Physical Properties of Metals from a Renormalization Group Standpoint

Physics – Condensed Matter

Scientific paper

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27 pages, 1 encapsulated postscript figure in a separate uufile, use phyzzx and epsf

Scientific paper

We derive the equilibrium and transport properties of metals using renormalization group equations and finite-size scaling. Particular attention is given to the well-known cases of Fermi and Luttinger liquids. An important subtlety is that the temperature dependence of many transport coefficients is determined by ``dangerous'' irrelevant operators. We also characterize violations of Fermi or Luttinger liquid behavior in terms of indices, analogous to the critical indices describing phase transitions. We briefly consider the normal-state properties of the cuprates from this standpoint.

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