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This talk was about the frustration-induced criticality in the antiferromagnetic Heisenberg model on the two-leg ladder with exchange interactions along the chains, rungs, and diagonals, and also about the effect of thermal fluctuations on…

强关联电子 · 物理学 2009-11-13 Mohamed Azzouz , Brandon W. Ramakko

Based on exact diagonalization data for finite quantum Heisenberg antiferromagnets on two frustrated lattices (two-leg ladder and bilayer) and analytical arguments we map low-energy degrees of freedom of the spin models in a magnetic field…

强关联电子 · 物理学 2010-12-22 Oleg Derzhko , Taras Krokhmalskii , Johannes Richter

Using a {\it collective} Monte Carlo algorithm we study the low-temperature and long-distance properties of two systems of two-dimensional classical tops. Both systems have the same spin-wave dynamics (low-temperature behavior) as a large…

统计力学 · 物理学 2009-10-31 Michel Caffarel , Patrick Azaria , Bertrand Delamotte , Dominique Mouhanna

A novel result in $\mathbb Z_2$-equivariant homotopy theory is stated, proven, and applied to the topological classification of classically frustrated magnets in the presence of canonical time-reversal symmetry. This result generalizes a…

数学物理 · 物理学 2025-07-03 Shayan Zahedi

In this paper the two dimensional extended Hubbard model with intersite magnetic Ising-like interaction in the atomic limit is analyzed by means of the classical Monte Carlo method in the grand canonical ensemble. Such an effective simple…

The stability of the disordered ground state of the classical Heisenberg pyrochlore antiferromagnet is studied within extensive Monte Carlo simulations by introducing an additional exchange interaction $J'$ that interpolates between the…

强关联电子 · 物理学 2009-11-07 C. Pinettes , B. Canals , C. Lacroix

A three-dimensional chiral helimagnet is analyzed using a mean-field (MF) analysis and a classical Monte Carlo (MC) simulation at finite temperatures. We consider a Hamiltonian containing Heisenberg exchange and uni-axial…

强关联电子 · 物理学 2016-06-30 Misako Shinozaki , Shintaro Hoshino , Yusuke Masaki , Jun-ichiro Kishine , Yusuke Kato

Defects in frustrated antiferromagnetic spin chains are universally present in geometrically frustrated systems. We consider the defects of the one-dimensional, spin-$s$ XXZ chain with single-ion anisotropy on a periodic chain with $N$…

强关联电子 · 物理学 2023-02-22 Christian Boudreault , Solomon A. Owerre , Manu B. Paranjape

The classical Heisenberg antiferromagnet on a triangular lattice with the single-ion anisotropy of the easy-axis type is theoretically investigated. The mean-field phase diagram in an external magnetic field is constructed. Three…

强关联电子 · 物理学 2009-08-24 P. -É. Melchy , M. E. Zhitomirsky

In this paper, the magneto-heating coupling model is studied in details, with turbulent convection zone and the flow field involved. Our main work is to analyze the well-posed property of this model with the regularity techniques. For the…

数值分析 · 数学 2017-12-07 Changhui Yao , Yanping Lin , Lixiu Wang , Xuefan Jia

High-temperature part of the phase diagram of tetragonal frustrated antiferromagnets is discussed within the framework of the mean-field approach. Based on recent experimental findings, we generalize previous theoretical studies by…

强关联电子 · 物理学 2025-12-23 Oleg I. Utesov , Danila P. Budylev

Using the quantum Monte Carlo Loop algorithm, we calculate the temperature dependence of the uniform susceptibility, the specific heat, the correlation length, the generalized staggered susceptibility and magnetization of a spin-1/2 chain…

凝聚态物理 · 物理学 2007-05-23 Beat Frischmuth , Manfred Sigrist , Beat Ammon , Matthias Troyer

The ground state phase diagram is determined for the frustrated classical Heisenberg chain with added nearest-neighbor biquadratic exchange interactions. There appear ferromagnetic, incommensurate-spiral, and up-up-down-down phases; a…

强关联电子 · 物理学 2013-05-29 T. A. Kaplan

We study the antiferromagnetic 3-state Potts model on general (periodic) plane quadrangulations $\Gamma$. Any quadrangulation can be built from a dual pair $(G,G^*)$. Based on the duality properties of $G$, we propose a new criterion to…

统计力学 · 物理学 2018-08-03 Jian-Ping Lv , Youjin Deng , Jesper Lykke Jacobsen , Jesús Salas

The 2-d spin 1/2 Heisenberg antiferromagnet with exchange coupling $J$ is investigated on a periodic square lattice of spacing $a$ at very small temperatures using the loop-cluster algorithm. Monte Carlo data for the staggered and uniform…

强关联电子 · 物理学 2013-05-29 F. -J. Jiang , U. -J. Wiese

We study classical and quantum Heisenberg antiferromagnets with exchange anisotropy of XXZ-type and crystal field single-ion terms of quadratic and cubic form in a field. The magnets display a variety of phases, including the spin-flop (or,…

统计力学 · 物理学 2011-01-12 W. Selke , G. Bannasch , M. Holtschneider , I. P. McCulloch , D. Peters , S. Wessel

The continuous imaginary-time quantum Monte Carlo method with the worm update algorithm is applied to explore the ground state properties of the spin-1/2 Heisenberg model with antiferromagnetic (AF) coupling $J>0$ and ferromagnetic (F)…

强关联电子 · 物理学 2017-06-07 Yi-Zhen Huang , Gang Su

We use the coupled cluster method implemented to high orders of approximation to investigate the frustrated spin-$\frac{1}{2}$ $J_{1}$--$J_{2}$--$J_{3}$ antiferromagnet on the honeycomb lattice with isotropic Heisenberg interactions of…

强关联电子 · 物理学 2016-01-06 R. F. Bishop , P. H. Y. Li , O. Götze , J. Richter , C. E. Campbell

We report on classical Monte Carlo study of phase transitions and critical behavior of a 2D spin-pseudospin model describing a dilute magnet with competing charge and spin interactions. The static critical exponents of the specific heat and…

统计力学 · 物理学 2021-09-23 D. N. Yasinskaya , V. A. Ulitko , Yu. D. Panov

A large part of the interest in magnets with frustrated antiferromagnetic interactions comes from the many new phases found in applied magnetic field. In this Article, we explore some of the new phases which arise in a model with frustrated…

强关联电子 · 物理学 2016-02-29 Luis Seabra , Philippe Sindzingre , Tsutomu Momoi , Nic Shannon
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