Aleksandr I. Sokolov
Selected publications


    Total number exceeds 260, including 2 books:

  • "Ferroelectrics and Related Materials", by G. A. Smolensky, V. A. Bokov, V. A. Isupov, N. N. Krainik, R. E. Pasynkov, and A. I. Sokolov, Editor-in-Chief G.A. Smolensky, Gordon and Breach, New York-London-Paris-Montreux-Tokyo, 1984, 784 pp.

  • "Physics of Ferroelectric Phenomena"by G. A. Smolensky, V. A. Bokov, V. A. Isupov, N. N. Krainik, R. E. Pasynkov, A. I. Sokolov, and N. K. Yushin. Editor-in-Chief G. A. Smolensky, “Nauka”, Leningrad, 1985, 396 pp. (in Russian).

  • 147 papers in scientific journals and proceedings of international conferences (USSR/Russia, Japan, Spain, Poland, France, USA, Germany, Italy, Great Britain).

  • 18 educational and reference manuals
    Selected papers (from 2001):

  • A. Kudlis and A. I. Sokolov,
    "Universal effective couplings of the three-dimensional n-vector model and field theory",
    Nucl. Phys. B 950, 114881 (2020).

  • M. V. Kompaniets, A. Kudlis, A. I. Sokolov,
    "Six-loop ε expansion study of three-dimensional O(n)O(m) spin models",
    Nucl. Phys. B 950, 114874 (2020).

  • L. Ts. Adzhemyan, E. V. Ivanova, M. V. Kompaniets, A. Kudlis, A. I. Sokolov,
    "Six-loop ε expansion study of three-dimensional n-vector model with cubic anisotropy",
    Nucl. Phys. B 940, 332 (2019).

  • A. I. Sokolov, A. Kudlis, M. A. Nikitina,
    "Effective potential of the three-dimensional Ising model: The pseudo-ε expansion study",
    Nucl. Phys. B 921, 225 (2017).

  • A. Kudlis and A. I. Sokolov,
    "Field theory and anisotropy of a cubic ferromagnet near the Curie point",
    Theoretical and Mathematical Physics 190, 344 (2017) [in Russian].

  • M. A. Nikitina and A. I. Sokolov,
    "Renormalized coupling constants of three-dimensional scalar field theory of type λ φ4 and pseudo-ε-expansion",
    Theoretical and Mathematical Physics 190, 502 (2017) [in Russian].

  • A. Kudlis and A. I. Sokolov,
    "Anisotropy of a cubic ferromagnet at criticality",
    Phys. Rev. E 94, 042107 (2016).

  • M. A. Nikitina, A. I. Sokolov,
    "Critical exponents and the pseudo-ε-expansion",
    Teor. Mat. Fiz. 186, 230 (2016) [Theor. Math. Phys. 186, 192 (2016)].

  • A. I. Sokolov, M. A. Nikitina,
    "Pseudo-ε expansion and critical exponents of superfluid helium",
    Physica A 444, 177 (2016).

  • A. I. Sokolov and M. A. Nikitina,
    "Fisher exponent from pseudo-ε expansion",
    Phys. Rev. E 90, 012102 (2014).

  • A. I. Sokolov and M. A. Nikitina,
    "Pseudo-ε expansion and renormalized coupling constants at criticality",
    Phys. Rev. E 89, 052127 (2014).

  • M. A. Nikitina and A. I. Sokolov,
    "Critical exponents in two dimensions and pseudo-ε expan-sion",
    Phys. Rev. E 89, 042146 (2014).

  • A. I. Sokolov,
    "Phase transitions in two-dimensional systems and multi-loop renormalization-group expansions",
    Teor. Mat. Fiz. 176, 140 (2013) [Theor. Math. Phys. 176, 948 (2013)].

  • A. I. Sokolov,
    "Fluctuations, higher-order anharmonisms and Ginzburg-Landau-Devonshire expansions for barium titanate",
    Teor. Mat. Fiz. 169, 253 (2011) [Theor. Math. Phys. 169, 1583 (2011)].

  • A. I. Sokolov,
    "Paraelectric in a strong high-frequency field",
    Pis’ma v Zh.T.F. 34, ¹ 10, 83 (2008) ) [Techn. Phys. Letters 34, 446 (2008)].

  • Y. L. Wang, A. K. Tagantsev, D. Damjanovich, N. Setter, V. K. Yarmarkin, A. I. Sokolov,
    "Anharmonicity of BaTiO3 single crystals",
    Phys. Rev. B 73, 132103 (2006).

  • A. I. Sokolov,
    "Pseudo-ε-expansion and two-dimensional Ising model",
    Fiz. Tverd. Tela 47, 2056-2059 (2005) [Phys. Solid State 47, 2144 (2005)].

  • P. Calabrese, E. V. Orlov, D. V. Pakhnin, and A. I. Sokolov,
    "Critical behavior of two-dimensional cubic and MN models in the five-loop renormalization-group approximation",
    Phys. Rev. B 70, 094425 (2004).

  • D.V. Pakhnin, A.I. Sokolov, B.N. Shalaev,
    "Nonlinear susceptibilities of uniaxial weakly disordered ferromagnets in the critical region",
    Pis’ma v Zh.E.T.F 75, 459 (2002). [JETP Letters 75, 387 (2002)].

