Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Toulouse Points and Non-Fermi Liquid States in the Mixed Valence Regime
  of the Generalized Anderson Model   We study the mixed valence regime of a generalized Anderson impurity model
using the bosonization approach. This single impurity problem is defined by the
$U=\infty$ Anderson model with an additional density-density interaction, as
well as an explicit exchange interaction, between the impurity and conduction
electrons. We find three points in the interaction parameter space at which all
the correlation functions can be calculated explicitly. These points represent
the mixed valence counterparts of the ususal Toulouse point for the Kondo
problem, and are appropriately named the Toulouse points of the mixed valence
problem. Two of the Toulouse points exhibit the strong coupling, Fermi liquid
behavior. The third one shows spin-charge separation; here, the spin-spin
correlation functions are Fermi-liquid-like, the charge-charge correlation
functions and the single particle Green function have non-Fermi-liquid
behaviors, and a pairing correlation function is enhanced compared to the Fermi
liquid case. This third Toulouse point describes the novel intermediate mixed
valence phase we have previously identified. In deriving these results, we
emphasize the importance of keeping track of the anticommutation relation
between the fermion fields when the bosonization method is applied to quantum
impurity problems.

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The categories of this paper are: alg-geom
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The categories of this paper are: chao-dyn
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The categories of this paper are: quant-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: bayes-an
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The categories of this paper are: hep-ph
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The categories of this paper are: physics
1
The categories of this paper are: cs
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The categories of this paper are: ao-sci
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The categories of this paper are: q-alg
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The categories of this paper are: nucl-ex
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The categories of this paper are: q-bio
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The categories of this paper are: supr-con
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The categories of this paper are: hep-th
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The categories of this paper are: eess
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The categories of this paper are: nucl-th