Abstract
A brief overview of the basic concepts and problems of the physics of quasi-one-dimensional (q1D) compounds is given. A consistent theoretical description of the nature of the so-called pseudogap state still remains the main problem. A simplified model of the pseudogap state based on the formation of smallradius polarons is considered within the cluster perturbation theory.
Similar content being viewed by others
References
I. Bloch, Nat. Phys. 1, 23 (2005).
E. Pazy and A. Vardi, Phys. Rev. A 72, 033609 (2005).
U. Bissbort, D. Cocks, A. Negretti, Z. Idziaszek, T. Calarco, F. Schmidt-Kaler, W. Hofstetter, and R. Gerritsma, Phys. Rev. Lett. 111, 080501 (2013).
M. Bruderer, A. Klein, S. R. Clark, and D. Jaksch, Phys. Rev. A 76, 011605(R) (2007).
C. Kohstall, M. Zaccanti, M. Jag, A. Trenkwalder, P. Massignan, G. M. Bruun, F. Schreck, and R. Grimm, Nature 485, 615 (2012).
L. N. Bulaevskii, Sov. Phys. Usp. 18, 131 (1975).
R. E. Peierls, Quantum Theory of Solids (Oxford Univ. Press, Oxford, 1955).
E. H. Lieb and F. Y. Wu, Phys. Rev. Lett. 20, 1445 (1968).
N. F. Mott and W. D. Twose, Adv. Phys. 10, 107 (1961).
V. L. Berezinskii, Sov. Phys. JETP 38, 620 (1973).
V. Ya. Pokrovskii, S. G. Zybtsev, M. V. Nikitin, I. G. Gorlova, V. F. Nasretdinova, and S. V. Zaitsev-Zotov, Phys. Usp. 56, 29 (2013).
S. V. Zaitsev-Zotov, Phys. Usp. 47, 533 (2004).
M. Grioni, S. Pons, and E. Frantzeskakis, J. Phys.: Condens. Matter 21, 023201 (2009).
L. Perfetti, S. Mitrovic, G. Margaritondo, M. Grioni, L. Forro, L. Degiorgi, and H. Hochst, Phys. Rev. B 66, 075107 (2002).
L. Perfetti, H. Berger, A. Reginelli, L. Degiorgi, H. Hochst, J. Voit, G. Margaritondo, and M. Grioni, Phys. Rev. Lett. 87, 216404 (2001).
P. Monceau, Adv. Phys. 61, 325 (2012).
F. Ya. Nad’ and M. E. Itkis, JETP Lett. 63, 262 (1996).
K. Kim, R. H. McKenzie, and J. W. Wilkins, Phys. Rev. Lett. 71, 4015 (1993).
S. Brown and A. Zettl, in Charge Density Waves in Solids, Vol. 25 of Modern Problems in Condensed Matter Science, Ed. by L. P. Gor’kov and G. Gruner (North-Holland, Amsterdam, 1989), p.223.
G. Gruner, Density Waves in Solids (Addison-Wesley, Reading, MA, 1994).
P. A. Lee, T. M. Rice, and P. W. Anderson, Phys. Rev. Lett. 31, 462 (1973).
R. Yusupov, T. Mertelj, V. V. Kabanov, S. Brazovskii, P. Kusar, J.-H. Chu, I. R. Fisher, and D. Mihailovic, Nat. Phys. 6, 681 (2010).
D. Mou, R. M. Konik, A. M. Tsvelik, I. Zaliznyak, and X. Zhou, Phys. Rev. B 89, 201116(R) (2014).
C. Tournier-Colletta, L. Moreschini, G. Autes, S. Moser, A. Crepaldi, H. Berger, A. L. Walter, K. S. Kim, A. Bostwick, P. Monceau, E. Rotenberg, O. V. Yazyev, and M. Grioni, Phys. Rev. Lett. 110, 236401 (2013).
