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

Springer series in solid-state sciences

Critical Properties of the Two-Dimensional Spin-1/2 XY Ferromagnet

T. Onogi, Seiji Miyashita, Masuo Suzuki

Published Jan 1, 1987• 5 citations
Publisher
DOI
10.1007/978-3-642-83154-6_7

Related papers

Critical properties of the two-dimensional XY model

Douglas M. Lublin

•Jan 1, 1976•3 citations

Critical behavior of the susceptibility in a two-dimensional ferromagnet

M. Aïn, J. Hammann

AIP conference proceedings•Jan 1, 1975•3 citations

Two-dimensional quantum-spin-1/2 XXZ magnet in zero magnetic field: Global thermodynamics from renormalisation group theory

Ozan S. Sarıyer

Phase diagram, critical properties and thermodynamic functions of the two-dimensional field-free quantum-spin-1/2 XXZ model has been calculated globally using a numerical renormalisation group theory. The nearest-neighbour spin-spin correlations and entanglement properties, as well as internal energy and specific heat are calculated globally at all temperatures for the whole range of exchange interaction anisotropy, from XY limit to Ising limits, for both antiferromagnetic and ferromagnetic cases. We show that there exists long-range (quasi-long-range) order at low-temperatures, and the low-lying excitations are gapped (gapless) in the Ising-like easy-axis (XY-like easy-plane) regime. Besides, we identify quantum phase transitions at zero-temperature.

arXiv:1807.03250•The Philosophical Magazine A Journal of Theoretical Experimental and Applied Physics•Apr 17, 2019•36 citations

Critical properties of a spin- Heisenberg ferromagnet

K. Moorjani, T. Tanaka

Physics Letters A•May 1, 1969•0 citations

Invaded Cluster Simulations of the XY Model in Two and Three

Ilija Dukovski, Jonathan L. Machta, Lincoln Chayes

The invaded cluster algorithm is used to study the XY model in two and three dimensions up to sizes 20002 and 1203, respectively. A soft spin O(2) model, in the same universality class as the three-dimensional XY model, is also studied. The static critical properties of the model and the dynamical properties of the algorithm are reported. The results are Kc=0.45412(2) for the three-dimensional XY model and η=0.037(2) for the three-dimensional XY universality class. For the two-dimensional XY model the results are Kc=1.120(1) and η=0.251(5). The invaded cluster algorithm does not show any critical slowing for the magnetization or critical temperature estimator for the two-dimensional or three-dimensional XY models.

•Jan 1, 2002•0 citations

The three-dimensional quantum Heisenberg ferromagnet with random anisotropy

Rita Maria Zorzenon dos Santos, Ananias M. Mariz, Raimundo R. dos Santos +1 more

The authors study the critical properties of the 3D quantum Heisenberg ferromagnet with random anisotropies; that is, the coupling between any pair of nearest-neighbouring spins can be either isotropic (Heisenberg) or anisotropic (Ising-or XY-like) at random. Within a Migdal-Kadanoff approximation they obtain the full critical frontier and correlation length critical exponents. They found that the isotropic Heisenberg model is unstable (in the context of universality classes) in the presence of a small concentration of couplings with lower symmetry.

Journal of Physics C Solid State Physics•Oct 10, 1985•6 citations
Phase diagram, critical properties and thermodynamic functions of the two-dimensional field-free quantum-spin-1/2 XXZ model has been calculated globally using a numerical renormalisation group theory. The nearest-neighbour spin-spin correlations and entanglement properties, as well as internal energy and specific heat are calculated globally at all temperatures for the whole range of exchange interaction anisotropy, from XY limit to Ising limits, for both antiferromagnetic and ferromagnetic cases. We show that there exists long-range (quasi-long-range) order at low-temperatures, and the low-lying excitations are gapped (gapless) in the Ising-like easy-axis (XY-like easy-plane) regime. Besides, we identify quantum phase transitions at zero-temperature.
The invaded cluster algorithm is used to study the XY model in two and three dimensions up to sizes 20002 and 1203, respectively. A soft spin O(2) model, in the same universality class as the three-dimensional XY model, is also studied. The static critical properties of the model and the dynamical properties of the algorithm are reported. The results are Kc=0.45412(2) for the three-dimensional XY model and η=0.037(2) for the three-dimensional XY universality class. For the two-dimensional XY model the results are Kc=1.120(1) and η=0.251(5). The invaded cluster algorithm does not show any critical slowing for the magnetization or critical temperature estimator for the two-dimensional or three-dimensional XY models.
The authors study the critical properties of the 3D quantum Heisenberg ferromagnet with random anisotropies; that is, the coupling between any pair of nearest-neighbouring spins can be either isotropic (Heisenberg) or anisotropic (Ising-or XY-like) at random. Within a Migdal-Kadanoff approximation they obtain the full critical frontier and correlation length critical exponents. They found that the isotropic Heisenberg model is unstable (in the context of universality classes) in the presence of a small concentration of couplings with lower symmetry.