The critical properties of the 3D frustrated Heisenberg model on a layered triangular lattice are investigated by the Monte Carlo method. The theory of finite-size scaling is used to calculate the magnetic and chiral critical exponents of the specific heat , susceptibility , magnetization , and correlation length . It is shown that the 3D frustrated Heisenberg model on a layered triangular lattice forms a new universality class of critical behavior.
REFERENCES
1.
A. Z.
Patashinskiĭ
and V. L.
Pokrovskiĭ
, Fluctuation Theory of Phase Transitions
, transl. of 1st Russ. ed., Pergamon Press
, Oxford (1979
), cited 2nd Russ. ed., Nauka
, Moscow (1983
).2.
3.
I. K.
Kamilov
, A. K.
Murtazaev
, and Kh. K.
Aliev
, Usp. Fiz. Nauk
169
, 773
(1999
).4.
D.
Loison
, A. I.
Sokolov
, B.
Delamotte
, S. A.
Antonenko
, K. D.
Schotte
, and H. T.
Diep
, JETP Lett.
72
, 337
(2000
).5.
H. J.
Kavamura
, J. Phys. Soc. Jpn.
56
, 474
(1987
).6.
H. J.
Kavamura
, J. Phys. Soc. Jpn.
61
, 1299
(1992
).7.
A.
Mailhot
, M. L.
Plumer
, and A.
Caille
, Phys. Rev. B
50
, 6854
(1994
).8.
9.
I. K.
Kamilov
and Kh. K.
Aliev
, Static Critical Phenomena in Magnetically Ordered Crystals
[in Russian], Izd-vo DNTs RAN
, Makhachkala (1993
).10.
U.
Wolf
, Phys. Rev. Lett.
62
, 361
(1989
).11.
U.
Wolf
, Nucl. Phys. B
322
, 759
(1989
).12.
A. M.
Ferrenberg
and R. N.
Swendsen
, Phys. Rev. Lett.
61
, 2635
(1988
).13.
A. M.
Ferrenberg
and R. N.
Swendsen
, Phys. Rev. Lett.
63
, 1195
(1989
).14.
D.
Kandel
, R.
Ben-Av
, and E.
Domany
, Phys. Rev. Lett.
65
, 941
(1990
).15.
D.
Kandel
, R.
Ben-Av
, and E.
Domany
, Phys. Rev. B
45
, 4700
(1992
).16.
P. D.
Coddington
and L.
Hang
, cond-mat/9402030 V1 (1994
).17.
K.
Binder
(ed.), Monte Carlo Methods in Statistical Physics
, Springer-Verlag
, Berlin (1979
), Mir
, Moscow (1982).18.
K.
Binder
and J.-Sh.
Wang
, J. Stat. Phys.
55
, 87
(1989
).19.
P.
Peczak
, A. M.
Ferrenberg
, and D. P.
Landau
, Phys. Rev. B
43
, 6087
(1991
).20.
K.
Binder
and D. W.
Heerman
, Monte-Carlo Simulations in Statistical Physics
, Vol. 80 of Springer Series in Solid State Sciences, Berlin (1988)
Nauka
, Moscow (1995
).21.
K.
Binder
, Phys. Rev. Lett.
47
, 693
(1981
).22.
K.
Binder
, Z. Phys. B: Condens. Matter
43
, 119
(1981
).23.
A. M.
Ferrenberg
and D. P.
Landau
, Phys. Rev. B
44
, 5081
(1991
).24.
E.
Ferdinand
and M. E.
Fisher
, Phys. Rev.
185
, 832
(1969
).25.
M. E.
Fisher
and M. N.
Barber
, Phys. Rev. Lett.
28
, 1516
(1972
).26.
D. P.
Landau
, Physica A
205
, 41
(1994
).27.
D.
Loison
, Phys. Lett. A
257
, 83
(1999
).28.
A. K.
Murtazaev
, I. K.
Kamilov
, and M. A.
Magomedov
, Zh. Éksp. Teor. Fiz.
120
, 1535
(2001
)A. K.
Murtazaev
, I. K.
Kamilov
, and M. A.
Magomedov
, [JETP
93
, 1330
(2001
)].29.
A. K.
Murtazaev
, I. K.
Kamilov
, and M. K.
Ramazanov
, Fiz. Tverd. Tela (St. Petersburg)
47
, 1125
(2005
)A. K.
Murtazaev
, I. K.
Kamilov
, and M. K.
Ramazanov
, [Phys. Solid State
47
, 1163
(2005
)].© 2006 American Institute of Physics.
2006
American Institute of Physics
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