Order in coupled metallic chains

  • R. A. Klemm
  • H. Gutfreund
II. Quasi-One-Dimentional Models
Part of the Lecture Notes in Physics book series (LNP, volume 65)


We consider a model of the quasi-one-dimensional conductors in which the electrons propagate on a lattice of identical metallic chains. The intrachain interactions are g1, 92, and 94 and the interchain interactions are v1, v2, and v4. The calculations are carried out for g1=0 and g1/πvF = −6/5, which corresponds to the Luttinger and Luther-Emery lines. When only low-momentum transfer interchain interactions are considered, there is no phase transition. With interchain backscattering, the system may undergo a charge density wave phase transition, but no other type of phase transition. In particular, there cannot be a superconducting phase transition at a finite temperature without some interchain hopping. When interchain tunnelling processes are included, all types of possible long range orderings are possible, and the system undergoes a phase transition of the type which for the particular values of the intrachain interactions, the purely one-dimensional response function is the most divergent as T → 0.


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    H. Gutfreund and R. A. Klemm, Phys. Rev. B 14, 1073 (1976); R. A. Klemm and H. Gutfreund, Phys. Rev. B 14, 1086 (1976).Google Scholar
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    A. Luther and V. J. Emery, Phys. Rev. Lett. 33, 589 (1974).Google Scholar
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    L. Pintschovius, H. Wendel, and H. Kahlert, these proceedings.Google Scholar

Copyright information

© Akadémiai Kiadó 1977

Authors and Affiliations

  • R. A. Klemm
    • 1
  • H. Gutfreund
    • 2
    • 3
  1. 1.Stanford UniversityStanfordCalifornia
  2. 2.The Hebrew University of JerusalemJerusalemIsrael
  3. 3.Department of PhysicsIowa State UniversityAmesUSA

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