Abstract
The earlier renormalization group treatment of a one-dimensional Fermi gas model is extended to a system of weakly coupled chains. The coupling is a Coulomb-type interaction between electrons on different chains; no interchain hopping is allowed. This system may have a phase transition to a charge density wave state. The charge density waves on the neighboring chains are in phase or in opposite phase depending on the sign of the interchain coupling. No phase transition to a superconducting or antiferromagnetic phase is obtained in the present approximation.
Similar content being viewed by others
References
L. B. Coleman, M. J. Cohen, D. J. Sandman, F. G. Yamagishi, A. F. Garito, and A. J. Heeger,Solid State Commun. 12, 1125 (1973).
R. Comés, M. Lambert, H. Launois, and H. R. Zeller,Phys. Rev. B 8, 571 (1973).
H. Fröhlich,Proc. R. Soc. A 223, 296 (1954).
M. J. Rice and S. Strässler,Solid State Commun. 13, 125 (1973).
P. A. Lee, T. M. Rice, and P. W. Anderson,Phys. Rev. Lett. 31, 462 (1973).
Iu. A. Bychkov, L. P. Gor'kov, and I. E. Dzyaloshinsky,Zh. Eksp. Teor. Fiz. 50, 738 (1966) [English transl.,Soviet Phys.—JETP 23, 489 (1966)].
N. Menyhárd and J. Sólyom,J. Low Temp. Phys. 12, 529 (1973).
J. Sólyom,J. Low Temp. Phys. 12, 547 (1973).
A. Luther and I. Peschel,Phys. Rev. B 9, 2911 (1974).
A. Luther and V. J. Emery,Phys. Rev. Lett. 33, 589 (1974).
K. Levin, D. L. Mills, and S. L. Cunningham,Phys. Rev. B 10, 3821 (1974).
K. Levin, S. L. Cunningham, and D. L. Mills,Phys. Rev. B 10, 3832 (1974).
M. J. Rice and S. Strässler,Solid State Commun. 13, 1389 (1973).
H. Gutfreund, B. Horovitz, and M. Weger,J. Phys. C: Solid State Phys. 7, 383 (1974).
A. Bjeliš, K. Saub, and S. Barišič,Nuovo Cimento 23B, 102 (1974).
B. Horovitz, H. Gutfreund, and M. Weger,Phys. Rev. B 9, 1246 (1974).
W. Dietrich,Z. Physik 270, 239 (1974).
L. P. Gor'kov and I. E. Dzyaloshinsky,Zh. Eksp. Teor. Fiz. 67, 397 (1974).
R. A. Klemm and H. Gutfreund, preprint.
H. G. Schuster, inProc. 14th Int. Conf. Low Temp. Phys., Otaniemi, Finland (North-Holland, Amsterdam, 1975), Vol. 4, p. 344.
N. Menyhárd,J. Phys. A 8, 1982 (1975).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Mihály, L., Sólyom, J. Renormalization group treatment of three-dimensional ordering in a system of weakly coupled linear chains. J Low Temp Phys 24, 579–596 (1976). https://doi.org/10.1007/BF00657168
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00657168