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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 $J_1$–$J_2$ Heisenberg model with arbitrary signs of exchange interactions

A. V. Mikheenkovab, A. V. Shvartsbergb, A. F. Barabanova

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 $J_1$–$J_2$ Heisenberg model with arbitrary signs of exchange is studied for spin $S = 1/2$ 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 $J_1$–$J_2$ 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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    • This publication is cited in the following 11 articles:
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