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The magnetic phase diagram and the thermodynamic properties of a square lattice containing antiferromagnetically coupled spin-1/2 triangles are studied. A Heisenberg Hamiltonian with three strong intra-triangle exchange coupling constants…

Strongly Correlated Electrons · Physics 2009-10-31 Stefan Wessel , Stephan Haas

The O(N) model of layered antiferro- and ferromagnets with a weak interlayer coupling and/or easy-axis anisotropy is considered. A renormalization group (RG) analysis in this model is performed, the results for N=3 being expected to agree…

Condensed Matter · Physics 2009-10-30 V. Yu. Irkhin , A. A. Katanin

The coupled cluster method (CCM) is applied to the spin-one anisotropic Heisenberg antiferromagnet (HAF) on the square lattice at zero temperature using a new high-order CCM ground-state formalism for general quantum spin number ($s \ge…

Strongly Correlated Electrons · Physics 2007-05-23 D. J. J. Farnell , K. A. Gernoth , R. F. Bishop

We study three antiferromagnetic formulations of the O(3) spin model in three dimensions by means of Monte Carlo simulations: 1. a two parameter $\sigma$ model with nearest and next to nearest neighbors couplings in a cubic lattice; 2. a…

The two-dimensional Kondo lattice model with both nearest and next-nearest neighbor exchange interactions is studied within a mean-field approach and its phase diagram is determined. In particular, we allow for lattice translation symmetry…

Strongly Correlated Electrons · Physics 2007-05-23 Angsula Ghosh , E. Miranda

A combination of competing exchange interactions and substitutional disorder gives rise to magnetic inhomogeneities in the [Y$_{2-x}$Mn$_x$]MnMnMn$_4$O$_{12}$ $x = 0.23$ and $x = 0.16$ quadruple perovskite manganites. Our neutron powder…

Strongly Correlated Electrons · Physics 2023-08-16 A. M. Vibhakar , D. D. Khalyavin , P. Manuel , N. J. Steinke , L. Zhang , K. Yamaura , A. A. Belik , R. D. Johnson

We present numerical results of a model calculation for the 3He bilayer system, which captures the interplay between fast and slow dynamics of the different layers and incorporates an independent scale for the three body ring exchange. By…

Strongly Correlated Electrons · Physics 2015-02-13 Jan Werner , Fakher F. Assaad

We study the one-dimensional spin-1/2 Heisenberg model with antiferromagnetic nearest-neighbor J_1 and next-nearest-neighbor J_2 exchange couplings in magnetic field h. With varying dimensionless parameters J_2/J_1 and h/J_1, the ground…

Statistical Mechanics · Physics 2015-03-14 T. Hikihara , T. Momoi , A. Furusaki , H. Kawamura

The relaxation and complex magnetic susceptibility treatments of a spin-3/2 Blume-Capel model with quenched random crystal field on a two dimensional square lattice are investigated by a method combining the statistical equilibrium theory…

Statistical Mechanics · Physics 2015-06-11 Erol Vatansever , Hamza Polat

Monte Carlo simulations are used to study lattice gases of particles with extended hard cores on a two dimensional square lattice. Exclusions of one and up to five nearest neighbors (NN) are considered. These can be mapped onto hard squares…

Statistical Mechanics · Physics 2007-05-23 Heitor C. Marques Fernandes , Jeferson J. Arenzon , Yan Levin

We present first-principles results on the electronic and magnetic properties of the cubic bulk $\beta$-phase of iron(III) oxide (Fe$_2$O$_3$). Given that all Fe-Fe magnetic couplings are expected to be antiferromagnetic within this…

Materials Science · Physics 2024-12-06 Priyanka Mishra , Carmine Autieri

We have extended the canonical tree tensor network (TTN) method, which was initially introduced to simulate the zero-temperature properties of quantum lattice models on the Bethe lattice, to finite temperature simulations. By representing…

Strongly Correlated Electrons · Physics 2019-09-18 Dai-Wei Qu , Wei Li , Tao Xiang

We present evidence of coexistence of electron paramagnetic resonance signal and anti-ferromagnetic resonance signals above the anti-ferromagnetic (AFM) transition ($T_N$) in $Pr_{0.5}Ca_{0.5}MnO_3$. We identify the latter with AFM rare…

Strongly Correlated Electrons · Physics 2018-02-21 Vinay Kumar Shukla , Soumik Mukhopadhyay

We study the q-state Potts model on the simple cubic lattice with ferromagnetic interactions in one lattice direction, and antiferromagnetic interactions in the two other directions. As the temperature T decreases, the system undergoes a…

Statistical Mechanics · Physics 2016-09-07 Chengxiang Ding , Henk W. J. Bloete , Youjin Deng

We show that the study of critical properties of the Blume-Capel model at two dimensions can be deduced from Monte Carlo simulations with good accuracy even for small system sizes when one analyses the behaviour of the zeros of the…

Statistical Mechanics · Physics 2024-09-10 Leïla Moueddene , Nikolaos G Fytas , Yurij Holovatch , Ralph Kenna , Bertrand Berche

We consider the Blume-Capel model with the quantum tunneling between the excited states. We find a magnetically ordered phase transition induced by quantum fluctuation in a model. The model has no phase transition in the corresponding…

Statistical Mechanics · Physics 2007-05-23 Norikazu Todoroki , Seiji Miyashita

A major challenge in realizing antiferromagnetic (AF) and superfluid phases in optical lattices is the ability to cool fermions. We determine the equation of state for the 3D repulsive Fermi-Hubbard model as a function of the chemical…

Quantum Gases · Physics 2015-05-28 Thereza Paiva , Yen Lee Loh , Mohit Randeria , Richard T. Scalettar , Nandini Trivedi

We investigate the nature of trions, pairing and quantum phase transitions in one-dimensional strongly attractive three-component ultracold fermions in external fields. Exact results for the groundstate energy, critical fields,…

Statistical Mechanics · Physics 2009-06-20 X. W. Guan , M. T. Batchelor , C. Lee , H. -Q. Zhou

We present the results of Monte Carlo simulations for the antiferromagnetic classical XXZ model with easy-plane exchange anisotropy on the triangular lattice, which causes frustration of the spin alignment. The behaviour of this system is…

Statistical Mechanics · Physics 2009-10-30 Luca Capriotti , Ruggero Vaia , Alessandro Cuccoli , Valerio Tognetti

We study nonanalytic paramagnetic response of an interacting Fermi system both away and in the vicinity of a ferromagnetic quantum phase transition (QCP). Previous studies found that (i) the spin susceptibility scales linearly with either…

Strongly Correlated Electrons · Physics 2009-11-13 Dmitrii L. Maslov , Andrey V. Chubukov