V. Ch. Zhukovskii, K. G. Klimenko, “Magnetic Catalysis of the $\operatorname{P}$-Parity-Breaking Phase Transition of the First Order and High-Temperature Superconductivity”, TMF, 134:2 (2003), 289–309; Theoret. and Math. Phys., 134:2 (2003), 254

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Teoreticheskaya i Matematicheskaya Fizika, 2003, Volume 134, Number 2, Pages 289–309
DOI: https://doi.org/10.4213/tmf158 (Mi tmf158)

This article is cited in 17 scientific papers (total in 17 papers)

Magnetic Catalysis of the $\operatorname{P}$-Parity-Breaking Phase Transition of the First Order and High-Temperature Superconductivity

V. Ch. Zhukovskii^a, K. G. Klimenko^b

^a M. V. Lomonosov Moscow State University
^b Institute for High Energy Physics

Full-text PDF (332 kB) Citations (17)

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DOI: https://doi.org/10.4213/tmf158

Abstract: In the framework of a $(2+1)$-dimensional $\operatorname{P}$-even gauge theory based on the massive Gross–Neveu model, we show that an external magnetic field induces the P-parity-breaking phase transition of the first order. A dynamical generation of the Chern–Simons term and fractional particle spin and statistics occurs at the critical point. The results in the paper can be interesting in connection with recently discovered phase transitions in high-temperature superconductors.

Keywords: phase transitions, magnetic catalysis, high-temperature superconductivity.

Received: 16.01.2002
Revised: 18.07.2002

English version:
Theoretical and Mathematical Physics, 2003, Volume 134, Issue 2, Pages 254–270
DOI: https://doi.org/10.1023/A:1022284205855

Bibliographic databases:

Language: Russian

Citation: V. Ch. Zhukovskii, K. G. Klimenko, “Magnetic Catalysis of the $\operatorname{P}$-Parity-Breaking Phase Transition of the First Order and High-Temperature Superconductivity”, TMF, 134:2 (2003), 289–309; Theoret. and Math. Phys., 134:2 (2003), 254–270

Citation in format AMSBIB

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Linking options:

https://www.mathnet.ru/eng/tmf158

https://doi.org/10.4213/tmf158

https://www.mathnet.ru/eng/tmf/v134/i2/p289

This publication is cited in the following 17 articles:

Khunjua T.G., Klimenko K.G., Zhokhov R.N., “Spontaneous Non-Hermiticity in the (2+1)-Dimensional Gross-Neveu Model”, Phys. Rev. D, 105:2 (2022), 025014
M. M. Gubaeva, T. G. Khunjua, K. G. Klimenko, R. N. Zhokhov, “Spontaneous non-Hermiticity in the (2+1)-dimensional Thirring model”, Phys. Rev. D, 106:12 (2022)
T. G. Khunjua, K. G. Klimenko, R. N. Zhokhov, “Hartree-Fock approach to dynamical mass generation in the generalized ( 2+1 )-dimensional Thirring model”, Phys. Rev. D, 106:8 (2022)
Zhukovsky V.Ch., Klimenko K.G., Khunjua T.G., “Superconductivity in Chiral-Asymmetric Matter Within the (2+1)-Dimensional Four-Fermion Model”, Mosc. Univ. Phys. Bull., 72:3 (2017), 250–256
Ebert D. Klimenko K.G. Kolmakov P.B. Zhukovsky V.Ch., “Phase transitions in hexagonal, graphene-like lattice sheets and nanotubes under the influence of external conditions”, Ann. Phys., 371 (2016), 254–286
Ebert D. Khunjua T.G. Klimenko K.G. Zhukovsky V.C., Phys. Rev. D, 93:10 (2016), 105022
Zhukovsky V.Ch. Klimenko K.G., “The Phase Structure of a Generalized Gross–Neveu Model in (2+1)-Dimensional Space–Time”, Mosc. Univ. Phys. Bull., 70:6 (2015), 466–472
Vladimir A. Miransky, Igor A. Shovkovy, “Quantum field theory in a magnetic field: From quantum chromodynamics to graphene and Dirac semimetals”, Physics Reports, 576 (2015), 1
D. Ebert, T. G. Khunjua, K. G. Klimenko, V. Ch. Zhukovsky, “Interplay between superconductivity and chiral symmetry breaking in a (2+1)-dimensional model with a compactified spatial coordinate”, Phys. Rev. D, 91:10 (2015)
Klimenko K.G. Zhokhov R.N. Zhukovsky V.Ch., “Superconductivity Phenomenon Induced by External in-Plane Magnetic Field in (2+1)-Dimensional Gross-Neveu Type Model”, Mod. Phys. Lett. A, 28:23 (2013), 1350096
Klimenko K.G. Zhokhov R.N., “Magnetic Catalysis Effect in the (2+1)-Dimensional Gross-Neveu Model with Zeeman Interaction”, Phys. Rev. D, 88:10 (2013), 105015
Igor A. Shovkovy, Lecture Notes in Physics, 871, Strongly Interacting Matter in Magnetic Fields, 2013, 13
Klimenko K.G. Zhokhov R.N. Zhukovsky V.Ch., “Superconducting Phase Transitions Induced by Chemical Potential in (2+1)-Dimensional Four-Fermion Quantum Field Theory”, Phys. Rev. D, 86:10 (2012), 105010
de la Incera V., “Nonperturbative Physics in a Magnetic Field”, XII Mexican Workshop on Particles and Fields, AIP Conference Proceedings, 1361, 2011, 74–82
Ferrer, EJ, “Dynamically generated anomalous magnetic moment in massless QED”, Nuclear Physics B, 824:1–2 (2010), 217
Klimenko, KG, “Does there arise a significant enhancement of the dynamical quark mass in external magnetic field?”, Physics Letters B, 665:5 (2008), 352
Ebert, D, “Quark droplets stability induced by external magnetic field”, Nuclear Physics A, 728:1–2 (2003), 203

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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