Russian Academy of Sciences

Landau Institute for Theoretical Physics

Pavel B. Wiegmann

Leading researcher (associated)

Doctor of science

Publications

    1. P. Wiegmann, Anomalous hydrodynamics of fractional quantum Hall states, ZhETF, 144(3), 617-631 (2013) [JETP 117(3), 538-550 (2013)].
    2. K.B. Efetov, M.V. Feigel’man, P.B. Wiegmann, Comment on “Collective Cooper-Pair Transport in the Insulating State of Josephson-Junction Arrays”, Phys. Rev. Lett., 102, 049701 (2009) [1 pages].
    3. E. Bettelheim, A.G. Abanov, P.B. Wigmann, Quantum hydrodynamics and nonlinear differential equations for degenerate Fermi gas, J. Phys. A 41, 392003 (2008).
    4. K.B. Efetov, M.V. Feigel’man, P.B. Wiegmann, Comment on "Superinsulator and Quantum Synchronization", arXiv:0804.3775.
    5. E. Bettelheim, A.G. Abanov, P. Wiegmann, Nonlinear dynamics of quantum systems and soliton theory, J. Phys. A 40 (8), F193-F207 (2007); nlin/0605006.
    6. I. Rushkin, E. Bettelheim, I.A. Gruzberg, P. Wiegmann, Critical curves in conformally invariant statistical systems, J. Phys. A 40 (9), 2165-2195 (2007).
    7. A. Zabrodin, P. Wiegmann, Large-N expansion for the 2D Dyson gas, J. Phys. A 39(28), 8933-8963 (2006); hep-th/0601009.
    8. E. Bettelheim, A.G. Abanov, P. Wiegmann, Nonlinear quantum shock waves in fractional quantum hall edge states, Phys. Rev. Lett. 97, 246401 (2006); cond-mat/0606778.
    9. E. Bettelheim, A.G. Abanov, P. Wiegmann, Orthogonality catastrophe and shock waves in a nonequilibrium fermi gas, Phys. Rev. Lett. 97, 246402 (2006); cond-mat/0607453.
    10. Seung-Y. Lee, E. Bettelheim, P. Wiegmann, Bubble break-off in Hele-Shaw flows: Singularities and integrable structures, Physica D 219 (1), 22-34 (2006); nlin/0604054.
    11. E. Bettelheim, A.G. Abanov, P. Wiegmann, Quantum Shock Waves - the case for non-linear effects in dynamics of electronic liquids, cond-mat/0606778.
    12. K.B. Efetov, D.E. Khmelnitskii, Yu.N. Ovchinnikov, P.B. Wiegmann, Anatoly Ivanovich Larkin — Obituary, Phys. Today, 59(4), 88-89 (2006).
    13. R. Teodorescu, E. Bettelheim, O. Agam, A. Zabrodin, P. Wiegmann, Normal random matrix ensemble as a growth problem, Nucl. Phys. B 704(3), 407-444 (2005); hep-th/0401165.
    14. R. Teodorescu, P. Wiegmann, A. Zabrodin, Unstable fingering patterns of Hele-Shaw flows as a dispersionless limit of the Kortweg-de Vries hierarchy, Phys. Rev. Lett. 95, 044502 (2005); cond-mat/0502179.
    15. A.G. Abanov, P.B. Wiegmann, Quantum Hydrodynamics, the Quantum Benjamin-Ono Equation, and the Calogero Model, Phys. Rev. Lett. 95, 076402 (2005); cond-mat/0504041.
    16. E. Bettelheim, I. Rushkin, I.A. Gruzberg, P. Wiegmann, On harmonic measure of critical curves, Phys. Rev. Lett. 95, 170602 (2005); hep-th/0507115.
    17. E. Bettelheim, O. Agam, A. Zabrodin, P. Wiegmann, Singularities of the Hele-Shaw Flow and Shock Waves in Dispersive Media, Phys. Rev. Lett. 95, 244504 (2005); nlin/0505027.
