The effect of impurities on the phase transition caused by weak electron-electron interactions in a 3D array of linear conducting chains is considered. Inasmuch as the impurities destroy the correlations between electrons on different chains, they suppress the 3D phase transition and enhance the superconductive fluctuations on single chains, leading to a sort of “precursor” temperature behavior above the 3D phase transition temperature. The possibility of the observation of this effect in real materials is discussed, and arguments are given showing that this phenomenon could be responsible for the unusual properties of the nonstoichiometric compound (TTT)2I+;δ.
Similar content being viewed by others
References
H. J. Keller, ed., Chemistry and Physics of One-Dimensional Metals (Plenum, New York, 1977).
M. Gaudin, Phys. Lett. 24A, 55 (1967).
C. N. Yang, Phys. Rev. Lett. 19, 1312 (1967).
E. H. Leib and F. Y. Wu, Phys. Rev. Lett. 20, 1445 (1968).
P. Lee, T. M. Rice, and P. W. Anderson, Solid State Comm. 14, 703 (1974).
S. A. Brazovskii and I. E. Dzyaloshinskii, Zh. Eksp. Teor. Fiz. 71, 2338 (1976) [Sov. Phys.—JETP 44, 1233 (1976)].
M. J. Rice and N. O. Lipari, Phys. Rev. Lett. 38, 437 (1977).
V. J. Emery, Phys. Rev. Lett. 37, 107 (1976).
P. A. Lee, T. M. Rice, and R. A. Klemm, Phys. Rev. B 15, 2984 (1977).
J. P. Pouget, S. K. Khanna, F. Denoyer, R. Comes, A. F. Garito, and A. J. Heeger, Phys. Rev. Lett. 37, 437 (1976); S. Kagoshima, T. Ishiguro, and H. Anzai, J. Phys. Soc. Japan 41, 2061 (1976).
Yu. M. Bychkov, L. P. Gor'kov, and I. E. Dzyaloshinskii, Zh. Eksp. Teor. Fiz. 50, 738 (1966) [Sov. Phys.—JETP 23, 489 (1966)].
I. E. Dzyaloshinskii and A. I. Larkin, Zh. Eksp. Teor. Fiz. 61, 791 (1971) [Sov. Phys.—JETP 34, 422 (1972)].
L. P. Gor'kov and I. E. Dzyaloshinskii, Zh. Eksp. Teor. Fiz. 67, 397 (1974) [Sov. Phys.—JETP 40, 198 (1975)].
L. J. Sham and B. R. Patton, Phys. Rev. B 13, 3151 (1976).
A. I. Larkin and V. I. Mel'nikov, Zh. Eksp. Teor. Fiz. 71, 2199 (1976).
F. F. Kaminskii, M. L. Khidekel, R. B. Ljubovskii, I. F. Schegolev, R. P. Shibaeva, E. B. Yagubskii, A. V. Zvarykina, G. L. Zvereva, to be published in Phys. Stat. Sol.
G. Mihály, A. Jánossy, and G. Grüner, Solid State Comm. 2, 771 (1977).
E. Abrahams, L. P. Gor'kov, and G. A. Kharadze, Solid State Comm., in press.
A. Zawadowski, Zh. Eksp. Teor. Fiz. 54, 1429 (1968) [Soviet Phys.—JETP 27, 767 (1968)].
H. Fukuyama, T. M. Rice, C. M. Varma, and B. I. Halperin, Phys. Rev. B 10, 3775 (1974).
V. L. Beresinskii, Zh. Eksp. Teor. Fiz. 65, 1251 (1973) [Sov.Phys.—JETP 38, 620 (1974)].
A. A. Gogolin, B. I. Melnikov, and E. I. Rashba, Zh. Eksp. Teor. Fiz. 69, 327 (1975) [Sov. Phys.—JETP 42, 168 (1976)].
L. P. Gor'kov and I. E. Dzyaloshinskii, Zh. Eksp. Teor. Fiz. Pis'ma 18, 686 (1973) [Sov. Phys.—JETP Lett. 18, 401 (1973)].
G. E. Gurgenishvili, A. A. Nersesyan, and G. A. Kharadze, preprint, Inst. of Physics of the Georgian Acad. of Sci. 22-TT, Tbilisi (1974).
L. P. Gor'kov and A. I. Larkin, unpublished.
P. W. Anderson, J. Phys. Chem. Sol. 11, 26 (1959).
Per Bak and S. A. Brazovsky, Nordita preprint.
B. D. Cutforth, W. R. Datars, R. J. Gillespie, and A. Van Schyndel Adv. Chem. Ser. 150, 147 (1976); C. K. Chiang, R. Spal, A. Denenstein, A. J. Heeger, N. Miro and A. G. MacDiarmid, Solid State Comm. 22, 293 (1977).
J. M. Hastings, J. P. Pouget, G. Shirane, A. J. Heeger, N. Miro, and A. G. MacDiarmid, Phys. Rev. Lett., in press.
Author information
Authors and Affiliations
Additional information
This work was performed at the Aspen Center for Physics while the authors were participants in the joint US-USSR research group in the theory of condensed matter, which was supported by a National Science Foundation grant.
Supported in part by NSF grant DMR 76-23330 AO1.
Rights and permissions
About this article
Cite this article
Abrahams, E., Gor'kov, L.P. & Kharadze, G.A. The one-dimensionalization of three-dimensional organic chain conductors by impurities. J Low Temp Phys 32, 673–688 (1978). https://doi.org/10.1007/BF00056652
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00056652