Abstract
We investigate the spin-wave excitation spectrum in an antiferromagnet for the anisotropic J 1 –J 2 and isotropic quasi-two-dimensional Heisenberg models with an arbitrary spin S. We consider the random phase approximation (Tyablikov decoupling) and the linear spin-wave approximation. We calculate the temperature dependence of the magnetization and the Néel temperature and compare it with experimental results for high-temperature cuprate superconductors and iron-based compounds.
Similar content being viewed by others
References
Yu. A. Izyumov and É. Z. Kurmaev, High Temperature Superconductors Based on FeAs Compounds [in Russian], RKhD, Moscow (2009).
J. Paglione and R. L. Greene, Nature Phys., 6, 645–658 (2010).
D. C. Johnston, Adv. Phys., 59, 803–1061 (2010); arXiv:1005.4392v2 [cond-mat.supr-con] (2010).
I. I. Mazin, Nature, 464, 183–186 (2010).
P. J. Hirschfeld, M. M. Korshunov, and I. I. Mazin, Rep. Prog. Phys., 74, 124508 (2011); arXiv:1106.3712v2 [cond-mat.supr-con] (2011).
T. Yildirim, Phys. Rev. Lett., 101, 057010 (2008); arXiv:0804.2252v1 [cond-mat.supr-con] (2008).
Q. Si and E. Abrahams, Phys. Rev. Lett., 101, 076401 (2008).
F. Ma, Z.-Y. Lu, and T. Xiang, Phys. Rev. B, 78, 224517 (2008); arXiv:0804.3370v3 [cond-mat.mtrl-sci] (2008).
J. Zhao, D. T. Adroja, D. X. Yao, R. Bewley, S. Li, X. F. Wang, G. Wu, X. H. Chen, J. Hu, and P. C. Dai, Nature Phys., 5, 555–560 (2009).
R. Applegate, J. Oitmaa, and R. R. P. Singh, Phys. Rev. B, 81, 024505 (2010); arXiv:0910.1793v1 [cond-mat.str-el] (2009).
S. O. Diallo, V. P. Antropov, T. G. Perring, C. Broholm, J. J. Pulikkotil, N. Ni, S. L. Bud’ko, P. C. Canfield, A. Kreyssig, A. I. Goldman, and R. J. McQueeney, Phys. Rev. Lett., 102, 187206 (2009); arXiv:0901.3784v2 [cond-mat.supr-con] (2009).
E. Kaneshita and T. Tohyama, Phys. Rev. B, 82, 094441 (2010); arXiv:1002.2701v2 [cond-mat.supr-con] (2010).
L. W. Harriger, H. Q. Luo, M. S. Liu, C. Frost, J. P. Hu, M. R. Norman, and P. Dai, Phys. Rev. B, 84, 054544 (2011); arXiv:1011.3771v1 [cond-mat.supr-con] (2010).
R. A. Ewings, T. G. Perring, J. Gillett, S. D. Das, S. E. Sebastian, A. E. Taylor, T. Guidi, and A. T. Boothroyd, Phys. Rev. B, 83, 214519 (2011); arXiv:1011.3831v2 [cond-mat.str-el] (2010).
S. V. Tyablikov, Methods in the Quantum Theory of Magnetism [in Russian], Nauka, Moscow (1975); English transl., Plenum, New York (1967).
N. Majlis, S. Selzer, and G. C. Strinati, Phys. Rev. B, 45, 7872–7881 (1992); 48, 957–964 (1993).
P. Kopietz, Phys. Rev. Lett., 68, 3480–3483 (1992).
F. Suzuki and C. Ishii, J. Phys. Soc. Japan, 62, 3686–3693 (1993).
L. Siurakshina, D. Ihle, and R. Hayn, Phys. Rev. B, 61, 14601–14606 (2000); arXiv:cond-mat/0001132v1 (2000).
D. Ihle, C. Schindelin, and H. Fehske, Phys. Rev. B, 64, 054419 (2001); arXiv:cond-mat/0105087v1 (2001).
D. N. Zubarev, Sov. Phys. Usp., 3, 320–345 (1960).
E. Praveczki, Phys. Lett., 6, 147–149 (1963).
M. A. Kastner, R. J. Birgeneau, G. Shirane, and Y. Endoch, Rev. Modern Phys., 70, 897–928 (1998).
S.-P. Kou, T. Li, and Z.-Y. Weng, Europhys. Lett., 88, 17010 (2009); arXiv:0811.4111v4 [cond-mat.supr-con] (2008).
W. Lv, F. Krüger, and P. Phillips, Phys. Rev. B, 82, 045125 (2010).
U.-J. Wiese and H.-P. Ying, Z. Phys. B, 93, 147–150 (1994).
H. Shimahara and S. Takada, J. Phys. Soc. Japan, 60, 2394–2405 (1991).
A. Sokol, R. R. P. Singh, and N. Alstner, Phys. Rev. Lett., 76, 4416–4419 (1996); arXiv:cond-mat/9602044v1 (1996).
S. Winterfeldt and D. Ihle, Phys. Rev. B, 56, 5535–5541 (1997).
N. M. Plakida, Theor. Math. Phys., 168, 1303–1317 (2011).
Author information
Authors and Affiliations
Corresponding author
Additional information
__________
Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 177, No. 2, pp. 306–322, November, 2013.
Rights and permissions
About this article
Cite this article
Vladimirov, A.A., Ihle, D. & Plakida, N.M. Spin excitations in an anisotropic J 1–J 2 Heisenberg model. Theor Math Phys 177, 1540–1554 (2013). https://doi.org/10.1007/s11232-013-0121-2
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11232-013-0121-2