    18. E. Bettelheim, I.A. Gruzberg, A.W.W. Ludwig, P. Wiegmann, Stochastic Loewner evolution for conformal field theories with Lie-group symmetries, Phys. Rev. Lett. 95, 251601 (2005); hep-th/0503013.
    19. A.A. Abrikosov, B.L. Al’tshuler, V.G. Vaks, A.A. Varlamov, P.B. Vigman, L.P. Gor’kov, L.I. Glazman, I.E. Dzyaloshinskii, K.B. Efetov, L.B. Ioffe, Yu.N. Ovchinnikov, D.E. Khmel’nitskii, Pamyati Anatoliya Ivanovicha Larkina, Uspekhi fiz. nauk, 175 (9), 1011-1012 (2005) [A.A. Abrikosov, B.L. Al’tshuler, V.G. Vaks, A.A. Varlamov, P.B. Wigman, L.P. Gor’kov, L.I. Glazman, I.E. Dzyaloshinskii, K.B. Efetov, L.B. Ioffe, Yu.N. Ovchinnikov, D.E. Khmel’nitskii, In memory of Anatolii Ivanovich Larkin, Phys.-Usp. 48(9), 969-970 (2005)], WoS: 000234905700010.
    20. R. Teodorescu, E. Bettelheim, O. Agam, A. Zabrodin, P. Wiegmann, Semiclassical evolution of the spectral curve in the normal random matrix ensemble as Whitham hierarchy, Nucl. Phys. B 700(1-3), 521-532 (2004); hep-th/0407017.
    21. I. Krichever, M. Mineev-Weinstein, P. Wiegmann, A. Zabrodin, Laplacian growth and Whitham equations of soliton theory, Physica D 198 (1-2), 1-28 (2004); nlin/0311005.
    22. P. Wiegmann, A. Zabrodin, Large scale correlations in normal non-Hermitian matrix ensembles, J. Phys. A 36(12), 3411-3424 (2003); hep-th/0210159.
    23. P. Wiegmann, A. Zabrodin, Large N expansion for normal and complex matrix ensembles, hep-th/0309253.
    24. A. Marshakov, P. Wiegmann, A. Zabrodin, Integrable structure of the Dirichlet boundary problem in two dimensions, Commun. Math. Phys., 227 (1), 131-153 (2002); hep-th/0109048.
    25. O. Agam, E. Bettelheim, P. Wiegmann, A. Zabrodin, Viscous fingering and the shape of an electronic droplet in the quantum Hall regime, Phys. Rev. Lett. 88, 236801 (2002); cond-mat/0111333.
    26. P. Wiegmann, Aharonov-Bohm Effect in the Quantum Hall Regime and fingering instability, In: Statistical Field Theories, pp. 337-349, A. Cappelli and G. Mussardo (eds.), 2002 Kluwer Academic Publishers; cond-mat/0204254.
    27. A.G. Abanov, P.B. Wiegmann, On the correspondence between fermionic number and statistics of solitons, J. High Energy Phys., 0110, 030 (2001); hep-th/0105213.
    28. A. Boyarsky, A. Marshakov, O. Ruchayskiy, P. Wiegmann, A. Zabrodin, Associativity equations in dispersionless integrable hierarchies, Phys. Lett. B 515 (3-4), 483-492 (2001); hep-th/0105260.
    29. A.G. Abanov, P.B. Wiegmann, Chiral nonlinear \sigma models as models for topological superconductivity, Phys. Rev. Lett. 86 (7), 1319-1322 (2001); hep-th/0006157.
    30. I.K. Kostov, I. Krichever, M. Mineev-Weinstein, P.B. Wiegmann, A. Zabrodin, The τ-function for analytic curves, MSRI Publ., Vol. 40, 285-299 (2001) [Random Matrix Models and Their Applications, Ed. by P.Bleher, A.Its. Cambridge University Press, 2001, v+438 pp. ISBN: 0521802091]; hep-th/0005259.
    31. P.B. Wiegmann, A. Zabrodin, Conformal maps and integrable hierarchies, Commun. Math. Phys., 213 (3), 523-538 (2000); hep-th/9909147.