  • D. V. Pakhnin and A. I. Sokolov,
    "Renormalization group and nonlinear susceptibilities of cubic ferromagnets at criticality",
    Phys. Rev. B 64, 094407 (2001).
    Most cited papers (CI – citation index):

  • S. A. Antonenko and A. I. Sokolov,
    "Critical exponents for a three-dimensional O(n)-symmetric model with n > 3",
    Phys. Rev. E 51, 1894-1898 (1995) – CI = 168.

  • A. I. Sokolov,
    "Phase transitions in superfluid neutron liquid",
    Zh.E.T.F. 79, 1137 (1980) [Sov. Phys. JETP 52, 575 (1980)] – CI = 127.

  • S. A. Antonenko and A. I. Sokolov,
    "Phase transitions in anisotropic superconducting and magnetic systems with vector order parameter: three-loop renormalization group analysis",
    Phys. Rev. B 49, 15901-15912 (1994) – CI = 112.

  • Y. L. Wang, A. K. Tagantsev, D. Damjanovich, N. Setter, V. K. Yarmarkin, A. I. Sokolov, I. A. Lukyanchuk,
    "Landau thermodynamic potential for BaTiO3",
    J. Appl. Phys. 101, 104115 (2007) – CI = 87.

  • I. O. Mayer, A. I. Sokolov, B. N. Shalayev,
    "Critical exponents for cubic and impure uniaxial crystals: most accurate (?) theoretical values",
    Ferroelectrics 95, 93-96 (1989) – CI = 81.

  • D. V. Pakhnin and A. I. Sokolov,
    "Five-loop renormalization-group expansions for the three-dimensional n-vector cubic model and critical exponents for impure Ising systems",
    Phys. Rev. B 61, 15130-15135 (2000) – CI = 70.

  • S. A. Antonenko, A. I. Sokolov, K. B. Varnashev,
    "Chiral transitions in three-dimensional magnets and higher-order ε expansion",
    Phys. Lett. A 208, 161-164 (1995) – CI = 68.

  • P. Calabrese, P. Parruccini, and A. I. Sokolov,
    "Chiral phase transitions: focus driven critical behavior in systems with planar and vector ordering",
    Phys. Rev. B 66, 180403 (2002) – CI = 58.

  • B. N. Shalaev, S. A. Antonenko, A. I. Sokolov,
    "Five-loop √ε -expansions for random Ising model and marginal spin dimensionality for cubic systems",
    Phys. Lett. A 230, 105-110 (1997) – CI = 57.

  • I. O. Maier, A. I. Sokolov,
    "Critical exponents of impure Ising model",
    Fiz. Tverd. Tela 26, 3454-3456 (1984) [Sov. Phys. Solid State 26, 2076 (1984] – CI = 46.

  • D. Loison, A. I. Sokolov, B. Delamotte, S. A. Antonenko, K. D. Schotte, H. T. Diep,
    "Critical behaviour of frustrated systems: Monte Carlo simulations versus renormalization group",
    Ïèñüìà â ÆÝÒÔ 72, 487-492 (2000) – CI = 43.

  • E. V. Orlov, A. I. Sokolov,
    "Critical thermodynamics of two-dimensional systems in five-loop renormalization-group approximation",
    Fiz. Tverd. Tela 42, 2087 (2000) [Phys. Solid State 42, 2151 (2000)] – CI = 43.

  • A. I. Sokolov,
    "Specific heat anomalies in high temperature superconductors. Critical behaviour or gaussian fluctuations",
    Physica C 174, 208-214 (1991) – CI = 42.

  • A. I. Sokolov,
    "Universal effective coupling constants for generalized Heisenberg model",
    Fiz. Tverd. Tela 40, 1284 (1998) [Phys. Solid State 40, 1169 (1998)] – CI = 37.

  • A. I. Sokolov, B. N. Shalaev,
    "On the critical behavior of Ising model with impurities",
    Fizika Tverdogo Tela 23, 2058-2063 (1981) [Sov. Phys. Solid State 23 (1981)] – CI = 35.

  • P. Calabrese, P. Parruccini, A. I. Sokolov,
    "Critical thermodynamics of a three-dimensional chiral model for N > 3",
    Phys. Rev. B 68, 094415 (2003) – CI = 35.

  • A. I. Sokolov, A. K. Tagantsev,
    "Phase transitions in a cubic crystal with dipolar forces and anisotropic correlation function",
    Zh.E.T.F. 76, 181 (1979) [Sov. Phys. JETP 49, 92 (1979)] – CI = 34.

  • C. Politis, A. I. Sokolov, and V. Buntar',
    "Penetration Depth and Coherence Length in Superconducting Fullerene Rb3C60",
    Mod. Phys. Lett. B 6, 351 (1992) – CI = 33.

  • Y.L. Wang, A.K. Tagantsev, D. Damjanovich, N. Setter, V.K. Yarmarkin, A.I. Sokolov,
    "Anharmonicity of BaTiO3 single crystals",
    Phys. Rev. B 73, 132103 (2006) – CI = 33.

  • A. I. Sokolov, E. V. Orlov, V. A. Ul'kov, and S. S. Kashtanov,
    "Universal critical coupling constants for the three-dimensional n-vector model from field theory",
    Phys. Rev. E 60, 1344 (1999) – CI = 32.