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Phys. Rev. B 60, 5186–5201 (1999)

Commuting quantum transfer-matrix approach to intrinsic fermion system: Correlation length of a spinless fermion model

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Kazumitsu Sakai, Masahiro Shiroishi, and Junji Suzuki*
Institute of Physics, University of Tokyo, Komaba 3-8-1, Meguro-ku, Tokyo 153-8902, Japan

Yukiko Umeno
Department of Physics, University of Tokyo, Hongo 7-3-1, Bunkyo-ku, Tokyo 113-0033, Japan

Received 23 February 1999; published in the issue dated 15 August 1999

The quantum transfer-matrix approach to integrable lattice fermion systems is presented. As a simple case we treat the spinless fermion model with repulsive interaction in critical regime. We derive a set of nonlinear integral equations which characterize the free energy and the correlation length of 〈cj†ci〉 for an arbitrary particle density at any finite temperatures. The correlation length is determined by solving the integral equations numerically. Especially in the low-temperature limit this result agrees with the prediction from conformal field theory with high accuracy.

© 1999 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevB.60.5186
DOI:
10.1103/PhysRevB.60.5186
PACS:
71.10.Fd, 05.30.-d

*Present address: Department of Physics, Faculty of Science, Shizuoka University, Ohya 836, Shizuoka, Japan.

 
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