    32. A.G. Abanov, P.B. Wiegmann, Theta-terms in nonlinear sigma-models, Nucl. Phys. B 570 (3), 685-698 (2000); hep-th/9911025.
    33. M. Mineev-Weinstein, P.B. Wiegmann, A. Zabrodin, Integrable structure of interface dynamics, Phys. Rev. Lett. 84(22), 5106-5109 (2000); nlin/0001007.
    34. P.B. Wiegmann, Topological electronic liquids: Electronic physics of one dimension beyond the one spatial dimension, Phys. Rev. B 59(24), 15705-15728 (1999); cond-mat/9808004.
    35. P.B. Wiegmann, On the singular spectrum of the Almost Mathieu operator. Arithmetics and Cantor spectra of integrable models, Prog. Theor. Phys. Suppl. No 134, 171-181 (1999); hep-th/9909083.
    36. I. Krichever, P. Wiegmann, A. Zabrodin, Elliptic solutions to difference non-linear equations and related many-body problems, Commun. Math. Phys., 193 (2), 373-396 (1998); hep-th/9704090.
    37. A.G. Abanov, J.C. Talstra, P.B. Wiegmann, Hierarchical structure of Azbel-Hofstadter problem: Strings and loose ends of Bethe ansatz, Nucl. Phys. B 525 (3), 571-596 (1998); cond-mat/9711274.
    38. A.G. Abanov, P.B. Wiegmann, Tunneling in the topological mechanism of superconductivity, Phys. Rev. B 57(14), 8532-8548 (1998); cond-mat/9703157.
    39. A.G. Abanov, J.C. Talstra, P.B. Wiegmann, Asymptotically exact wave functions of the Harper equation, Phys. Rev. Lett. 81(10), 2112-2115 (1998); cond-mat/9803179.
    40. I. Krichever, O. Lipan, P. Wiegmann, A. Zabrodin, Quantum integrable models and discrete classical Hirota equations, Commun. Math. Phys., 188 (2), 267-304 (1997), WoS: A1997XZ88700002.
    41. P. Wiegmann, Bethe Ansatz and Classical Hirota Equation, Int. J. Mod. Phys. B 11 (1-2), 75-89 (1997); cond-mat/9610132.
    42. O. Lipan, P.B. Wiegmann, A. Zabrodin, Fusion rules for quantum transfer matrices as a dynamical system on Grassmann manifolds, Mod. Phys. Lett. A 12(19), 1369-1378 (1997); solv-int/9704015.
    43. A.G. Abanov, P.B. Wiegmann, Tunneling and orthogonality catastrophe in the topological mechanism of superconductivity, Phys. Rev. Lett. 78(21), 4103-4106 (1997); cond-mat/9701163.
    44. I. Krichever, O. Lipan, P. Wiegmann, A. Zabrodin, Quantum Integrable Systems and Elliptic Solutions of Classical Discrete Nonlinear Equations, In: Low-dimensional applications of quantum field theory. Dedicated to Claude Itzykson. Summer School, Cargèse, Corsica, France, July 11-29, 1995. Ed. Beaulieu, Laurent et al., New York, NY: Plenum Publishing Corporation. NATO ASI Ser., Ser. B, Phys. 362, 279-317 (1997). ISBN 0-306-45686-9; hep-th/9604080.
    45. H.C. Lee, P.B. Wiegmann, Coherent versus incoherent transport in layered doped Mott insulators, Phys. Rev. B 53(17), 11817-11824 (1996); cond-mat/9510173.
    46. P.B. Wiegmann, A.V. Zabrodin, Algebraization of difference eigenvalue equations related to $U_q(sl_2)$, Nucl. Phys. B 451 (3), 699-724 (1995); cond-mat/9501129.
    47. P.B. Wiegmann, Topological Mechanism of Superconductivity, Lect. Notes Phys., 456, 177-206 (1995) [Field Theory, Topology and Condensed Matter Physics, Hendrik B. Geyer (Ed.). Springer, xii,206 pp., ISBN 978-3-540-60138-8]; cond-mat/9504094.
