Classical calculation of correlation functions in a one-dimensional Fermi gas
- 1 December 1977
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 16 (11) , 4841-4845
- https://doi.org/10.1103/physrevb.16.4841
Abstract
The response functions of the one-dimensional Fermi gas with backscattering are studied using an equivalence of the spin-density part of the Fermi Hamiltonian to the sine-Gordon Hamiltonian. The singlet spin-density response function is evaluated in functional-integral form, using a transfer-matrix technique. For low temperatures and large distances, this function is found to be unity. The triplet response function is found, in a harmonic approximation, to be zero. These results support the proposal by Luther and Emery that the singular behavior of the Fermi-gas response functions is determined solely by the charge-density modes. Also supported is the rather intuitive picture, based on a mapping to the two-dimensional Coulomb gas, of Chui and Lee.Keywords
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