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An effective model in the isolated dimer limit of the Kitaev-type model on a decorated honeycomb lattice is investigated at finite temperature. The ground state of this model is exactly shown to be a chiral spin liquid with spontaneous…

强关联电子 · 物理学 2015-06-19 Joji Nasu , Yukitoshi Motome

Using the parallel tempering algorithm and GPU accelerated techniques, we have performed large-scale Monte Carlo simulations of the Ising model on a square lattice with antiferromagnetic (repulsive) nearest-neighbor(NN) and…

统计力学 · 物理学 2015-05-14 Junqi Yin , D. P. Landau

Ground-state magnetic properties of the diluted Heisenberg antiferromagnet on a square lattice are investigated by means of the quantum Monte Carlo method with the continuous-time loop algorithm. It is found that the critical concentration…

无序系统与神经网络 · 物理学 2009-10-31 K. Kato , S. Todo , K. Harada , N. Kawashima , S. Miyashita , H. Takayama

We show that the Rokhsar-Kivelson (RK) point in quantum dimer models (QDM) can emerge in realistic quantum Ising spin systems. Specifically, we investigate the $J_1$-$J_2$-$J_3$ transverse field Ising model on the triangular lattice with…

强关联电子 · 物理学 2021-06-11 Zheng Zhou , Zheng Yan , Changle Liu , Yan Chen , Xue-Feng Zhang

We use numerical transfer-matrix methods, together with finite-size scaling and conformal invariance concepts, to discuss critical properties of two-dimensional honeycomb-lattice Ising spin-1/2 magnets, with couplings which are…

统计力学 · 物理学 2013-02-18 S. L. A. de Queiroz

We present a method that optimizes the aspect ratio of a spatially anisotropic quantum lattice model during the quantum Monte Carlo simulation, and realizes the virtually isotropic lattice automatically. The anisotropy is removed by using…

统计力学 · 物理学 2015-01-22 Shinya Yasuda , Synge Todo

We study the critical behavior of a generalized icosahedral model on the simple cubic lattice. The field variable of the icosahedral model might take one of twelve vectors of unit length, which are given by the normalized vertices of the…

统计力学 · 物理学 2020-07-13 Martin Hasenbusch

The fully frustrated XY model with Villain interaction on a square lattice is studied by means of Monte Carlo simulations. On the basis of the universal jump condition it is argued that there are two distinct transitions in the model,…

凝聚态物理 · 物理学 2016-08-31 Peter Olsson

We investigate the classical chiral Ashkin-Teller model on a square lattice with the corner transfer matrix renormalisation group (CTMRG) algorithm. We show that the melting of the period-4 phase in the presence of a chiral perturbation…

统计力学 · 物理学 2022-03-08 Samuel Nyckees , Frédéric Mila

In this paper, the phase diagrams and the critical behavior of the spin-1/2 anisotropic XXZ ferromagnetic model (the anisotropic parameter {\Delta}\in(-\infty,1]) on two kinds of diamond-type hierarchical (DH) lattices with fractal…

统计力学 · 物理学 2011-11-03 Xiu-Xing Zhang , Xiang-Mu Kong , Zhong-Yang Gao , Xiao-Song Chen

We investigate the frustrated $J_1$-$J_2$ Ising model with nearest-neighbor interaction $J_1$ and next-nearest-neighbor interaction $J_2$ in two kinds of generalized triangular lattices (GTLs) employing the Wang--Landau Monte Carlo method…

统计力学 · 物理学 2024-06-28 Hoseung Jang , Unjong Yu

We show that the honeycomb Heisenberg antiferromagnet with $J_1/2=J_2=J_3$, where $J_{1/2/3}$ are first-, second- and third-neighbour couplings respectively, forms a classical spin liquid with pinch-point singularities in the structure…

强关联电子 · 物理学 2016-10-13 J. Rehn , Arnab Sen , Kedar Damle , R. Moessner

By considering the appropriate finite-size effect, we explain the connection between Monte Carlo simulations of two-dimensional anisotropic Heisenberg antiferromagnet in a field and the early renormalization group calculation for the…

统计力学 · 物理学 2009-11-11 Chenggang Zhou , D. P. Landau , Thomas C. Schulthess

We study the Kondo--Heisenberg model on the honeycomb lattice at half-filling. Due to the vanishing of the density of states at the fermi level, the Kondo insulator disappears at a finite Kondo coupling even in the absence of the Heisenberg…

强关联电子 · 物理学 2007-05-23 Saeed Saremi , Patrick A. Lee

We investigate in some detail an alternative simulation strategy for lattice field theory based on the so-called worm algorithm introduced by Prokof'ev and Svistunov in 2001. It amounts to stochastically simulating the strong coupling…

高能物理 - 格点 · 物理学 2009-02-02 Ulli Wolff

We present detailed Monte Carlo results for a two-dimensional grain boundary model on a lattice. The effective Hamiltonian of the system results from the microscopic interaction of grains with orientations described by spins of unit length,…

凝聚态物理 · 物理学 2015-06-25 A. Jaster , H. Hahn

Critical and compensation properties of a mixed spin-1 and spin-3/2 Ising ferrimagnet on a square lattice are investigated by standard and histogram Monte Carlo simulations. The critical temperature is studied as a function of a single-ion…

统计力学 · 物理学 2012-12-24 M. Žukovič , A. Bobák

The classical and the quantum, spin $S=1/2, versions of the uniaxially anisotropic Heisenberg antiferromagnet on a square lattice in a field parallel to the easy axis are studied using Monte Carlo techniques. For the classical version,…

统计力学 · 物理学 2011-11-09 M. Holtschneider , S. Wessel , W. Selke

An efficient Monte Carlo algorithm for the simulation of spin models with long-range interactions is discussed. Its central feature is that the number of operations required to flip a spin is independent of the number of interactions…

统计力学 · 物理学 2007-05-23 Erik Luijten

We propose a tensor-network-based algorithm to study the classical Ising model on an infinitely large hyperbolic lattice with a regular 3D tesselation of identical dodecahedra. We reformulate the corner transfer matrix renormalization group…

统计力学 · 物理学 2026-03-06 Matej Mosko , Andrej Gendiar