Two-cutoff scaling for the one-dimensional electron gas

G. S. Grest, E. Abrahams, S.-T. Chui, P. A. Lee, and A. Zawadowski
Phys. Rev. B 14, 1225 – Published 1 August 1976
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Abstract

We discuss a variety of renormalization-group methods for treating the one-dimensional interacting electron gas when the cutoff for the energy transfer is a phonon frequency ωD, while the electron bandwidth is of order EF, with ωD<EF. Our results, consistent only in the region of weak coupling, give the scaling trajectories for the coupling constants and cutoffs. The relationship to the conventional one-cutoff renormalization-group approach is discussed.

  • Received 9 February 1976

DOI:https://doi.org/10.1103/PhysRevB.14.1225

©1976 American Physical Society

Authors & Affiliations

G. S. Grest* and E. Abrahams*

  • Physics Department, Rutgers University, New Brunswick, New Jersey 08903

S.-T. Chui and P. A. Lee

  • Bell Laboratories, Murray Hill, New Jersey 07974

A. Zawadowski*,‡

  • Physics Department, University of Illinois, Urbana, Illinois 61801
  • Physics Department, Rutgers University, New Brunswick, New Jersey 08903

  • *Supported in part by the NSF Grant Nos. DMR 72-03230-AO1 (Rutgers), DMR 75-13350 (Rutgers), and DMR 72-03026 (Illinois).
  • Present address: Department of Physics, State University of New York at Albany, Albany, N. Y. 12222.
  • Permanent address: Central Research Institute for Physics, Budapest, Hungary.

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Vol. 14, Iss. 3 — 1 August 1976

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