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

The European Physical Journal B

Phase boundary of the square-lattice Ising antiferromagnet by real space renormalization group methods

Bernd R. Schuh

Published Mar 1, 1978• 2 citations
Publisher
DOI
10.1007/bf01320126

Related papers

Real space renormalization group study of the two-dimensional super-antiferromagnetic Ising model

Isabel Cristina Souza Dinóla, A. Saguia, B. Boechat

Physics Letters A•Mar 15, 2009•4 citations

Monte Carlo study of the phase boundary of the Ising antiferromagnet

Dennis C. Rapaport

Physics Letters A•Feb 1, 1978•12 citations

Real-space renormalization group study of the anisotropic antiferromagnetic Heisenberg model on a square lattice

N. S. Branco, J. Ricardo de Sousa

In this work we apply two different real-space renormalization-group (RSRG) approaches to the anisotropic antiferromagnetic spin-1/2 Heisenberg model on the square lattice. Our calculations allow for an approximate evaluation of the T vs \ensuremath{\Delta} phase diagram: the results suggest the existence of a critical value of $\ensuremath{\Delta}>0,$ at which the critical temperature goes to zero, and the presence of reentrant behavior on the critical line between the ordered and disordered phases. This whole critical line is found to belong to the same universality class as the Ising model. Our results are in accordance with previous RSRG approaches but not with numerical simulations and spin-wave calculations.

arXiv:cond-mat/0006345•Physical review. B, Condensed matter•Sep 1, 2000•24 citations

Phase diagram of the two-dimensional ±J Ising spin glass

Fernando Dantas Nobre

The +/-J Ising spin glass [probabilities p and (1-p) associated with ferromagnetic and antiferromagnetic couplings, respectively] is studied by applying a real-space renormalization-group technique on a hierarchical lattice that approaches the square lattice. Within such a procedure, there is no spin-glass phase and only two finite-temperature phases are found, namely, the paramagnetic and ferromagnetic ones. In spite of a reasonably small computational effort, an accurate paramagnetic-ferromagnetic boundary is presented: the estimate for the slope at p=1 is in very good agreement with the well-known exact result, whereas the coordinates of the Nishimori point are determined within a high precision. Below the Nishimori point, such a boundary is not strictly vertical-contrary to the usual belief-in such a way that a small reentrance is found at low temperatures.

Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics•Sep 20, 2001•49 citations

Application of Real-Space Renormalization Group Theory to a Triangular Ising Lattice

Takehiko Oguchi, Takuma Ishikawa

Journal of the Physical Society of Japan•Jul 15, 1985•2 citations

Phase Diagram of the Square-Lattice Three-State Potts Antiferromagnet with a Staggered Polarization Field

Hiromi Otsuka, Yutaka Okabe

We study a square-lattice three-state Potts antiferromagnet with a staggered polarization field at finite temperature. Numerically treating the transfer matrices, we determine two phase boundaries separating the model-parameter space into three parts. We confirm that one of them belongs to the ferromagnetic three-state Potts criticality, which is in accord with a recent prediction, and another to the Ising-type; these are both corresponding to the massless renormalization-group flows stemming from the Gaussian fixed points. We also discuss a field theory to describe the latter Ising transition.

arXiv:cond-mat/0408444•Physical Review Letters•Sep 14, 2004•9 citations
In this work we apply two different real-space renormalization-group (RSRG) approaches to the anisotropic antiferromagnetic spin-1/2 Heisenberg model on the square lattice. Our calculations allow for an approximate evaluation of the T vs \ensuremath{\Delta} phase diagram: the results suggest the existence of a critical value of $\ensuremath{\Delta}>0,$ at which the critical temperature goes to zero, and the presence of reentrant behavior on the critical line between the ordered and disordered phases. This whole critical line is found to belong to the same universality class as the Ising model. Our results are in accordance with previous RSRG approaches but not with numerical simulations and spin-wave calculations.
The +/-J Ising spin glass [probabilities p and (1-p) associated with ferromagnetic and antiferromagnetic couplings, respectively] is studied by applying a real-space renormalization-group technique on a hierarchical lattice that approaches the square lattice. Within such a procedure, there is no spin-glass phase and only two finite-temperature phases are found, namely, the paramagnetic and ferromagnetic ones. In spite of a reasonably small computational effort, an accurate paramagnetic-ferromagnetic boundary is presented: the estimate for the slope at p=1 is in very good agreement with the well-known exact result, whereas the coordinates of the Nishimori point are determined within a high precision. Below the Nishimori point, such a boundary is not strictly vertical-contrary to the usual belief-in such a way that a small reentrance is found at low temperatures.
We study a square-lattice three-state Potts antiferromagnet with a staggered polarization field at finite temperature. Numerically treating the transfer matrices, we determine two phase boundaries separating the model-parameter space into three parts. We confirm that one of them belongs to the ferromagnetic three-state Potts criticality, which is in accord with a recent prediction, and another to the Ising-type; these are both corresponding to the massless renormalization-group flows stemming from the Gaussian fixed points. We also discuss a field theory to describe the latter Ising transition.