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We establish a connection between ground states of local quantum Hamiltonians and thermal states of classical spin systems. For any discrete classical statistical mechanical model in any spatial dimension, we find an associated quantum…

量子物理 · 物理学 2012-03-05 W. Dür , M. Van den Nest

We study the low-temperature properties of the classical three-dimensional compass or $t_{2g}$ orbital model on simple-cubic lattices by means of comprehensive large-scale Monte Carlo simulations. Our numerical results give evidence for a…

统计力学 · 物理学 2015-01-19 Max H. Gerlach , Wolfhard Janke

It is shown, by means of Monte Carlo simulation and Finite Size Scaling analysis, that the Heisenberg spin glass undergoes a finite-temperature phase transition in three dimensions. There is a single critical temperature, at which both a…

无序系统与神经网络 · 物理学 2009-11-11 I. Campos , M. Cotallo-Aban , V. Martin-Mayor , S. Perez-Gaviro , A. Tarancon

Three different tensor network optimization algorithms are employed to accurately determine the ground state and thermodynamic properties of the spin-3/2 kagome Heisenberg antiferromagnet. We found that the $\sqrt{3} \times \sqrt{3}$ state,…

强关联电子 · 物理学 2016-09-20 Tao Liu , Wei Li , Gang Su

A numerical diagonalization technique with canonical Monte-Carlo simulation algorithm is used to study the phase transitions from low temperature (ordered) phase to high temperature (disordered) phase of spinless Falicov-Kimball model on a…

强关联电子 · 物理学 2015-03-20 Umesh K. Yadav , T. Maitra , Ishwar Singh

A Hamiltonian dynamics is defined for the XY model by adding a kinetic energy term. Thermodynamical properties (total energy, magnetization, vorticity) derived from microcanonical simulations of this model are found to be in agreement with…

统计力学 · 物理学 2014-10-13 Xavier Leoncini , Alberto D. Verga , Stefano Ruffo

Results are presented on analytic and computational analyses of the spin states associated with a 3D fcc lattice composed of ABC stacked kagome planes of magnetic ions with only long-range dipole-dipole interactions. Extending previous work…

We report a new classical spin liquid in which the collective flux degrees of freedom break the translation symmetry of the honeycomb lattice. This exotic phase exists in frustrated spin-orbit magnets where a dominant off-diagonal exchange,…

强关联电子 · 物理学 2019-07-02 Preetha Saha , Zhijie Fan , Depei Zhang , Gia-Wei Chern

Thermodynamic properties of the spinless Falicov-Kimball model are studied on a triangular lattice using numerical diagonalization technique with Monte-Carlo simulation algorithm. Discontinuous metal-insulator transition is observed at…

强关联电子 · 物理学 2011-12-16 Umesh K. Yadav , T. Maitra , Ishwar Singh

We consider a two dimensional Kondo lattice model with exchange J and hopping t in which three out of four impurity spins are removed in a regular way. At the particle-hole symmetric point the model may be studied with auxiliary field…

强关联电子 · 物理学 2013-05-29 F. F. Assaad

Using exact diagonalization, Monte-Carlo, and mean-field techniques, characteristic temperature scales for ferromagnetic order are discussed for the Ising and the classical anisotropic Heisenberg model on finite lattices in one and two…

介观与纳米尺度物理 · 物理学 2011-04-12 E. Y. Vedmedenko , N. Mikuszeit , T. Stapelfeldt , R. Wieser , M. Potthoff , A. Lichtenstein , R. Wiesendanger

Correlated systems with hexagonal layered structures have come to fore with renewed interest in Cobaltates, transition-metal dichalcogenides and GdI2. While superconductivity, unusual metal and possible exotic states (prevented from long…

强关联电子 · 物理学 2015-05-18 Umesh K. Yadav , T. Maitra , Ishwar Singh , A. Taraphder

High order ring-exchange interactions are crucial for the study of quantum fluctuations on highly frustrated systems. We present the first exact quantum Monte Carlo study of a model of hard-core bosons with sixth order ring-exchange…

量子气体 · 物理学 2013-03-01 Valéry Rousseau , Ka-Ming Tam , Mark Jarrell , Juana Moreno

In Volborthite, spin-1/2 moments form a distorted Kagom\'e lattice, of corner sharing isosceles triangles with exchange constants $J$ on two bonds and $J'$ on the third bond. We study the properties of such spin systems, and show that…

强关联电子 · 物理学 2007-09-29 Fa Wang , Ashvin Vishwanath , Yong Baek Kim

We examine the onset of classical topological order in a nearest-neighbor kagome ice model. Using Monte Carlo simulations, we characterize the topological sectors of the groundstate using a non-local cut measure which circumscribes the…

无序系统与神经网络 · 物理学 2011-04-07 Andrew J. Macdonald , Peter C. W. Holdsworth , Roger G. Melko

We investigate thermodynamic properties of a one-dimensional S=1/2 antiferromagnetic Heisenberg model coupled to a lattice distortion by a quantum Monte Carlo method. In particular we study how spin and lattice dimerize as a function of the…

统计力学 · 物理学 2009-10-31 Hiroaki Onishi , Seiji Miyashita

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

We investigate the properties of an effective Hamiltonian with competing interactions involving spin and chirality variables, relevant for the description of the {\it trimerized} version of the spin-1/2 {\it kagome} antiferromagnet. Using…

强关联电子 · 物理学 2008-12-08 Michel Ferrero , Federico Becca , Frédéric Mila

We present \texttt{ESpinS} (Esfahan Spin Simulation) package to evaluate the thermodynamic properties of spin systems described by a spin model Hamiltonian. In addition to the Heisenberg exchange term, the spin Hamiltonian can contain…

计算物理 · 物理学 2021-08-17 Nafise Rezaei , Mojtaba Alaei , Hadi Akbarzadeh

We use Monte Carlo simulations to identify the mechanism that allows for phase transitions in dipolar spin ice to occur and survive for applied magnetic field, H, much larger in strength than that of the spin-spin interactions. In the most…

无序系统与神经网络 · 物理学 2009-11-10 Jacob P. C. Ruff , Roger G. Melko , Michel J. P. Gingras