    48. P.B. Wiegmann, A.V. Zabrodin, Quantum group and magnetic translations: Bethe ansatz solution for the Harper’s equation, Mod. Phys. Lett. B 8 (5), 311-318 (1994).
    49. P.B. Wiegmann, A.V. Zabrodin, Quantum group and magnetic translations Bethe ansatz for the Asbel-Hofstadter problem, Nucl. Phys. B 422 (3), 495-514 (1994); cond-mat/9312088.
    50. V.A. Fateev, V.A. Kazakov, P.B. Wiegmann, Principal chiral field at large N, Nucl. Phys. B 424 (3), 505-520 (1994); hep-th/9403099.
    51. P.B. Wiegmann, A.V. Zabrodin, Bethe-ansatz for the Bloch electron in magnetic field, Phys. Rev. Lett. 72(12), 1890-1893 (1994), WoS: A1994NB62200029.
    52. D.V. Khveshchenko, P.B. Wiegmann, Raman scattering and anomalous current algebra in Mott insulators, Phys. Rev. Lett. 73 (3), 500-503 (1994); cond-mat/9402034.
    53. V.A. Fateev, V.A. Kazakov, P.B. Wiegmann, Large-N chiral field in two dimensions, Phys. Rev. Lett. 73(13), 1750-1753 (1994).
    54. P.B. Wiegmann, A.V. Zabrodin, Quantum Group and Magnetic Translations: Bethe-Ansatz Solution for Bloch Electrons in a Magnetic Field, cond-mat/9310017.
    55. L.B. Ioffe, P. Wiegmann, Negative magnetoresistance of the normal state of the doped Mott insulator, Phys. Rev. B 45 (1), 519-522 (1992).
    56. P. Wiegmann, Topological Superconductivity, Prog. Theor. Phys. Suppl. No 107, 243-279 (1992).
    57. S.D. Drell, S.P. Kapitza, J. Trân Thanhvân, P. Wiegmann, Sakharov Remembered: A Tribute by Friends and Colleagues and Andrei Sakharov: Facets of a Life (Books review), Phys. Today, 45(9), 71 (1992).
    58. L.B. Ioffe, V. Kalmeyer, P.B. Wiegmann, Hall coefficient of the doped Mott insulator: A signature of parity violation, Phys. Rev. B 43 (1), 1219-1222 (1991).
    59. D.V. Khveshchenko, P.B. Wiegmann, Gauge theory of antiferromagnetism in two dimensions for large rank symmetry group, Mod. Phys. Lett. B 4 (1), 17-28 (1990).
    60. L.B. Ioffe, P.B. Wiegmann, Linear temperature dependence of resistivity as evidence of gauge interaction, Phys. Rev. Lett. 65 (5), 653-656 (1990), WoS: A1990DQ99700033.
    61. P.B. Wiegmann, Parity violation and superconductivity in two-dimensional correlated electronic systems, Phys. Rev. Lett. 65(16), 2070-2073 (1990).
    62. N.Yu. Reshetikhin, P. Wiegmann, Towards the classification od completely integrable quantum field theories (the Bethe-Anzatz associated with Dynkin diagrams and their automorphism), Adv. Ser. Math. Phys., 10 [Yang-Baxter Equation in Integrable Systems. Ed. by Michio Jimbo], 619-628, World Sci. Publ., River Edge, NJ, 1990, 728 pp. ISBN: 978-981-02-0120-3.
    63. D.V. Khveshchenko, P.B. Wiegmann, Effective action of antiferromagnetism in two dimensions: Parity violating ground state and Hall effect, Mod. Phys. Lett. B 3(18), 1383-1392 (1989).
    64. P.B. Wiegmann, Multivalued functionals and geometrical approach for quantization of relativistic particles and strings, Nucl. Phys. B 323 (2), 311-329 (1989).
    65. P.B. Wiegmann, Extrinsic geometry of superstrings, Nucl. Phys. B 323 (2), 330-336 (1989).
    66. D. Khveshchenko, P.B. Wiegmann, Physical realization of the parity anomaly and quantum hall effect, Phys. Lett. B 225 (3), 279-283 (1989).
