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


          

刊名:Low Temperature Physics
作者: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)
M. K. Ramazanov(Institute of Physics of the Dagestan Science Centerof the Russian Academy of Sciences)
M. K. Badiev(Institute of Physics of the Dagestan Science Center of the Russian Academy of Sciences)
刊号:534B0059
ISSN:1063-777X
出版年:2009
年卷期:2009, vol.35, no.7
页码:521-525
总页数:5
分类号:TB13
语种:eng
文摘: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 α=0.05(2); magnetization β=0.30(1), β_k=0.52(2); susceptibility γ=1.36(2), γ_k =0.93(3); and, correlation radius v=0.64(1), v_k=0.64(2). The critical Fisher indices η=-0.06(3) and η_k=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.