Abstract
Two models of classic XY antiferromagnets in three dimensions are studied by Monte Carlo simulation: the model on a simple cubic lattice with two extra intralayer exchanges and the model on a stackedtriangular lattice with an extra interlayer exchange. In suggested models, the order parameters are magnetization and two chiral parameters. A transition corresponds to breaking ℤ2 ⊗ ℤ2 ⊗ SO(2) symmetry. A distinct first order transition is found in both models.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
N. D. Mermin, Rev. Mod. Phys. 51, 591 (1979).
J. Villain, R. Bidaux, J.-P. Carton, and R. Conte, J. Phys. (Paris) 41, 1263 (1980).
D. Loison, in Frustrated Spin Systems, Ed. by H. T. Diep (World Scientific, Singapore, 2004), Part 4, p. 177.
C. L. Henley, Phys. Rev. Lett. 62, 2056 (1989).
E. H. Boubcheur, D. Loison, and H. T. Diep, Phys. Rev. B: Condens. Matter 54, 4165 (1996).
G. Zumbach, Phys. Rev. Lett. 71, 2421 (1993); G. Zumbach, Nucl. Phys. B 413, 771 (1994).
B. Delamotte, D. Mouhanna, and M. Tissier, Phys. Rev. B: Condens. Matter 67, 134422 (2003).
H. Kawamura, J. Phys. Soc. Jpn. 55, 2095 (1986); H. Kawamura, J. Phys. Soc. Jpn. 61, 1299 (1992); M. L. Plumer and A. Mailhot, Phys. Rev. B: Condens. Matter 50, 16113 (1994).
M. Itakura, J. Phys. Soc. Jpn. 72, 74 (2003); K. Kanki, D. Loison, and K. D. Schotte, J. Phys. Soc. Jpn. 75, 015001 (2006); V. Thanh Ngo and H. T. Diep, J. Appl. Phys. 103, 07C712 (2008).
H. T. Diep, Phys. Rev. B: Condens. Matter 39, 397 (1989).
H. T. Diep, A. Ghazali, and P. Lallemand, J. Phys. C: Solid State Phys. 18, 5881 (1985); V. Thang Ngo, D. Tien Hoang, and H. T. Diep, Phys. Rev. E 82, 041123 (2010).
H. Kunz and G. Zumbach, J. Phys. A: Math. Gen. 26, 3121 (1993).
D. Loison and K. D. Schotte, Eur. Phys. J. B 5, 735 (1998).
H. T. Diep and H. Kawamura, Phys. Rev. B: Condens. Matter 40, 7019 (1989).
A. O. Sorokin and A. V. Syromyatnikov, Preprint No. 2854, PIYaF (St. Petersburg Nuclear Physics Institute, St. Petersburg, 2010); A. O. Sorokin and A. V. Syromyatnikov, Zh. Eksp. Teor. Phys. 139, 1148 (2011) [JETP 112 (6), 1004 (2011)].
K. Binder, Z. Phys. B: Condens. Matter 43, 119 (1981).
J. Lee and J. M. Kosterlitz, Phys. Rev. B: Condens. Matter 43, 1268 (1991).
C. Fan, Phys. Lett. A 39, 136 (1972).
R. V. Ditzian, J. R. Banavar, G. S. Grest, and L. P. Kadanoff, Phys. Rev. B: Condens. Matter 22, 2542 (1980).
P. Arnold and Y. Zhang, Nucl. Phys. B 501, 803 (1997).
Author information
Authors and Affiliations
Corresponding author
Additional information
The article was translated by the authors.
Original Russian Text © A.O. Sorokin, A.V. Syromyatnikov, 2011, published in Zhurnal Eksperimental’noi i Teoreticheskoi Fiziki, 2011, Vol. 140, No. 4, pp. 771–776.
Rights and permissions
About this article
Cite this article
Sorokin, A.O., Syromyatnikov, A.V. Transitions in three-dimensional XY magnets with two chiral order parameters. J. Exp. Theor. Phys. 113, 673–677 (2011). https://doi.org/10.1134/S1063776111100074
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1063776111100074