Quasiclassical theory of electronic transport in mesoscopic systems: Luttinger liquids revisited | Zendy

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Quasiclassical theory of electronic transport in mesoscopic systems: Luttinger liquids revisited

Author(s) -

Eckern Ulrich,

Schwab Peter

Publication year - 2007

Publication title -

physica status solidi (b)

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.51

H-Index - 109

eISSN - 1521-3951

pISSN - 0370-1972

DOI - 10.1002/pssb.200674610

Subject(s) - bosonization , mesoscopic physics , luttinger liquid , condensed matter physics , quantum tunnelling , physics , function (biology) , density of states , fermi gamma ray space telescope , local density of states , statistical physics , quantum mechanics , electron , fermion , evolutionary biology , biology

The method of the quasiclassical Green's function is used to determine the equilibrium properties of one‐dimensional (1D) interacting Fermi systems, in particular, the bulk and the local (near a hard wall) density of states. While this is a novel approach to 1D systems, our findings do agree with standard results for Luttinger liquids obtained with the bosonization method. Analogies to the so‐called P ( E ) theory of tunneling through ultrasmall junctions are pointed out and are exploited. Further applications of the Green's function method for 1D systems are discussed. (© 2007 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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