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We have studied the thermodynamic properties of a multiferroic that couples ferromagnetic and ferroelectric order. Some of the results are independent of the form of the free energy. We calculate the temperature dependence of the electric,…

Materials Science · Physics 2011-01-31 G. R. Boyd , P. Kumar , S. R. Phillpot

Within the proper-time renormalization group approach, the chiral phase diagram of a two-flavor quark-meson model is studied. In the chiral limit, the location of the tricritical point which is linked to a Gaussian fixed point, is…

Nuclear Theory · Physics 2009-11-10 Bernd-Jochen Schaefer , Jochen Wambach

We determine the finite-temperature phase diagram and critical behavior of the classical square-lattice Heisenberg-compass model using large-scale Monte Carlo simulations and finite-size scaling. Six symmetry distinct ordered phases are…

Strongly Correlated Electrons · Physics 2026-03-11 Yuchen Fan

Crystals of repulsively interacting ions in planar traps form hexagonal lattices, which undergo a buckling instability towards a multi-layer structure as the transverse trap frequency is reduced. Numerical and experimental results indicate…

Quantum Gases · Physics 2016-09-13 Daniel Podolsky , Efrat Shimshoni , Giovanna Morigi , Shmuel Fishman

We reexamine the spin glass (SG) phase transition of the $\pm J$ Heisenberg models with and without the random anisotropy $D$ in three dimensions ($d = 3$) using complementary two methods, i.e., (i) the defect energy method and (ii) the…

Disordered Systems and Neural Networks · Physics 2009-11-10 F Matsubara , T Shirakura , S Endoh , S Takahashi

We study the critical behavior of a frustrated Blume-Capel (BC) antiferromagnet on a triangular lattice by Monte Carlo simulations. For a reduced single-ion anisotropy strength $-1.47 \lesssim d < 0$ we find two phase transitions. The…

Statistical Mechanics · Physics 2013-04-01 M. Žukovič , A. Bobák

The combination of an exact and Corner Transfer Matrix Renormalization Group (CTMRG) methods is used to study an influence of external electric and magnetic fields on existence of intriguing reentrant magnetic transitions in a coupled…

Statistical Mechanics · Physics 2020-04-22 Hana Čenčariková , Jozef Strečka , Andrej Gendiar

A magnetic system with a phase transition at temperature $T_c$ may exhibit double resonance peaks under a periodic external magnetic field because the time scale matches the external frequency at two different temperatures, one above $T_c$…

Statistical Mechanics · Physics 2012-08-27 Seung Ki Baek , Beom Jun Kim

The low-temperature magnetic phase diagram of the multiferroic system FeTe$_2$O$_5$Br down to 300 mK and up to 9 T is presented. Short-range magnetic correlations within the crystal layers start to develop already at $\sim$50 K, i.e., far…

Strongly Correlated Electrons · Physics 2015-05-19 M. Pregelj , A. Zorko , O. Zaharko , Z. Kutnjak , M. Jagodič , Z. Jagličić , H. Berger , M. de Souza , C. Balz , M. Lang , D. Arčon

We extend the newly proposed probability-changing cluster (PCC) Monte Carlo algorithm to the study of systems with the vector order parameter. Wolff's idea of the embedded cluster formalism is used for assigning clusters. The…

Statistical Mechanics · Physics 2009-11-07 Yusuke Tomita , Yutaka Okabe

The statement that any phase transition is related to the appearance or disappearance of long-range spatial correlations precludes a finite transition temperature in one-dimensional (1D) systems. In this paper we demonstrate that the 1D…

Statistical Mechanics · Physics 2020-06-02 L. S. Ferreira , L. N. Jorge , Cláudio J. DaSilva , Minos A. Neto , A. A. Caparica

Using extensive Monte Carlo simulations, we clarify the critical behaviour of the 3 dimensional simple cubic Ising Fully Frustrated system. We find two transition temperatures and two long range ordered phases. Within the present numerical…

Statistical Mechanics · Physics 2009-10-31 L. W. Bernardi , K. Hukushima , H. Takayama

We have found a simple criterion which allows for the straightforward determination of the order-disorder critical temperatures. The method reproduces exactly results known for the two dimensional Ising, Potts and $Z(N<5)$ models. It also…

High Energy Physics - Lattice · Physics 2009-10-22 J. Wosiek

We present results obtained in QCD with two flavors of non-perturbatively improved Wilson fermions at finite temperature on $16^3 \times 8$ and $24^3 \times 10$ lattices. We determine the transition temperature in the range of quark masses…

Measurements of the heat capacity C(T,H) of the one-dimensional quantum magnet TiOCl are presented for temperatures 2K < T < 300K and magnetic fields up to 5T. Distinct anomalies at 91K and 67K signal two subsequent phase transitions. The…

Strongly Correlated Electrons · Physics 2007-05-23 J. Hemberger , M. Hoinkis , M. Klemm , M. Sing , R. Claessen , S. Horn , A. Loidl

We study the continuity of magnetization at the phase transition of the ferromagnetic XY model in the three-dimensional square lattice with the nearest neighborhood interaction. We assume that, at the critical temperature, with probability…

Probability · Mathematics 2025-03-12 Zhou Gang

This paper presents a systematic study of the application of convolutional neural networks (CNNs) as an efficient and versatile tool for the analysis of critical and low-temperature phase states in spin system models. The problem of…

Computational Physics · Physics 2025-12-09 Dmitrii Kapitan , Pavel Ovchinnikov , Konstantin Soldatov , Petr Andriushchenko , Vitalii Kapitan

Specific heat ($C_V$) measurements in the spin-1/2 Cu$_2$(C$_2$H$_{12}$N$_2$)$_2$Cl$_4$ system under a magnetic field up to $H=8.25 T$ are reported and compared to the results of numerical calculations based on the 2-leg antiferromagnetic…

Strongly Correlated Electrons · Physics 2009-10-31 R. Calemczuk , J. Riera , D. Poilblanc , J. -P. Boucher , G. Chaboussant , L. Levy , O. Piovesana

In this paper, we thoroughly examined the Berezinskii-Kosterlitz-Thouless (BKT) phase transition in the two-dimensional XY model on the honeycomb lattice. To address its thermodynamical behavior, we combined standard numerical Monte Carlo…

Statistical Mechanics · Physics 2025-04-14 Felipe E. F. de Andrade , L. N. Jorge , Claudio J. DaSilva

The two-dimensional $q$-state clock model for $q \geq 5$ undergoes two Berezinskii-Kosterlitz-Thouless (BKT) phase transitions as temperature decreases. Here we report an extensive worm-type simulation of the square-lattice clock model for…

Statistical Mechanics · Physics 2022-08-24 Hao Chen , Pengcheng Hou , Sheng Fang , Youjin Deng