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We present a detailed functional renormalization group analysis of spin-1/2 dipolar Heisenberg model on square lattice. This model is similar to the well known $J_1$-$J_2$ model and describes the pseudospin degrees of freedom of polar…

Quantum Gases · Physics 2018-06-08 Ahmet Keles , Erhai Zhao

We have studied the critical properties of the three-dimensional random anisotropy Heisenberg model by means of numerical simulations using the Parallel Tempering method. We have simulated the model with two different disorder…

Disordered Systems and Neural Networks · Physics 2022-10-12 J. J. Ruiz-Lorenzo , M. Dudka , Yu. Holovatch

We study the two-dimensional paramagnetic Anderson-Hubbard model using an extension of dynamical mean-field theory that allows us to treat disorder and strong electronic correlations on equal footing. We investigate the scaling of the…

Strongly Correlated Electrons · Physics 2009-11-13 Yun Song , R. Wortis , W. A. Atkinson

The majority of magnetic materials possess some degree of magnetic anisotropy, either at the level of a single ion, or in the exchange interactions between different magnetic ions. Where these exchange interactions are also frustrated, the…

Strongly Correlated Electrons · Physics 2011-05-18 Luis Seabra , Nic Shannon

We study the two-body bound states of a model Hamiltonian that describes the interaction between two field-oriented dipole moments. This model has been used extensively in many-body physics of ultracold polar molecules and magnetic atoms,…

Quantum Physics · Physics 2018-12-12 Tijs Karman , Matthew D. Frye , John D. Reddel , Jeremy M. Hutson

We show results from Monte Carlo simulations of a two dimensional Heisenberg model for ultrathin films with perpendicular anisotropy. A complete phase diagram is obtained as a function of anisotropy and temperature, spanning a wide range of…

Disordered Systems and Neural Networks · Physics 2009-11-13 Marianela Carubelli , Orlando V. Billoni , Santiago Pighin , Sergio A. Cannas , Daniel A. Stariolo , Francisco A. Tamarit

The effects of locally random magnetic fields are considered in a nonequilibrium Ising model defined on a square lattice with nearest-neighbors interactions. In order to generate the random magnetic fields, we have considered random…

Statistical Mechanics · Physics 2009-11-13 N. Crokidakis

Motivated by the magnetic phase transition of a proximate Kitaev system $\alpha$-RuCl$_3$ in the presence of a magnetic field, we study the simplest but essential quantum spin model with the ferromagnetic nearest neighboring (NN) Kitaev…

Strongly Correlated Electrons · Physics 2020-10-14 Beom Hyun Kim , Shigetoshi Sota , Tomonori Shirakawa , Seiji Yunoki , Young-Woo Son

We study the phase diagram of two different Hamiltonians with competiting local, nearest-neighbour, and mean-field couplings. The first example corresponds to the HMF Hamiltonian with an additional short-range interaction. The second…

Statistical Mechanics · Physics 2010-06-17 Thierry Dauxois , Pierre de Buyl , Leonardo Lori , Stefano Ruffo

We analytically study the ground-state quantum phase transition between the Haldane phase and the large-$D$ (LD) phase of the $S=1/2$ ferromagnetic-antiferromagnetic alternating Heisenberg chain with on-site anisotropy. We transform this…

Condensed Matter · Physics 2009-10-28 Kiyomi Okamoto

Spontaneous symmetry breaking of 2D isotropic Heisenberg magnet is restricted by Mermin-Wagner theorem at any finite temperature in presence of short-range exchange interaction.Kosterlitz and Thouless using XY spin model showed that how an…

Statistical Mechanics · Physics 2023-08-22 Nepal Banerjee

We present numerical results for an $S=1/2$ Heisenberg antiferromagnet on a inhomogeneous square lattice with tunable interaction between spins belonging to different plaquettes. Employing Quantum Monte Carlo, we significantly improve on…

Strongly Correlated Electrons · Physics 2008-10-07 A. Fabricio Albuquerque , Matthias Troyer , Jaan Oitmaa

Magnetic phase diagram and Mott transition are studied in the Hubbard model on the anisotropic triangular lattice at zero temperature and half-filling by the variational cluster approximation, taking into account N\'eel, 120$^\circ$ N\'eel,…

Strongly Correlated Electrons · Physics 2015-06-18 A. Yamada

A model for a Heisenberg antiferromagnet on a pyrochlore lattice with exchange and dipole-dipole interactions is studied via mean-field theory. In treating the dipoles by use of the Ewald method, a soft (critical) mode with a unique…

Statistical Mechanics · Physics 2007-05-23 Matthew Enjalran , Michel J. P. Gingras

We investigate the two-dimensional classical Heisenberg model with a nonlinear nearest-neighbor interaction V(s,s')=2K[(1+s.s')/2 ]^p. The analogous nonlinear interaction for the XY model was introduced by Domany, Schick, and Swendsen, who…

Statistical Mechanics · Physics 2009-11-07 Henk W. J. Bloete , Wenan Guo , Henk J. Hilhorst

Magnetic phase transition (MPT) to magnetic quasi-long-range order (QLRO) phase in a three-dimensional Heisenberg weak (D/J=4) random anisotropy (RA) model is investigated by Monte Carlo simulation. The isotropic and cubic distributions of…

Statistical Mechanics · Physics 2009-03-23 Ha M. Nguyen , Pai-Yi Hsiao

We investigate numerically the magnetic properties of the 3D Isotropic and Anisotropic Hubbard model at half-filling. The behavior of the transition temperature as a function of the anisotropic hopping parameter is qualitatively described.…

Strongly Correlated Electrons · Physics 2007-05-23 Isabel Campos , James W. Davenport

Motivated by experiments on (Sr,Ca,La)_14 Cu_24 O_41, a two-dimensional Ising model with mobile defects and a two-dimensional anisotropic Heisenberg antiferromagnet have been proposed and studied recently. We extend previous investigations…

Statistical Mechanics · Physics 2007-05-23 M. Holtschneider , R. Leidl , W. Selke

The field-theoretical result for the low-$T$ behaviour of the correlation length of the quantum Heisenberg antiferromagnet on the square lattice was recently improved by Hasenfratz [Eur. Phys. J. B {\bf 13}, 11 (2000)], who corrected for…

Statistical Mechanics · Physics 2007-05-23 Bernard B. Beard , Alessandro Cuccoli , Ruggero Vaia , Paola Verrucchi

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…

Strongly Correlated Electrons · Physics 2015-05-12 Szymon Murawski , Konrad Jerzy Kapcia , Grzegorz Pawłowski , Stanisław Robaszkiewicz
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