A. V. Mikheenkov, A. V. Shvartsberg, A. F. Barabanov, “Phase transitions in the 2D $J_1$–$J_2$ Heisenberg model with arbitrary signs of exchange interactions”, Pis'ma v Zh. Èksper. Teoret. Fiz., 98:3 (2013), 178–182; JETP Letters, 98:3 (2013), 156

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Pis'ma v Zhurnal Èksperimental'noi i Teoreticheskoi Fiziki, 2013, Volume 98, Issue 3, Pages 178–182
DOI: https://doi.org/10.7868/S0370274X13150071 (Mi jetpl3486)

This article is cited in 11 scientific papers (total in 11 papers)

CONDENSED MATTER

Phase transitions in the 2D

J_{1}

$J_1$ –

J_{2}

$J_2$ Heisenberg model with arbitrary signs of exchange interactions

A. V. Mikheenkov^ab, A. V. Shvartsberg^b, A. F. Barabanov^a

^a Institute for High Pressure Physics, Russian Academy of Sciences
^b Moscow Institute of Physics and Technology

Full-text PDF (461 kB) Citations (11)

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DOI: https://doi.org/10.7868/S0370274X13150071

Abstract: The ground state of the

J_{1}

$J_1$ –

J_{2}

$J_2$ Heisenberg model with arbitrary signs of exchange is studied for spin

S = 1 / 2

$S = 1/2$ in the case of the two-dimensional (2D) square lattice. The states with different types of spin long-range order (antiferromagnetic checkerboard, stripe, collinear ferromagnetic) as well as the disordered spin liquid states are described in the framework of one analytical approach. In particular, it is shown that the phase transition between the ferromagnetic spin liquid and the ferromagnet with long-range order is of the second order. In the vicinity of such transition, we have found the ferromagnetic state with a rapidly varying condensate function.

Received: 14.06.2013

English version:
Journal of Experimental and Theoretical Physics Letters, 2013, Volume 98, Issue 3, Pages 156–160
DOI: https://doi.org/10.1134/S0021364013160121

Bibliographic databases:

Document Type: Article

Language: Russian

Citation: A. V. Mikheenkov, A. V. Shvartsberg, A. F. Barabanov, “Phase transitions in the 2D

J_{1}

$J_1$ –

J_{2}

$J_2$ Heisenberg model with arbitrary signs of exchange interactions”, Pis'ma v Zh. Èksper. Teoret. Fiz., 98:3 (2013), 178–182; JETP Letters, 98:3 (2013), 156–160

Citation in format AMSBIB

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\pages 178--182

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\jour JETP Letters

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\pages 156--160

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Linking options:

https://www.mathnet.ru/eng/jetpl3486

https://www.mathnet.ru/eng/jetpl/v98/i3/p178

This publication is cited in the following 11 articles:

Bo-chen Li, Wei Wang, Chinese Journal of Physics, 87 (2024), 525
Taras Hutak, Taras Krokhmalskii, Oleg Derzhko, Johannes Richter, Eur. Phys. J. B, 96:4 (2023)
Verena Feulner, Michael J. Hartmann, Phys. Rev. B, 106:14 (2022)
Taras Hutak, Taras Krokhmalskii, Oleg Derzhko, Johannes Richter, Eur. Phys. J. B, 95:6 (2022)
Mikheyenkov A.V. Valiulin V.E. Barabanov A.F., Physica B, 599 (2020), 412533
Mueller P., Lohmann A., Richter J., Derzhko O., Phys. Rev. B, 100:2 (2019), 024424
P. Mueller, A. Zander, J. Richter, Phys. Rev. B, 98:2 (2018), 024414
P. Mueller, A. Lohmann, J. Richter, O. Menchyshyn, O. Derzhko, Phys. Rev. B, 96:17 (2017), 174419
Mikheyenkov A.V. Shvartsberg A.V. Valiulin V.E. Barabanov A.F., J. Magn. Magn. Mater., 419 (2016), 131–139
Mikheyenkov A.V. Valiullin V.E. Shvartsberg A.V. Barabanov A.F., J. Exp. Theor. Phys., 121:3 (2015), 446–456
M. Yu. Kagan, K. I. Kugel', A. V. Mikheenkov, A. F. Barabanov, JETP Letters, 100:3 (2014), 187–191

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

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