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Monte Carlo investigation of the critical properties of a three-dimensional frustrated Heisenberg model on a triangular lattice

Low Temp. Phys. 35, 521 (2009); doi:10.1063/1.3168637

Issue Date: July 2009

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A. K. Murtazaev
Institute of Physics of the Dagestan Science Center of the Russian Academy of Sciences, ul. M. Yaragskogo 94, Makhachkala 367003, Republic of Dagestan, Russia and Dagestan State University, Makhachkala 367025, Republic of Dagestan, Russian

M. K. Ramazanov
Institute of Physics of the Dagestan Science Center of the Russian Academy of Sciences, ul. M. Yaragskogo 94, Makhachkala 367003, Republic of Dagestan, Russia

M. K. Badiev
Institute of Physics of the Dagestan Science Center of the Russian Academy of Sciences, ul. M. Yaragskogo 94, Makhachkala 367003, Republic of Dagestan, Russia
The Monte Carlo replica method is used to investigate the critical properties of a three-dimensional frustrated antiferromagnetic Heisenberg model on a triangular lattice. The static magnetic and chiral critical exponents are calculated within the theory of finite-dimensional scaling: specific heat alpha=0.05(2); magnetization beta=0.30(1), betak=0.52(2); susceptibility gamma=1.36(2), gammak=0.93(3); and, correlation radius nu=0.64(1), nuk=0.64(2). The critical Fisher indices eta=−0.06(3) and etak=0.63(4) for this model are calculated for the first time. It is shown that the three-dimensional frustrated Heisenberg model on a triangular lattice forms a new universality class of critical behavior. It is found that the universality class of the antiferromagnetic Heisenberg model on a triangular lattice depends on the type of interlayer exchange interaction. ©2009 American Institute of Physics
History: Submitted 5 January 2009; revised 10 February 2009
Permalink: http://link.aip.org/link/?LTPHEG/35/521/1
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KEYWORDS and PACS

Keywords
PACS
  • 75.40.Cx
    Static properties of magnetic materials
  • 75.30.Cr
    Saturation moments and magnetic susceptibilities in magnetically ordered materials
  • 75.30.Et
    Exchange and superexchange interactions in magnetically ordered materials
  • 75.10.Jm
    Quantized spin models (magnetism)
  • 75.30.Kz
    Magnetic phase boundaries
  • 75.60.Ej
    Magnetization curves, hysteresis, Barkhausen and related effects
  • YEAR: 2009

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ISSN:
1063-777X (print)   1090-6517 (online)
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