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Quantum Theory of Pomeranchuck Transition in Two Dimensional Fermi Liquids via High Dimensional Bosonization

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arxiv cond-mat/0502270 v1 pith:N2YKHPKY submitted 2005-02-10 cond-mat.str-el

Kun Yang This is my paper · ORCID
classification cond-mat.str-el
keywords bosonizationdimensionaltheorycriticaldimensionfermihighliquids
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We use high dimensional bosonization to derive an effective field theory that describes the Pomeranchuck transition in two-dimensional Fermi liquids. The bosonization approach explicitly retains all low-energy degrees of freedom of the system. The resultant theory has dynamical exponent z=2 at tree level and upper critical dimension d_c=2, thus in 2D the system is at the upper critical dimension. These results differ from those of an earlier study based on integrating out fermions.

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  1. Critical theory of Pomeranchuk transitions via high-dimensional bosonization

    cond-mat.str-el 2025-11 conditional novelty 7.0 of 10

    The 2D Pomeranchuk transition is controlled by a Gaussian fixed point with dynamical exponent z=2 and a marginally irrelevant quartic term, not by the Hertz-Millis z=3 theory.

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