Abstract
The phase diagram of the ground state is obtained for the one-dimensional easy-axis model of classical spins coupled by ferromagnetic and antiferromagnetic exchanges between nearest and next-nearest neighbors, respectively. The parameters of the incommensurate magnetic structure with a variable step (soliton lattice) are calculated in the mean field approximation from the condition of the collinearity of spins to the effective exchange fields in the continuous approximation. The ground state of the soliton lattice and interfaces between soliton and collinear (ferromagnetic and “up–up–down–down”) phases are determined by the numerical minimization of the average energy over the initial angular velocity of spins.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
L. Balents, Nature (London) 464, 199 (2010), Introduction to Frustrated Magnetism, Ed. by C. Lacroix, P. Mendels, and F. Mila (Springer, New York, 2011).
F. D. M. Haldane, Phys. Rev. B 25, 4925 (1982).
T. Tonegawa and I. Harada, J. Phys. Soc. Jpn. 56, 2153 (1987).
A. V. Chubukov, Phys. Rev. B 44, 4693 (1991).
K. Nomura and K. Okamoto, J. Phys. A: Math. Gen. 27, 5773 (1994).
T. Hikihara, M. Kaburagi, and H. Kawamura, Phys. Rev. B 63, 174430 (2001).
R. D. Somma and A. A. Aligia, Phys. Rev. B 64, 024410 (2001).
S. Furukawa, M. Sato, and A. Furusaki, Phys. Rev. B 81, 094430 (2010).
J. Sirker, V. Y. Krivnov, D. V. Dmitriev, A. Herzog, O. Janson, S. Nishimoto, S.-L. Drechsler, and J. Richter, Phys. Rev. B 84, 144403 (2011).
A. A. Zvyagin and S.-L. Drechsler, Phys. Rev. B 78, 014429 (2008).
J. Igarashi, J. Phys. Soc. Jpn. 58, 4600 (1989).
T. Tonegawa, I. Harada, and J. Igarashi, Progr. Theor. Phys. Suppl. 101, 513 (1990).
S. Furukawa, M. Sato, S. Onoda, and A. Furusaki, Phys. Rev. B 86, 094417 (2012).
M. Hase, H. Kuroe, K. Ozawa, O. Suzuki, H. Kitazawa, G. Kido, and T. Sekine, Phys. Rev. B 70, 104426 (2004).
V. Ya. Krivnov and D. V. Dmitriev, Russ. J. Phys. Chem. 88, 1914 (2014).
S.-W. Cheong and M. Mostovoy, Nat. Mater. 6, 13 (2007).
S. Furukawa, M. Sato, and S. Onoda, Phys. Rev. Lett. 105, 257205 (2010).
D. V. Dmitriev and V. Ya. Krivnov, Phys. Rev. B 81, 054408 (2010).
Yu. A. Izyumov, Neutron Diffraction on Long-Period Structures (Energoatomizdat, Moscow, 1987) [in Russian].
S. N. Martynov, V. I. Tugarinov, and A. S. Martynov, J. Magn. Magn. Mater. (2016), doi 10.1016/j.jmmm.2016.12.086
S. N. Martynov, Phys. Solid State 47, 678 (2005).
S. N. Martynov, JETP Lett. 102, 100 (2015).
S. N. Martynov, J. Magn. Magn. Mater. 398, 121 (2016).
T. A. Kaplan and N. Menyuk, Philos. Mag. 87, 3711 (2007).
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © S.N. Martynov, V.I. Tugarinov, 2017, published in Pis’ma v Zhurnal Eksperimental’noi i Teoreticheskoi Fiziki, 2017, Vol. 106, No. 1, pp. 34–38.
Rights and permissions
About this article
Cite this article
Martynov, S.N., Tugarinov, V.I. Phase diagram of the ground state of a classical anisotropic frustrated ferromagnet. Jetp Lett. 106, 30–34 (2017). https://doi.org/10.1134/S0021364017130124
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S0021364017130124