Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Physics Letters A

Phase transition in the three-dimensional anisotropic Heisenberg antiferromagnetic model

J. Ricardo de Sousa, J. A. Plascak

Published Dec 1, 1997• 17 citations
Publisher
DOI
10.1016/s0375-9601(97)00795-0

Related papers

Phase transitions in the two-dimensional Anisotropic Biquadratic Heisenberg Model

A.R. Moura, Antonio S. T. Pires, A. R. Pereira

arXiv:1305.6305•Journal of Magnetism and Magnetic Materials•Jan 18, 2014•15 citations

Phase Transition of the S=1/2 Quantum Anisotropic Heisenberg Antiferromagnet on the Triangular Lattice

Nobuo Suzuki, Fumitaka Matsubara

Science Reports of the Research Institutes, Tohoku University, Series A: Physics, Chemistry, and Metallurgy•Mar 20, 1995•0 citations

Critical behavior of the quantum Heisenberg model on three-dimensional diamond-type hierarchical lattice

Zou Wei-Ke, Xiang-Mu Kong, Chun-Yang Wang +1 more

With a real-space renormalization-group method, the anisotropic quantum Heisenberg model on three-dimensional diamond-type hierarchical lattice is studied, and the phase diagram and critical properties are obtained. For the ferromagnetic system, it is shown that there is a finite-temperature phase transition for Δ=0 where Δ is the anisotropy parameter. The order parameter and critical exponents are also calculated. For the antiferromagnetic model, we find that the critical temperature is not equal to zero for Δ=0 and there is not reentrant behavior on the critical line.

Acta Physica Sinica•Jan 1, 2010•2 citations

Phase transitions for the anisotropic Heisenberg model

Harvey S. Leff, Michael Flicker, Kenneth Millard

Physics Letters A•May 1, 1971•3 citations

Anomalous scaling corrections and quantum phase diagram of the Heisenberg antiferromagnet on the spatially anisotropic honeycomb lattice

Alexander Sushchyev, Stefan Weßel

Using large-scale quantum Monte Carlo simulations, we determine the ground state phase diagram of the spin-1/2 antiferromagnetic Heisenberg model on the honeycomb lattice for the most generic case of three varying interaction strengths along the different lattice directions. We identify continuous quantum phase transition lines that separate the long-range ordered antiferromagnetic regime from three distinct quantum-disordered phases, each characterized by dominant dimer-singlet formations. The finite-size behavior along these phase transition lines exhibits anomalously large corrections to scaling, which we relate to similar recent findings in certain dimerized quantum spin systems and to singular one-dimensional limits in the model parameter space. We also comment more generally on the nonuniversality of critical cumulant ratios in anisotropic systems and attempts to restore universality by varying the aspect ratio.

arXiv:2308.15871•Physical review. B./Physical review. B•Dec 14, 2023•4 citations

Critical Dynamics of The Classical 3-D Heisenberg Antiferromagnet with Anisotropy

Alex Bunker, Kun Chen, David Paul Landau

APS•Mar 1, 1997•0 citations
With a real-space renormalization-group method, the anisotropic quantum Heisenberg model on three-dimensional diamond-type hierarchical lattice is studied, and the phase diagram and critical properties are obtained. For the ferromagnetic system, it is shown that there is a finite-temperature phase transition for Δ=0 where Δ is the anisotropy parameter. The order parameter and critical exponents are also calculated. For the antiferromagnetic model, we find that the critical temperature is not equal to zero for Δ=0 and there is not reentrant behavior on the critical line.
Using large-scale quantum Monte Carlo simulations, we determine the ground state phase diagram of the spin-1/2 antiferromagnetic Heisenberg model on the honeycomb lattice for the most generic case of three varying interaction strengths along the different lattice directions. We identify continuous quantum phase transition lines that separate the long-range ordered antiferromagnetic regime from three distinct quantum-disordered phases, each characterized by dominant dimer-singlet formations. The finite-size behavior along these phase transition lines exhibits anomalously large corrections to scaling, which we relate to similar recent findings in certain dimerized quantum spin systems and to singular one-dimensional limits in the model parameter space. We also comment more generally on the nonuniversality of critical cumulant ratios in anisotropic systems and attempts to restore universality by varying the aspect ratio.