Journal of Experimental and Theoretical Physics

, Volume 123, Issue 5, pp 838–844 | Cite as

Singular temperature dependence of the equation of state of superconductors with spin–orbit interaction in the low-temperature region

  • Yu. N. Ovchinnikov
Order, Disorder, and Phase Transition in Condensed System


The equation of state is investigated for a thin superconducting film in a longitudinal magnetic field and with strong spin-orbit interaction at the critical point. As a first step, the state with the maximal value of the magnetic field for a given value of spin–orbit interaction at T = 0 is chosen. This state is investigated in the low-temperature region. The temperature contribution to the equation of state is weakly singular.


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  1. 1.
    Tong Zhang, Peng Cheng, Wen-Juan Li, et al., Nat. Phys. 6, 104 (2010).CrossRefGoogle Scholar
  2. 2.
    Jian-Feng Ge, Zhi-Long Liu, Canhua Liu, et al., Nat. Mater. 14, 285 (2015).ADSCrossRefGoogle Scholar
  3. 3.
    L. D. Landau and E. M. Lifshitz, Quantum Mechanics (Nauka, Moscow, 1989; Pergamon, Oxford, 1965).zbMATHGoogle Scholar
  4. 4.
    E. I. Rashba, Sov. Phys. Solid 2, 1109 (1960).Google Scholar
  5. 5.
    P. Fulde and R. Ferrell, Phys. Rev. 135, A550 (1964).ADSCrossRefGoogle Scholar
  6. 6.
    A. I. Larkin and Y. N. Ovchinnikov, Sov. Phys. JETP 20, 762 (1965).MathSciNetGoogle Scholar
  7. 7.
    A. Abrikosov, L. P. Gorkov, and I. E. Dzyaloshinskii, Methods of Quantum Field Theory in Statistical Physics (Prentice Hall, Englewood Cliffs, New York, 1963).zbMATHGoogle Scholar
  8. 8.
    Yu. N. Ovchinnikov, Int. J. Mod. Phys. B 30 (25), 1650183 (2016).ADSMathSciNetCrossRefGoogle Scholar

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© Pleiades Publishing, Inc. 2016

Authors and Affiliations

  1. 1.Max Planck Institute for the Physics of Complex SystemsDresdenGermany
  2. 2.Landau Institute for Theoretical PhysicsRussian Academy of SciencesChernogolovka, Moscow oblastRussia

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