M. V. Sadovskii, Sov. Phys. JETP 39, 845 (1974).
M. V. Sadovskii, Sov. Phys. Solid State 16, 1632 (1974).
M. V. Sadovskii, Sov. Phys. JETP 50, 989 (1979).
J. Schmalian, D. Pines, and B. Stojkovic, Phys. Rev. Lett. 80, 3839 (1998).
J. Schmalian, D. Pines, and B. Stojkovic, Phys. Rev. B 60, 667 (1999).
E. Z. Kuchinskii and M. V. Sadovskii, J. Exp. Theor. Phys. 88, 968 (1999).
S. A. Brazovskii, JETP Lett. 28, 606 (1978).
S. A. Brazovskii, I. E. Dzyaloshinskii, and S. P. Obukhov, Sov. Phys. JETP 45, 814 (1977).
I. G. Lang and Yu. A. Firsov, Sov. Phys. JETP 16, 1301 (1963).
N. Prokof’ev and B. Svistunov, Phys. Rev. Lett. 81, 2514 (1998).
A. Mishchenko, N. Prokof’ev, A. Sakamoto, and B. Svistunov, Phys. Rev. B 62, 6317 (2000).
P. E. Kornilovitch, Phys. Rev. Lett. 81, 5382 (1998).
A. S. Alexandrov, Phys. Rev. B 49, 9915 (1994).
V. Cataudella, G. D. Filippis, and G. Iadonisi, Phys. Rev. B 62, 1496 (2000).
E. Jeckelmann and S. R. White, Phys. Rev. B 57, 6367 (1998).
S. G. Ovchinnikov, V. A. Gavrichkov, M. M. Korshunov, and E. I. Shneyder, Springer Ser. Solid-State Sci. 171, 143 (2012).
V. I. Anisimov, D. E. Kondakov, A. V. Kozhevnikov, I. A. Nekrasov, Z. V. Pchelkina, J. W. Allen, S.-K. Mo, H.-D. Kim, P. Metcalf, S. Suga, A. Sekiyama, G. Keller, I. Leonov, X. Ren, and D. Vollhardt, Phys. Rev. B 71, 125119 (2005).
I. A. Makarov, E. I. Shneyder, P. A. Kozlov, and S. G. Ovchinnikov, Phys. Rev. B 92, 155143 (2015).
S. G. Ovchinnikov and V. V. Val’kov, Hubbard Operators in the Theory of Strongly Correlated Electrons (Imperial College, London, Singapore, 2004).
R. O. Zaitsev, Sov. Phys. JETP 43, 574 (1976).
D. Senechal, A.-M. Tremblay, and C. Bourbonnais, Theoretical Methods for Strongly Correlated Electrons (Springer, Berlin, Heidelberg, 2004).
S. V. Nikolaev and S. G. Ovchinnikov, J. Exp. Theor. Phys. 111, 635 (2010).
G. A. Sawatzky, Nature (London) 342, 480 (1989).
G. D. Mahan, Many Particle Physics (Plenum, New York, 1990).
D. C. Johnston, Phys. Rev. Lett. 52, 2049 (1984).
D. S. Dessau, T. Saitoh, C.-H. Park, Z.-X. Shen, P. Villella, N. Hamada, Y. Moritomo, and Y. Tokura, Phys. Rev. Lett. 81, 192 (1998).
N. Mannella, W. L. Yang, X. J. Zhou, H. Zheng, J. F. Mitchell, J. Zaanen, T. P. Devereaux, N. Nagaosa, Z. Hussain, and Z.-X. Shen, Nature 438, 474 (2005).
D. S. Marshall, D. S. Dessau, A. G. Loeser, C.-H. Park, A. Y. Matsuura, J. N. Eckstein, I. Bozovic, P. Fournier, A. Kapitulnik, W. E. Spicer, and Z.-X. Shen, Phys. Rev. Lett. 76, 4841 (1996).
A. G. Loeser, Z.-X. Shen, D. S. Dessau, D. S. Marshall, C. H. Park, P. Fournier, and A. Kapitulnik, Science 273, 325 (1996).
H. Ding, T. Yokoya, J. C. Campuzano, T. Takahashi, M. Randeria, M. R. Norman, T. Mochiku, K. Kadowaki, and J. Giapintzakis, Nature (London) 382, 51 (1996).
Udai Raj Singh, S. Chaudhuri, R. C. Budhani, and Anjan K. Gupta, J. Phys.: Condens. Matter 21, 355001 (2009).
A. Bussmann-Holder, H. Keller, A. R. Bishop, A. Simon, and K. A. Muller, J. Supercond. Novel Magn. 21, 353 (2008).
G. Sica, J. H. Samson, and A. S. Alexandrov, Europhys. Lett. 100, 37005 (2012).
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © Yu.S. Orlov, V.A. Dudnikov, 2017, published in Zhurnal Eksperimental’noi i Teoreticheskoi Fiziki, 2017, Vol. 152, No. 5, pp. 944–956.
Rights and permissions
About this article
Cite this article
Orlov, Y.S., Dudnikov, V.A. Polaron model of a pseudogap state in quasi-one-dimensional systems. J. Exp. Theor. Phys. 125, 798–809 (2017). https://doi.org/10.1134/S1063776117110103
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1063776117110103