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Transverse Gauge Interactions and the Vanquished Fermi Liquid

Feb 20, 1995
Published in:
  • Phys.Rev.Lett. 74 (1995) 8, 1423
  • Published: Feb 20, 1995
DOI:
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Abstract: (APS)
The interaction between a Fermi liquid and transverse gauge bosons is considered within the framework of the renormalization group. It is shown from an expansion in \ensuremath{\epsilon}\phantom{\rule{0ex}{0ex}}=\phantom{\rule{0ex}{0ex}}3\ensuremath{-}d, where dd is the spatial dimension, that a nontrivial fixed point emerges for dimensions less than three, and that this fixed point signifies a critical Fermi system different from the conventional Landau-Fermi liquid. The dimension d=3d\phantom{\rule{0ex}{0ex}}=\phantom{\rule{0ex}{0ex}}3 is the upper critical dimension where the correlation functions contain logarithmic corrections; for d>3, the system behaves like a Landau-Fermi liquid. Some of the consequences of this breakdown of Fermi liquid are discussed.
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