Boundary Conditions for Renormalization-Group Equations in One-Dimensional Fermi Gas

A. I. Larkin; J. Sak

doi:10.1103/PhysRevLett.39.1025

Boundary Conditions for Renormalization-Group Equations in One-Dimensional Fermi Gas

A. I. Larkin and J. Sak

Phys. Rev. Lett. 39, 1025 – Published 17 October 1977

Abstract

The energy gap in one-dimensional Fermi systems with weak attractive interaction is expressed in terms of the parameters of the Hamiltonian and the electron density. The models of Hubbard and phonon-mediated interactions are studied in detail. The result for the Hubbard model is compared with numerical calculations.

Received 7 September 1977

DOI:https://doi.org/10.1103/PhysRevLett.39.1025

Authors & Affiliations

A. I. Larkin^* and J. Sak^†

Aspen Center for Physics, Aspen, Colorado 81611

^*Permanent address: L. D. Landau Institute for Theoretical Physics, Chernogolovka, Moscow region, U.S.S.R.
^†Permanent address: Serin Physics Laboratory, Rutgers University, New Brunswick, N.J. 08903.