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By using the Wang-Landau flat-histogram Monte Carlo (MC) method for very large lattice sizes never simulated before, we show that the phase transition in the frustrated Heisenberg stacked triangular antiferromagnet is of first-order,…

Statistical Mechanics · Physics 2008-08-06 V. Thanh Ngo , H. T. Diep

Histogram Monte-Carlo simulation results are presented for the magnetic-field -- temperature phase diagram of the XY model on a stacked triangular lattice with antiferromagnetic intraplane and ferromagnetic interplane interactions.…

Condensed Matter · Physics 2009-10-22 M. L. Plumer , A. Mailhot , A. Caillé

The nature of the phase transition for the XY stacked triangular antiferromagnet (STA) is a controversial subject at present. The field theoretical renormalization group (RG) in three dimensions predicts a first order transition. This…

Statistical Mechanics · Physics 2009-10-31 D. Loison , K. D. Schotte

We study a stacked triangular lattice Ising model with both intra- and inter-plane antiferromagnetic interactions in a field, by Monte Carlo simulation. We find only one phase transition from a paramagnetic to a partially disordered phase,…

Statistical Mechanics · Physics 2018-05-07 M. Žukovič , M. Borovský , A. Bobák

Critical properties of the Ising model on a stacked triangular lattice, with antiferromagnetic first and second-neighbor in-plane interactions, are studied by extensive histogram Monte Carlo simulations. The results, in conjunction with the…

Condensed Matter · Physics 2009-10-22 M. L. Plumer , A. Mailhot , R. Ducharme , A. Caillé , H. T. Diep

Monte Carlo methods are used to study a family of three dimensional XY frustrated models interpolating continuously between the stacked triangular antiferromagnets and a variant of this model for which a local rigidity constraint is…

Statistical Mechanics · Physics 2009-11-10 A. Peles , B. W. Southern , B. Delamotte , D. Mouhanna , M. Tissier

Critical scaling and universality in the short-time dynamics for antiferromagnetic models on a three-dimensional stacked triangular lattice are investigated using Monte Carlo simulation. We have determined the critical point by searching…

Statistical Mechanics · Physics 2009-11-11 S. Bekhechi , B. W. Southern , A. Peles , D. Mouhanna

We study the nature of the phase transition in the fully frustrated simple cubic lattice with the XY spin model. This system is the Villain's model generalized in three dimensions. The ground state is very particular with a 12-fold…

Statistical Mechanics · Physics 2010-12-30 V. Thanh Ngo , D. Tien Hoang , Hung The Diep

Histogram Monte-Carlo simulation results are presented for the magnetic-field -- temperature phase diagram of the Ising model on a stacked triangular lattice with antiferromagnetic intraplane and ferromagnetic interplane interactions.…

Condensed Matter · Physics 2015-06-25 M. L. Plumer , A. Mailhot

Using the Wang-Landau Monte Carlo method, we study the antiferromagnetic (AF) three-state Potts model with a staggered polarization field on the square lattice. We obtain two phase transitions; one belongs to the ferromagnetic three-state…

Statistical Mechanics · Physics 2007-05-23 Yutaka Okabe , Hiromi Otsuka

Extensive histogram Monte-Carlo simulations of the XY antiferromagnet on a stacked triangular lattice reveal exponent estimates which strongly favor a scenario of mean-field tricritical behavior for the spin-order transition. The…

Condensed Matter · Physics 2009-10-22 M. L. Plumer , A. Mailhot , A. Caillé

Histogram analysis of Monte-Carlo simulation results of the Ising antiferromagnet on a stacked triangular lattice are reported. Finite-size scaling estimates for critical exponents suggest $XY$ universality. This result supports earlier…

Condensed Matter · Physics 2007-05-23 M. L. Plumer , A. Mailhot

The honeycomb antiferromagnet under a triaxial strain is studied using the quantum Monte Carlo simulation. The strain dimerizes the exchange couplings near the corners, thus destructs the antiferromagnetic order therein. The…

Strongly Correlated Electrons · Physics 2021-09-22 Junsong Sun , Nvsen Ma , Tao Ying , Huaiming Guo , Shiping Feng

Using Monte Carlo simulations, we study the critical behavior of two models of frustrated XY antiferromagnets with a collinear spin ordering and with an additional twofold degeneracy of the ground state. We consider a classic…

Strongly Correlated Electrons · Physics 2020-04-03 A. O. Sorokin

Classical anisotropic XY antiferromagnets in a field on square and simple cubic lattices are studied using mainly Monte Carlo simulations. While in two dimensions the ordered antiferromagnetic and spin--flop phases are observed to be…

Statistical Mechanics · Physics 2017-04-07 W. Selke , S. Wessel

The results of finite-size scaling analysis of histogram Monte-Carlo simulations on the stacked triangular XY antiferromagnet with anisotropic near-neighbor exchange interactions are presented. With ferromagnetic interplane coupling ten…

Condensed Matter · Physics 2009-10-28 M. L. Plumer , A. Mailhot

Landau theory's implicit assumption that microscopic details cannot affect the system's phases has been challenged only recently in systems such as antiferromagnetic quantum spin chains with periodic boundary conditions, where topological…

Histogram Monte Carlo simulation is used to investigate effects of biquadratic exchange $J_{2}$ on phase transitions of a 3D classical XY antiferromagnet with frustration induced by the antiferromagnetic exchange $J_{1}$ and the stacked…

Statistical Mechanics · Physics 2013-01-10 M. Žukovič , T. Idogaki , K. Takeda

Starting from the hypothesis of a second order transition we have studied modifications of the original Heisenberg antiferromagnet on a stacked triangular lattice (STA-model) by the Monte Carlo technique. The change is a local constraint…

Statistical Mechanics · Physics 2009-10-31 D. Loison , K. D. Schotte

The antiferromagnetic Heisenberg model on a stacked triangular geometry with a finite number of layers is studied using Monte Carlo methods. A topological phase transition occurs at finite temperature for all film thicknesses. Our results…

Statistical Mechanics · Physics 2009-11-10 A. Peles , B. W. Southern
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