    67. Y. Hasegawa, P. Lederer, T.M. Rice, P.B. Wiegmann, Theory of electronic diamagnetism in two-dimensional lattices, Phys. Rev. Lett. 63 (8), 907-910 (1989), WoS: A1989AL23100024.
    68. P.B. Wiegmann, On the gauge theory of antiferromagnetism in two dimensions: neutral fermions, quantum Hall effect and physical realization of the parity anomaly, Physica Scripta, T27, 160-165 (1989).
    69. I. Dzyaloshinskii, A. Polyakov, P. Wiegmann, Neutral fermions in paramagnetic insulators, Phys. Lett. A 127 (2), 112-114 (1988), WoS: A1988M467100015, Scopus: 2-s2.0-0001358906.
    70. P.B. Wiegmann, Superconductivity in strongly correlated electronic systems and confinement versus deconfinement phenomenon, Phys. Rev. Lett. 60 (9), 821-824 (1988), WoS: A1988M206000018.
    71. P.B. Wiegmann, Towards a gauge theory of strongly correlated electronic systems, Physica C 153-155(Pt.1), 103-108 (1988).
    72. E. Ogievetsky, N. Reshetikhin, P. Wiegmann, The principal chiral field in two dimensions on classical lie algebras: The Bethe-ansatz solution and factorized theory of scattering, Nucl. Phys. B 280, 45-96 (1987), WoS: A1987F601600004.
    73. N.Yu. Reshetikhin, P.B. Weigmann, Towards the classification of completely integrable quantum field theories (the Bethe-Ansatz associated with dynkin diagrams and their automorphisms), Phys. Lett. B 189 (1-2), 125-131 (1987).
    74. P.B. Vigman, Vysokotemperaturnaya sverkhprovodimost’ v keramicheskikh metallooksidakh, Uspekhi fiz. nauk, 152 (4), 675-681 (1987) [P.B. Vigman, High-temperature superconductivity in metal-oxide ceramics, Sov. Phys. Usp. 30(8), 729-732 (1987)].
    75. P. Wiegmann, Exact solution of the non-linear σ-models, Helvetica Physica Acta, 59 (5), 907-908 (1986).
    76. E. Ogievetsky, P. Wiegmann, Factorized S-matrix and the Bethe ansatz for simple lie groups, Phys. Lett. B 168 (4), 360-366 (1986), WoS: A1986A800400012.
    77. A.M. Tsvelick, P.B. Wiegmann, Exact solution of the multichannel Kondo problem, scaling, and integrability, J. Stat. Phys., 38 (1-2), 125-147 (1985).
    78. P. VigmanB, Tochnoe reshenie O(3) -nelineinoi \sigma-modeli v dvukh izmereniyakh, Pis’ma v ZhETF, 41 (2), 79-83 (1985) [P.B. Wiegmann, Exact solution of the O(3) nonlinear two-dimensional \sigma-model, JETP Lett., 41 (2), 95-100 (1985)].
    79. G.I. Japaridze, A.A. Nersesyan, P.B. Wiegmann, Exact results in the two-dimensional U(1)-symmetric Thirring model, Nucl. Phys. B 230 (4), 511-547 (1984).
    80. P.B. Wiegmann, On the theory of nonabelian goldstone bosons in two dimensions; exact solution of the SU(N) ⊗ SU(N) nonlinear σ model, Phys. Lett. B 141 (3-4), 217-222 (1984).
    81. A.M. Polyakov, P.B. Wiegmann, Goldstone fields in two dimensions with multivalued actions, Phys. Lett. B 141 (3-4), 223-228 (1984), WoS: A1984SY60500014, Scopus: 2-s2.0-0042287529.
    82. P. Wiegmann, Exact factorized S-matrix of the chiral field in two dimensions, Phys. Lett. B 142 (3), 173-176 (1984).
    83. A.M. Tsvelick, P.B. Wiegmann, Solution of then-channel Kondo problem (scaling and integrability), Z. Physik B 54 (3), 201-206 (1984), WoS: A1984SG73700003.
