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

Physica A Statistical Mechanics and its Applications

Phase transitions in the Ising model on a layered triangular lattice in a magnetic field

Akai Kurbanovich Murtazaev, М. К. Бадиев, Рамазанов Магомедшейх Курбанович, М. А. Магомедов

Published Apr 11, 2020• 16 citations
Publisher
DOI
10.1016/j.physa.2020.124530

Related papers

Phase transitions and critical phenomena in the antiferromagnetic Ising model on a layered triangular lattice

Akai Kurbanovich Murtazaev, Рамазанов Магомедшейх Курбанович, М. К. Бадиев

Physica A Statistical Mechanics and its Applications•May 9, 2018•23 citations

Phase transitions in the antiferromagnetic Ising model of spin S on the triangular lattice, 2

Toshimichi Matsushima, Yotaro Ueno, 松島 利道 +1 more

•Jan 1, 1996•0 citations

Dynamically order–disorder transition in the kinetic Ising model on a triangular lattice driven by a time dependent magnetic field

Erol Vatansever

Physica A Statistical Mechanics and its Applications•Jul 5, 2018•21 citations

Phase transitions and critical properties in the antiferromagnetic Ising model on a layered triangular lattice with allowance for intralayer next-nearest-neighbor interactions

М. К. Бадиев, Akai Kurbanovich Murtazaev, Рамазанов Магомедшейх Курбанович

The phase transitions (PTs) and critical properties of the antiferromagnetic Ising model on a layered (stacked) triangular lattice have been studied by the Monte Carlo method using a replica algorithm with allowance for the next-nearest-neighbor interactions. The character of PTs is analyzed using the histogram technique and the method of Binder cumulants. It is established that the transition from the disordered to paramagnetic phase in the adopted model is a second-order PT. Static critical exponents of the heat capacity (α), susceptibility (γ), order parameter (β), and correlation radius (ν) and the Fischer exponent η are calculated using the finite-size scaling theory. It is shown that (i) the antiferromagnetic Ising model on a layered triangular lattice belongs to the XY universality class of critical behavior and (ii) allowance for the intralayer interactions of next-nearest neighbors in the adopted model leads to a change in the universality class of critical behavior.

Journal of Experimental and Theoretical Physics•Oct 1, 2016•9 citations

PHASE TRANSITIONS IN THE ISING MODEL

H Ulman, M Athematics J Ournal

•Jan 1, 2010•0 citations

The critical properties of the Ising model in a magnetic field

М. К. Бадиев, Akai Kurbanovich Murtazaev, Рамазанов Магомедшейх Курбанович +1 more

The phase transitions and critical properties of the three-dimensional stacked triangular-lattice Ising antiferromagnet in a magnetic field are studied using the replica Monte Carlo method. The nature of the phase transitions is analyzed on the basis of the histogram method. It is established that a second-order transition occurs in the field range of 0 ≤ h ≤ 6. At a high field, the degeneracy of the ground state is lifted and the phase transition is smeared. Depending on the magnitude of the magnetic field, disordered, partially ordered, and completely ordered phases are observed.

Low Temperature Physics•Jul 1, 2020•6 citations
The phase transitions (PTs) and critical properties of the antiferromagnetic Ising model on a layered (stacked) triangular lattice have been studied by the Monte Carlo method using a replica algorithm with allowance for the next-nearest-neighbor interactions. The character of PTs is analyzed using the histogram technique and the method of Binder cumulants. It is established that the transition from the disordered to paramagnetic phase in the adopted model is a second-order PT. Static critical exponents of the heat capacity (α), susceptibility (γ), order parameter (β), and correlation radius (ν) and the Fischer exponent η are calculated using the finite-size scaling theory. It is shown that (i) the antiferromagnetic Ising model on a layered triangular lattice belongs to the XY universality class of critical behavior and (ii) allowance for the intralayer interactions of next-nearest neighbors in the adopted model leads to a change in the universality class of critical behavior.
The phase transitions and critical properties of the three-dimensional stacked triangular-lattice Ising antiferromagnet in a magnetic field are studied using the replica Monte Carlo method. The nature of the phase transitions is analyzed on the basis of the histogram method. It is established that a second-order transition occurs in the field range of 0 ≤ h ≤ 6. At a high field, the degeneracy of the ground state is lifted and the phase transition is smeared. Depending on the magnitude of the magnetic field, disordered, partially ordered, and completely ordered phases are observed.