Abstract
The phase diagram of the ground state has been calculated for a rhombohedral antiferromagnet of the R3m symmetry with frustrated exchange in the base plane and competition of exchanges between the nearest and next-nearest planes. The diagram contains phases of collinear antiferromagnetic ordering of various types separated by five incommensurate magnetic states of the helicoidal type, differing in the ordering type and in the direction of the modulation vector. The commensurate and incommensurate phases converge at multi-critical points lying on a line corresponding to an antiferromagnet with an undistorted simple cubic lattice.
Similar content being viewed by others
References
T. Kimura, T. Goto, H. Shintani, et al., Nature (London) 423, 55 (2003); S.-W. Cheong and M. Mostovoy, Nature Mater. 6, 13 (2007).
H. Katsura, N. Nagaosa, and A. V. Balatsky, Phys. Rev. Lett. 95, 057205 (2005); M. Mostovoy, Phys. Rev. Lett. 96, 067601 (2006); A. S. Moskvin, Yu. D. Panov, and S.-L. Drechsler, Phys. Rev. B 79, 104112 (2009).
I. A. Sergienko and E. Diagotto, Phys. Rev. B 73, 094434 (2006).
T. Arima, J. Phys. Soc. Jpn. 76, 073702 (2007).
Yu. A. Izyumov, Neutron Diffraction in Long Periodic Structures (Energoatomizdat, Moscow, 1987) [in Russian].
T. Matsuda, A. Zheludev, B. Roessli, et al., Phys. Rev. B 72, 014405 (2005); S. Park, Y. I. Choi, C. I. Zhang, and S. W. Cheong, Phys. Rev. Lett. 98, 057601 (2007); Y. Naito, K. Sato, Y. Yasui, et al., J. Phys. Soc. Jpn. 76, 023708 (2007).
H. J. Xiang and M.-H. Whangbo, Phys. Rev. Lett. 99, 257203 (2007); Y. Yasui, Y. Naito, K. Sato, et al., J. Phys. Soc. Jpn. 77, 023712 (2008).
M. G. Banks, R. K. Kremer, C. Hoch, et al., Phys. Rev. B 80, 024404 (2009); S. Seki, T. Kurumaji, S. Ishiwata, et al., Phys. Rev. B 82, 064424 (2010).
C. Lee, J. Liu, M.-H. Whanbo, et al., Phys. Rev. B 86, 060407(R) (2012).
G. Giovanneti, S. Kumar, A. Stroppa, et al., Phys. Rev. Lett. 106, 026401 (2011).
P. Babkevich, A. Poole, R. D. Johnson, et al., Phys. Rev. B 85, 134428 (2012); G. Jin, K. Cao, G.-C. Guo, and L. He, Phys. Rev. Lett. 108, 187205 (2012); R. Villareal, G. Quirion, M. L. Plumer, et al., Phys. Rev. Lett. 109, 167206 (2012).
T. Kimura, J. C. Lashley, and A. P. Ramirez, Phys. Rev. B 73, 220401(R) (2006).
R. D. Johnson, L. C. Chapon, D. D. Khalyavin, et al., Phys. Rev. Lett. 108, 087201 (2012); N. Terada, D. D. Khalyavin, P. Manuel, et al., Phys. Rev. Lett. 109, 097203 (2012).
D. ter Haar and M. E. Lines, Philos. Trans. R. Soc. London A 254(1046), 521 (1962).
R. Moessner and J. T. Chalker, Phys. Rev. B 58, 12049 (1998).
J. Villain, R. Bidaux, J. P. Canon, and R. J. Conte, J. Phys. (Paris) 41, 1263 (1980); E. F. Shender, Sov. Phys. JETP 56, 178 (1982); C. L. Henley, J. Appl. Phys. 61, 3962 (1987).
I. Dzyaloshinsky, J. Phys. Chem. Solids 4, 241 (1958); T. Moriya, Phys. Rev. 120, 91 (1960).
I. E. Dzyaloshinskii, Sov. Phys. JETP 19, 960 (1964).
M. Elhajal, B. Chanals, R. Sunyer, and C. Lacroix, Phys. Rev. B 71, 094420 (2005).
S. N. Martynov, J. Exp. Theor. Phys. 109, 979 (2009).
J. S. Smart, Effective Field Theories of Magnetism (Saunders, London, 1966; Mir, Moscow, 1968).
Y. Tanaka, N. Terada, T. Nakajima, et al., Phys. Rev. Lett. 109, 127205 (2012).
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © S.N. Martynov, 2013, published in Pis’ma v Zhurnal Eksperimental’noi i Teoreticheskoi Fiziki, 2013, Vol. 98, No. 1, pp. 23–27.
Rights and permissions
About this article
Cite this article
Martynov, S.N. Incommensurate magnetic structures in rhombohedral Heisenberg antiferromagnet. Jetp Lett. 98, 19–23 (2013). https://doi.org/10.1134/S0021364013140099
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S0021364013140099