    84. P.B. Vigman, Tochnoe reshenie SU(N)-glavnogo kiral’nogo polya v dvukh izmereniyakh, Pis’ma v ZhETF, 39 (4), 180-183 (1984) [P.B. Wiegmann, Exact solution for the SU(/V) main chiral field in two dimensions, JETP Lett., 39 (4), 214-218 (1984)].
    85. A.M. Tsvelick, P.B. Wiegmann, Exact results in the theory of magnetic alloys, Adv. Physics, 32 (4), 453-713 (1983), WoS: A1983SJ07900001.
    86. P.B. Wiegmann, A.M. Tsvelick, Exact solution of the Anderson model: I, J. Phys. C 16(12), 2281-2319 (1983).
    87. A.M. Tsvelick, P.B. Wiegmann, Exact solution of the Anderson model. II. Thermodynamic properties at finite temperatures, J. Phys. C 16(12), 2321-2336 (1983).
    88. E. Ogievetski, A.M. Tsvelick, P.B. Wiegmann, Exact solution of the degenerate Anderson model, J. Phys. C 16(22), L797-L802 (1983).
    89. G.I. Japaridze, A.A. Nersesyan, P.B. Wiegmann, Crossover from the strong-coupling to the weak-coupling regime in the SU(2)-symmetric Thirring model, Phys. Lett. A 94 (6-7), 254-258 (1983).
    90. A. Polyakov, P.B. Wiegmann, Theory of nonabelian goldstone bosons in two dimensions, Phys. Lett. B 131 (1-3), 121-126 (1983), WoS: A1983RS12400027, Scopus: 2-s2.0-0010828156.
    91. G.I. Japaridze, A.A. Nersesyan, P.B. Wiegmann, Regularized Integrable Version of the One-Dimensional Quantum Sine-Gordon Model, Physica Scripta, 27 (1), 5-7 (1983).
    92. P.B. Vigman, E.I. Ogievetskii, A.M. Tsvelik, Tochnoe reshenie vyrozhdennoi modeli Andersona, Pis’ma v ZhETF, 37(12), 580-583 (1983) [P.B. Vigman, Ogievetskii, A.M. Tsvelik, Exact solution of the degenerate Anderson model, JETP Lett., 37(12), 692-696 (1983)].
    93. P.B. Vigman, A.M. Tsvelik, Reshenie problemy Kondo dlya orbital’nogo singleta, Pis’ma v ZhETF, 38(10), 489-493 (1983) [P.B. Wiegmann, A.M. Tsvelik, Solution of the Kondo problem for an orbital singlet, JETP Lett., 38(10), 591-596 (1983)].
    94. A.M. Tsvelick, P.B. Wiegmann, Exact solution of the degenerate exchange model (Kondo problem for alloys with rare earth impurities), J. Phys. C 15 (8), 1707-1712 (1982).
    95. V.M. Filyov, A.M. Tsvelick, P.B. Wiegmann, Low-temperature thernodynamics of the Anderson model. I. Symmetric case, Phys. Lett. A 89 (3), 157-162 (1982).
    96. A.M. Tsvelick, P.B. Wiegmann, Low-temperature properties of the asymmetric Anderson model (exact solution) II, Phys. Lett. A 89 (7), 368-372 (1982).
    97. P.B. Vigman, V.M. Filev, A.M. Tsvelik, Reshenie simmetrichnoi modeli Andersona pri T=0, Pis’ma v ZhETF, 35 (2), 77-81 (1982) [P.B. Vigman, V.M. Filev, A.M. Tsvelik, Solution of the symmetric Anderson model at T=0, JETP Lett., 35 (2), 92-96 (1982)].
    98. P.B. Vigman, A.M. Tsvelik, Reshenie asimmetrichnoi modeli Andersona pri T= 0, Pis’ma v ZhETF, 35 (3), 100-103 (1982) [P.B. Vigman, A.M. Tsvelik, Solution of the Anderson asymmetric model at T= 0, JETP Lett., 35 (3), 120-124 (1982)].
