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A cross-over from Fermi-liquid to non-Fermi-liquid behaviour in a solvable one-dimensional model

1993/11/01 by Yang Chen, Y. Chen, K. A. Muttalib · 2 citations
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #cond-mat

paper · pdf · doi:10.1088/0953-8984/6/21/002

published as J. Phys. Conds. Matter 6 (1994) L293 (9931103) · 8pp. latex

arxiv created 1993/11/01 · openalex publication_date 1994/05/23 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30

Abstract

We consider a quantum many-body problem in one dimension described by a Jastrow-type wavefunction, characterized by an exponent lambda and a parameter gamma . In the limit gamma =0 the model becomes identical to the well known 1/r 2 pair-potential model; gamma is shown to be related to the strength of a many-body correction to the 1/r 2 interaction. Exact results for the one-particle density matrix are obtained for all gamma when lambda =1, for which the 1/r 2 part of the interaction vanishes. We show that with increasing gamma , the Fermi-liquid state (at gamma =0) crosses over to distinct gamma -dependent non Fermi-liquid states, characterized by effective 'temperatures'.

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