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A two-dimensional Heisenberg S = 1 antiferromagnet with exchange interactions of two types on a hexagonal lattice: RSRG and DMRG analyses

  • Order, Disorder, and Phase Transitions in Condensed Systems
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Abstract

An anisotropic Heisenberg spin S = 1 model on a two-dimensional hexagonal lattice (formed from interacting chains) with antiferromagnetic nearest-neighbor interactions of two types is analyzed by the real space renormalization group method. The problem of the influence of interchain pairing on the critical properties of the model is studied, and the phase diagram of the model is constructed. The two-dimensional density matrix renormalization group algorithm is used to calculate the ground state energy for the isotropic case as a function of the ratio between interchain and intrachain interactions.

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Authors and Affiliations

  1. Ural State University, pr. Lenina 51, Yekaterinburg, 620053, Russia

    V. E. Sinitsyn, A. S. Boyarchenkov, A. S. Ovchinnikov & I. G. Bostrem

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  1. V. E. Sinitsyn
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  2. A. S. Boyarchenkov
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  3. A. S. Ovchinnikov
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  4. I. G. Bostrem
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__________

Translated from Zhurnal Éksperimental’no\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) i Teoretichesko\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) Fiziki, Vol. 128, No. 3, 2005, pp. 549–558.

Original Russian Text Copyright © 2005 by Sinitsyn, Boyarchenkov, Ovchinnikov, Bostrem.

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Sinitsyn, V.E., Boyarchenkov, A.S., Ovchinnikov, A.S. et al. A two-dimensional Heisenberg S = 1 antiferromagnet with exchange interactions of two types on a hexagonal lattice: RSRG and DMRG analyses. J. Exp. Theor. Phys. 101, 472–480 (2005). https://doi.org/10.1134/1.2103215

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  • DOI: https://doi.org/10.1134/1.2103215

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