Abstract
Using Monte Carlo simulations, we study the critical behavior of two models of frustrated XY antiferromagnets with a collinear spin ordering and with an additional twofold degeneracy of the ground state. We consider a classic antiferromagnet on a body-centered cubic lattice with an additional antiferromagnetic exchange interaction between next-nearest spins, and a ferromagnet with an extra antiferromagnetic intralayer exchange. In both models, a single first-order transition in the discrete and continuous order parameters is found. Observed critical pseudo-exponents are in agreement with exponents of XYmagnets with a planar spin ordering like a stacked-triangular antiferromagnet and helimagnets belonging to the same symmetry class. A possible explanation of the pseudo-scaling behavior is also discussed.
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References
D. Loison, in Frustrated Spin Systems, Ed. by H. T. Diep (World Scientific, Singapore, 2004), Chap. 4, p. 177.
A. O. Sorokin and A. V. Syromyatnikov, Solid State Phenom. 190, 63 (2012).
H. Kawamura, J. Appl. Phys. 63, 3086 (1988).
B. Delamotte, D. Mouhanna, and M. Tissier, Phys. Rev. B 69, 134413 (2004).
M. Itakura, J. Phys. Soc. Jpn. 72, 74 (2003).
A. Peles, B. W. Southern, B. Delamotte, D. Mouhanna, and M. Tissier, Phys. Rev. B 69, 220408 (2004).
V. T. Ngo and H. T. Diep, J. Appl. Phys. 103, 07C712 (2008).
G. Zumbach, Phys. Rev. Lett. 71, 2421 (1993).
G. Zumbach, Phys. Lett. A 190, 225 (1994).
G. Zumbach, Nucl. Phys. B 413, 771 (1994).
S. A. Antonenko, A. I. Sokolov, and K. B. Varnashev, Phys. Lett. A 208, 161 (1995).
A. Pelissetto, P. Rossi, and E. Vicari, Nucl. Phys. B 607, 605 (2001).
P. Calabrese and P. Parruccini, Nucl. Phys. B 679, 568 (2004).
M. Tiesser, B. Delamotte, and D. Mouhanna, Phys. Rev. Lett. 84, 5208 (2000).
M. Tiesser, B. Delamotte, and D. Mouhanna, Phys. Rev. B 67, 134422 (2003).
A. I. Larkin and S. A. Pikin, Sov. Phys. JETP 29, 891 (1969).
P. Peczak and D. P. Landau, Phys. Rev. B 39, 11932 (1989).
S. Iino, S. Morita, A. W. Sandvik, and N. Kawashima, arXiv: 1801.02786.
D. Loison and K. D. Schotte, Eur. Phys. J. B 5, 735 (1998).
E. F. Shender, Sov. Phys. JETP 56, 178 (1982).
C. L. Henley, Phys. Rev. Lett. 62, 2056 (1989).
C. Pinettes and H. T. Diep, J. Appl. Phys. 83, 6318 (1998).
V. T. Ngo, D. T. Hoang, and H. T. Diep, Phys. Rev. E 82, 041123 (2010).
C. L. Henley, J. Appl. Phys. 61, 3962 (1986).
H. T. Diep and H. Kawamura, Phys. Rev. B 40, 7019 (1989).
H. T. Diep, Phys. Rev. B 45, 2863 (1992).
D. T. Hoang and H. T. Diep, Phys. Rev. E 85, 041107 (2012).
D. Loison and H. T. Diep, J. Appl. Phys. 73, 5642 (1993).
E. H. Boubcheur, D. Loison, and H. T. Diep, Phys. Rev. B 54, 4165 (1996).
A. O. Sorokin, Phys. Lett. A 382, 3455 (2018).
D. Loison and P. Simon, Phys. Rev. B 61, 6114 (2000).
S. E. Korshunov, Phys. Usp. 49, 225 (2006).
A. O. Sorokin and A. V. Syromyatnikov, Phys. Rev. B 85, 174404 (2012).
A. O. Sorokin and A. V. Syromyatnikov, JETP Lett. 96, 410 (2012).
F. R. Brown and T. J. Woch, Phys. Rev. Lett. 58, 2394 (1987).
M. Creutz, Phys. Rev. D 36, 515 (1987).
K. Binder, Z. Phys. B 43, 119 (1981).
K. Binder, Phys. Rev. Lett. 47, 693 (1981).
A. M. Ferrenberg and D. P. Landau, Phys. Rev. B 44, 5081 (1991).
A. O. Sorokin, J. Exp. Theor. Phys. 118, 417 (2014).
A. O. Sorokin and A. V. Syromyatnikov, J. Exp. Theor. Phys. 113, 673 (2011).
P. Calabrese, A. Pelissetto, and E. Vicari, Phys. Rev. B 67, 054505 (2003).
A. Eichhorn, D. Mesterhazy, and M. M. Scherer, Phys. Rev. E 88, 042141 (2013).
H. Kawamura, J. Phys. Soc. Jpn. 61, 1299 (1992).
M. L. Plumer and A. Mailhot, Phys. Rev. B 50, 16113 (1994).
S. Fujimoto, Phys. Rev. B 73, 184401 (2006).
A. Pelissetto and E. Vicari, Phys. Rep. 368, 549 (2002).
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Sorokin, A.O. Ising-XY Transition in Three-dimensional Frustrated Antiferromagnets with Collinear Spin Ordering. Jetp Lett. 109, 419–423 (2019). https://doi.org/10.1134/S0021364019060055
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DOI: https://doi.org/10.1134/S0021364019060055