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Extensive Monte Carlo simulations are used to investigate the low-temperature properties of the random anisotropy Heisenberg model, which describes the magnetic behavior of amorphous rare-earth-transition metal alloy. We show that the…

Disordered Systems and Neural Networks · Physics 2009-11-10 M. Itakura

The quantum spin-1/2 antiferromagnetic Heisenberg model on a two dimensional triangular lattice geometry with spatial anisotropy is relevant to describe materials like ${\rm Cs_2 Cu Cl_4}$ and organic compounds like…

Strongly Correlated Electrons · Physics 2011-11-09 Seiji Yunoki , Sandro Sorella

One-dimensional Heisenberg spin 1/2 chains with random ferro- and antiferromagnetic bonds are realized in systems such as $Sr_3 CuPt_{1-x} Ir_x O_6$. We have investigated numerically the thermodynamic properties of a generic random bond…

Disordered Systems and Neural Networks · Physics 2009-10-31 Beat Ammon , Manfred Sigrist

Quantum Monte Carlo (QMC) and density-matrix renormalization group (DMRG) methods are used to study the coupled spin-pseudospin Hamiltonian in one-dimension (1D) that models the charge-ordering instability of the anisotropic Hubbard ladder…

Strongly Correlated Electrons · Physics 2007-05-23 Y. Ohta , T. Nakaegawa , S. Ejima

Uniaxially (Z-axis) anisotropic Heisenberg ferromagnet, in presence of time dependent (but uniform over space) magnetic field, is studied by Monte Carlo simulation. The time dependent magnetic field was taken as elliptically polarised where…

Statistical Mechanics · Physics 2011-01-21 Muktish Acharyya

The spin-$\frac12$ triangular lattice antiferromagnetic Heisenberg model has been for a long time the prototypical model of magnetic frustration. However, only very recently this model has been proposed to be realized in the…

Strongly Correlated Electrons · Physics 2022-03-30 Matías G. Gonzalez , Bernard Bernu , Laurent Pierre , Laura Messio

We study the low-temperature properties of a classical Heisenberg model with site-random interlayer couplings on the cubic lattice. This model is introduced as a simplified effective model of Sr(Fe$_{1-x}$Mn$_{x}$)O$_2$, which was recently…

Materials Science · Physics 2015-03-19 Ryo Tamura , Naoki Kawashima , Takafumi Yamamoto , Cedric Tassel , Hiroshi Kageyama

We have studied by Monte Carlo simulations the thermal behaviour of a small (N=13 particles) cluster described by a Heisenberg model, including nearest-neighbour ferromagnetic interactions and radial surface anisotropy, in an applied…

Statistical Mechanics · Physics 2016-08-16 Laura Hernández , Claire Pinettes

Experimental quest for the hypothetical "quantum spin liquid" state has recently met a few promising candidate materials including organic salts \kappa-(ET)2Cu2(CN)3 and EtMe3Sb[Pd(dmit)2]2, S=1/2 triangular-lattice Heisenberg…

Strongly Correlated Electrons · Physics 2015-06-17 Ken Watanabe , Hikaru Kawamura , Hiroki Nakano , Toru Sakai

Fluctuation-dissipation (FD) relation of the three-dimensional Heisenberg spin glass with weak random anisotropy is studied by off-equilibrium Monte Carlo simulation. Numerically determined FD ratio exhibits a ``one-step-ike''behavior, the…

Disordered Systems and Neural Networks · Physics 2009-11-07 Hikaru Kawamura

We examine the phase diagram of the spin-$1$ $J_1-J_2-J_3$ ferromagnetic Heisenberg model with an easy-plane crystal field on the cubic lattice, in which $J_1$ is the ferromagnetic exchange interaction between nearest neighbors, $J_2$ is…

Strongly Correlated Electrons · Physics 2016-03-02 D. C. Carvalho , A. S. T. Pires , L. A. S. Mól

We investigate the ground-state properties of the highly degenerate non-coplanar phase of the classical bilinear-biquadratic Heisenberg model on the triangular lattice with Monte Carlo simulations. For that purpose, we introduce an Ising…

Strongly Correlated Electrons · Physics 2013-09-09 Sandro Wenzel , Sergey E. Korshunov , Karlo Penc , Frédéric Mila

We present results of a Monte Carlo simulation of an Heisenberg Spin Glass model on a hipercubic cell of size 2 in {\it D} dimensions. Each spin interacts with {\it D} nearest neighbors and the lattice is expected to recover the completely…

Condensed Matter · Physics 2007-05-23 Daniel A. Stariolo

Hysteresis and the non-equilibrium dynamic phase transition in thin magnetic films subject to an oscillatory external field have been studied by Monte Carlo simulation. The model under investigation is a classical Heisenberg spin system…

Statistical Mechanics · Physics 2009-10-31 Hyunbum Jang , Malcolm J Grimson

A two-dimensional half-filled lattice gas model with nearest-neighbor attractive interaction is studied where particles are coupled to two thermal baths at different temperatures $T_1$ and $T_2$. The hopping of particles is governed by the…

Statistical Mechanics · Physics 2009-10-31 Attila Szolnoki

In response to recent proton spin relaxation-time measurements on NiCu(pba)(H$_2$O)$_3$$\cdot$2H$_2$O with ${pba}=1,3{-propylenebis(oxamato)}$, which is an excellent one-dimensional ferrimagnetic Heisenberg model system of spin-$(1,{1/2})$,…

Strongly Correlated Electrons · Physics 2009-10-31 Shoji Yamamoto

We present extensive Monte Carlo simulations for a classical antiferromagnetic Heisenberg model with both nearest ($J_1$) and next-nearest ($J_2$) exchange couplings on the square lattice coupled to the lattice degrees of freedom. The…

Strongly Correlated Electrons · Physics 2009-11-11 Cedric Weber , Federico Becca , Frederic Mila

We investigate a quantum Heisenberg model with both antiferromagnetic and disordered nearest-neighbor couplings. We use an extended dynamical mean-field approach, which reduces the lattice problem to a self-consistent local impurity problem…

Disordered Systems and Neural Networks · Physics 2009-11-13 S. Burdin , D. R. Grempel , M. Grilli

A Monte Carlo simulation is performed in a cubic lattice of interacting identical Stoner-Woldfarth nanoparticles. The model system is a randomly-anisotropic Heisenberg spin system with a small anisotropy-to-exchange ratio D/J = 3.5. The dc…

Statistical Mechanics · Physics 2009-03-10 Ha M. Nguyen , Pai-Yi Hsiao

We study the phase transition behavior of a frustrated Heisenberg model on a stacked triangular lattice by Monte Carlo simulations. The model has three types of interactions: the ferromagnetic nearest-neighbor interaction $J_1$ and…

Statistical Mechanics · Physics 2013-11-28 Ryo Tamura , Shu Tanaka