Phys. Rev. Lett. » Volume 95 » Issue 20
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Phys. Rev. Lett. 95, 206603 (2005) [4 pages]

Interacting Electrons in Disordered Wires: Anderson Localization and Low-T Transport

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I. V. Gornyi1,*, A. D. Mirlin1,2,†, and D. G. Polyakov1,*
1Institut für Nanotechnologie, Forschungszentrum Karlsruhe, 76021 Karlsruhe, Germany
2Institut für Theorie der kondensierten Materie, Universität Karlsruhe, 76128 Karlsruhe, Germany

Received 21 May 2005; published 8 November 2005

We study the conductivity σ(T) of interacting electrons in a low-dimensional disordered system at low temperature T. For weak interactions, the weak-localization regime crosses over with lowering T into a dephasing-induced “power-law hopping.” As T is further decreased, the Anderson localization in Fock space crucially affects σ(T), inducing a transition at T=Tc, so that σ(T<Tc)=0. The critical behavior of σ(T) above Tc is ln⁡σ(T)∝-(T-Tc)-1/2. The mechanism of transport in the critical regime is many-particle transitions between distant states in Fock space.

© 2005 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.95.206603
DOI:
10.1103/PhysRevLett.95.206603
PACS:
72.20.−i, 71.30.+h, 72.15.Rn, 73.63.−b

*Also at A. F. Ioffe Physico-Technical Institute, 194021 St. Petersburg, Russia.

†Also at Petersburg Nuclear Physics Institute, 188350 St. Petersburg, Russia.

 
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