Abstract
The method of nonlocal trial variation function for quantum one-dimensional systems is developed on an example of a spin-1/2 XXZ chain with an alternating magnetic field. A four-site trial wave function for a fermionic representation of the model is constructed. The results obtained using the model with the extended trial wave function show a considerable improvement of accuracy of the ground state energy calculation in the field of critical behavior in comparison with the solutions obtained earlier. The methods for calculating the experimentally observed spin correlation function are considered.
Similar content being viewed by others
REFERENCES
A. N. Vasil’ev, M. M. Markina, and E. A. Popova, J. Low Temp. Phys. 31, 203 (2005).
L. Bogani, A. Vindigni, R. Sessoli, and D. Gatteschi, J. Mater. Chem. 18, 4750 (2008).
T. S. Nunner and T. Kopp, Phys. Rev. B 69, 104419 (2004).
D. C. Mattis, The Many-Body Problem: An Encyclopedia of Exactly Solvable Models in One Dimension (World Scientific, London, 1993).
R. Coldea, D. A. Tennant, E. M. Wheeler, E. Wawrzynska, D. Prabhakaran, M. Telling, K. Habicht, P. Smeibidl, and K. Kiefer, Science (Washington, DC, U.S.) 327, 177 (2010).
G. Kamieniarz, R. Matysiak, P. Gegenwart, A. Ochiai, and F. Steglich, Phys. Rev. B 94, 100403 (2016).
M. Takahashi, Thermodynamics of One-Dimensional Solvable Models (Cambridge Univ. Press, Cambridge, 2005).
R. B. Griffiths, Phys. Rev. A 133, 768 (1964).
J. des Cloizeaux and J. J. Pearson, Phys. Rev. 128, 2131 (1962).
L. D. Faddeev and L. A. Takhtajan, Phys. Lett. A 85, 375 (1981).
J. D. Johnson, J. Appl. Phys. 52, 1991 (1981).
M. Oshikawa and I. Affleck, Phys. Rev. Lett. 79, 2883 (1997).
I. Affleck and M. Oshikawa, Phys. Rev. B 60, 1038 (1999).
N. Shibata and K. Ueda, J. Phys. Soc. Jpn. 70, 3690 (2001).
P. Jordan and E. Wigner, Z. Phys. 47, 631 (1928).
S. Paul and A. K. Ghosh, J. Magn. Magn. Mater. 362, 193 (2014).
Yu. B. Kudasov and R. V. Kozabaranov, Phys. Lett. A 382, 1120 (2018).
M. C. Gutzwiller, Phys. Rev. A 137, 1726 (1965).
F. Gebhard, The Mott Metal’Insulator Transition: Models and Methods (Springer, Berlin, 1997).
Yu. B. Kudasov, Phys. Usp. 46, 117 (2003).
J. Ziman, Models of Disorder: The Theoretical Physics of Homogeneously Disordered Systems (Cambridge Univ. Press, Cambridge, New York, 1979).
R. Kikuchi, Phys. Rev. 81, 988 (1951).
R. Kikuchi, Prog. Theor. Phys. Suppl. 115, 1 (1994).
M. Kohgi, K. Iwasa, J.-M. Mignot, B. Fäk, P. Gegenwart, M. Lang, A. Ochiai, H. Aoki, and T. Suzuki, Phys. Rev. Lett. 86, 2439 (2001).
D. C. Dender, P. R. Hammar, D. H. Reich, C. Broholm, and G. Aeppli, Phys. Rev. Lett. 79, 1750 (1997).
Author information
Authors and Affiliations
Corresponding author
Ethics declarations
The authors declare that they have no conflicts of interest.
Additional information
Translated by N. Semenova
Rights and permissions
About this article
Cite this article
Kudasov, Y.B., Kozabaranov, R.V. Variational Model for Low-Dimensional Magnets. Phys. Solid State 62, 1678–1684 (2020). https://doi.org/10.1134/S1063783420090176
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1063783420090176