    99. P.B. Vigman, Tochnoe reshenie problemy Kondo, Uspekhi fiz. nauk, 136 (3), 533-535 (1982) [B.Wi. Pavelgman, Exact solution of the Kondo problem, Sov. Phys. Usp. 25(3), 183-184 (1982)].
    100. P.B. Wiegmann, Exact solution of the s-d exchange model (Kondo problem), J. Phys. C 14(10),1463-1478 (1981).
    101. V.M. Filyov, A.M. Tzvelik, P.B. Wiegmann, Thermodynamics of the s-d exchange model (Kondo problem), Phys. Lett. A 81 (2-3), 175-178 (1981).
    102. V.A. Fateev, P.B. Wiegmann, The exact solution of the s-d exchange model with arbitrary impurity spin S (Kondo problem), Phys. Lett. A 81 (2-3), 179-184 (1981).
    103. V.A. Fateev, P.B. Wiegmann, Thermodynamics of the s-d Exchange Model with Arbitrary Impurity Spin (Kondo Problem), Phys. Rev. Lett. 46(24), 1595-1598 (1981).
    104. P.B. Wiegmann, A.M. Tsvelick, Exact solution of Kondo problem for alloys with rare-earth impurities, Physica B+C 107 (1-3), 379-380 (1981).
    105. V.M. Filyov, P.B. Wiegmann, A method for solving the Kondo problem, Phys. Lett. A 76 (3-4), 283-286 (1980).
    106. P.B. Wiegmann, Towards an exact solution of the Anderson model, Phys. Lett. A 80 (2-3), 163-167 (1980).
    107. P.B. Vigman, Tochnoe reshenie s -d obmennoi modeli pri T = 0, Pis’ma v ZhETF, 31 (7), 392-398 (1980) [P.B. Vigman, Exact solution of s-d exchange model at T = 0, JETP Lett., 31 (7), 364-370 (1980)].
    108. P.B. Wiegmann, One-dimensional Fermi system and plane xy model, J. Phys. C 11 (8), 1583-1598 (1978).
    109. P.B. Vigman, A.M. Finkel’shtein, Model’ rezonansnogo urovnya v probleme Kondo, ZhETF, 75 (1), 204-216 (1978) [P.B. Vigman, A.M. Finkel’shtein, Resonant-level model in the Kondo problem, Sov. Phys. JETP 48(1), 102-107 (1978)].
    110. P.B. Vigman, A.I. Larkin, Massa chastits v odnomernoi modeli s chetyrekhfermionnym vzaimodeistviem, ZhETF, 72 (3), 857-864 (1977) [P.B. Vigman, A.I. Larkin, Mass of particles in a one-dimensional model with four-fermion interaction, Sov. Phys. JETP 45(3), 448-451 (1977)].
    111. P.B. Vigman, A.I. Larkin, V.M. Filev, Izolirovannaya tochka na krivoi perekhoda pervogo roda, ZhETF, 68 (5), 1883-1893 (1975) [P.B. Vigman, A.I. Larkin, V.M. Filev, Isolated point on a first-order transition curve, Sov. Phys. JETP 41(5), 944-948 (1975)].
    112. P.B. Vigman, V.M. Filev, Fazovyi perekhod kholestericheskogo zhidkogo kristalla v smekticheskii, ZhETF, 69 (4), 1466-1472 (1975) [P.B. Vigman, V.M. Filev, Phase transition of a cholesteric liquid crystal to a smectic, Sov. Phys. JETP 42(4), 747-750 (1975)].
    113. P.B. Vigman, A.I. Larkin, V.M. Filyov, Spontannoe narushenie simmetrii pervogo roda, Yadernaya fizika, 22(6), 1255-1264 (1975) [P.B. Vigman, A.I. Larkin, V.M. Filëv, Spontaneous symmetry breaking of the first kind, Sov. J. Nucl. Phys., 22 (6), 652-656 (1975)].