Abstract
Phase transitions observed in electronic systems of solids in the vicinity of the quantum critical point where the effective mass diverges are analyzed within the framework of the theory of fermion condensation. It is shown that the disordered phase contains a fermion condensate. Its entropy is finite at T → 0 and initiates a chain of transitions occurring at extremely low temperatures. The results are in agreement with experiment.
Similar content being viewed by others
References
P. Coleman, C. Pepin, Q. Si, and R. Ramazashvili, J. Phys.: Condens. Matter 13, R723 (2001).
J. W. Clark, V. A. Khodel, and M. V. Zverev, Phys. Rev. B 71, 012401 (2004).
Z. Hossain, C. Geibel, F. Weickert, et al., Phys. Rev. B 72, 094411 (2005).
H. Q. Yuan, M. Nicklas, Z. Hossain, et al., Phys. Rev. B 74, 212403 (2006).
V. A. Khodel and V. R. Shaginyan, Pis’ma Zh. Éksp. Teor. Fiz. 51, 488 (1990) [JETP Lett. 51, 553 (1990)]; Condens. Matter Theor. 12, 221 (1997); V. A. Khodel, V. V. Khodel, and V. R. Shaginyan, Phys. Rep. 249, 1 (1994).
G. E. Volovik, Pis’ma Zh. Éksp. Teor. Fiz. 53, 208 (1991) [JETP Lett. 53, 222 (1991)].
P. Noziéres, J. Phys. I 2, 443 (1992).
V. R. Shaginyan, Pis’ma Zh. Éksp. Teor. Fiz. 77, 104 (2003) [JETP Lett. 77, 99 (2003)]; Pis’ma Zh. Éksp. Teor. Fiz. 79, 344 (2004) [JETP Lett. 79, 286 (2004)].
V. A. Khodel, M. V. Zverev, and V. M. Yakovenko, Phys. Rev. Lett. 95, 236402 (2005).
L. D. Landau, Zh. Éksp. Teor. Fiz. 30, 1058 (1956) [Sov. Phys. JETP 3, 920 (1956)].
M. V. Zverev and V. A. Khodel’, Pis’ma Zh. Éksp. Teor. Fiz. 79, 772 (2004) [JETP Lett. 79, 635 (2004)].
G. R. Stewart, Rev. Mod. Phys. 56, 755 (1984).
P. Gegenwart, J. Custers, T. Tayama, et al., Acta Phys. Pol. B 34, 323 (2003).
M. V. Zverev, V. A. Khodel’, V. R. Shaginyan, and M. Baldo, Pis’ma Zh. Éksp. Teor. Fiz. 65, 828 (1997) [JETP Lett. 65, 863 (1997)].
N. Oeschler, P. Gegenwart, M. Langet, et al., Phys. Rev. Lett. 91, 076402 (2003).
C. M. Varma, P. B. Littlewood, S. Schmitt-Rink, et al., Phys. Rev. Lett. 63, 1996 (1989).
J. Custers, P. Gegenwart, H. Wilhelm, et al., Nature 424, 524 (2003).
K. Ishida, K. Okamoto, Y. Kawasaki, et al., Phys. Rev. Lett. 89, 107202 (2002).
E. M. Lifshitz and L. P. Pitaevskiĭ, Course of Theoretical Physics, Vol. 9: Statistical Physics, 2nd ed. (Fizmatlit, Moscow, 2001; Butterworth-Heinemann, Oxford, 1999), Part 2.
M. V. Zverev and M. Baldo, Zh. Éksp. Teor. Fiz. 114, 2078 (1998) [JETP 87, 1129 (1998)]; J. Phys.: Condens. Matter 11, 2059 (1999).
H. Frölich, Phys. Rev. 79, 845 (1950).
C. J. Halboth and W. Metzner, Phys. Rev. Lett. 85, 5162 (2000).
V. Oganesyan, S. A. Kivelson, and E. Fradkin, Phys. Rev. B 64, 195109 (2001).
J. Paglione, M. A. Tanatar, D. G. Hawthorn, et al., Phys. Rev. Lett. 97, 106606 (2006).
P. Gegenwart, J. Custers, C. Geibel, et al., Phys. Rev. Lett. 89, 056402 (2002).
B.-L. Young, R. R. Urbano, N. J. Curro, et al., Phys. Rev. Lett. 98, 036402 (2007).
Author information
Authors and Affiliations
Additional information
Original Russian Text © V.A. Khodel, M.V. Zverev, 2007, published in Pis’ma v Zhurnal Éksperimental’noĭ i Teoreticheskoĭ Fiziki, 2007, Vol. 85, No. 8, pp. 489–494.