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We introduce a finite dimensional anharmonic soft spin glass in a field and show how it allows the construction a field theory at zero temperature and the corresponding loop expansion. The mean field level of the model coincides with a…

Disordered Systems and Neural Networks · Physics 2022-08-31 Pierfrancesco Urbani

We present the complete zero temperature phase diagram of a model for ultrathin films with perpendicular anisotropy. The whole parameter space of relevant coupling constants is studied in first order anisotropy approximation. Because the…

Disordered Systems and Neural Networks · Physics 2011-10-05 Santiago A. Pighin , Orlando V. Billoni , Daniel A. Stariolo , Sergio A. Cannas

Effect of Gaussian random magnetic field distribution which is centered at zero on the phase transition properties of isotropic quantum Heisenberg model has been investigated on two (2D) and three dimensional (3D) lattices within the…

Statistical Mechanics · Physics 2016-08-17 Ümit Akıncı

This paper determines the zero-temperature equation of state for the massive Thirring / sine-Gordon model. This demonstrates recently derived model-independent upper and lower bounds on the zero-temperature equation of state with fixed…

Nuclear Theory · Physics 2026-05-11 Eric Oevermann , Thomas D. Cohen

The Ising-like anisotropy parameter $\delta$ in the Kondo necklace model is analyzed using the bond-operator method at zero and finite temperatures for arbitrary $d$ dimensions. A decoupling scheme on the double time Green's functions is…

Strongly Correlated Electrons · Physics 2009-11-13 D. Reyes , M. A. Continentino , Han-Ting Wang

We consider the zero temperature coarsening in the Ising model in two dimensions where the spins interact within the Moore neighbourhood. The Hamiltonian is given by $H = - \sum_{<i,j>}{S_iS_j} - \kappa \sum_{<i,j'>}{S_iS_{j'}}$ where the…

Statistical Mechanics · Physics 2017-07-07 Pratik Mullick , Parongama Sen

Heat capacity measurements on the prototypical three-dimensional random-field Ising model compound Fe0.58Zn0.42F2 have been performed in both of the field-cooling (FC) and zero-field-cooling (ZFC) procedures. There is no evidence of…

Materials Science · Physics 2009-10-31 J. Satooka , H. Aruga Katori , A. Tobo , K. Katsumata

We study the influence of surface anisotropy on the zero-temperature hysteretic properties of a small single-domain magnetic particle, and give an estimation of the anisotropy constant for which deviations from the Stoner-Wohlfarth model…

Statistical Mechanics · Physics 2009-11-07 M. Dimian , H. Kachkachi

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

We investigate the nonequilibrium dynamics following a quench to zero temperature of the non-conserved Ising model with power-law decaying long-range interactions $\propto 1/r^{d+\sigma}$ in $d=2$ spatial dimensions. The zero-temperature…

Statistical Mechanics · Physics 2021-05-26 Henrik Christiansen , Suman Majumder , Wolfhard Janke

Neutron measurements of the equilibration of the staggered magnetization in DyAs(0.35)V(0.65)O4 are compared with Monte Carlo simulations of spin dynamics in a planar random-anisotropy magnet. The simulation results are in agreement with…

Materials Science · Physics 2008-11-03 Donald R. Taylor , Orlando V. Billoni , Sergio A. Cannas , Francisco A. Tamarit

An Ising antiferromagnet on a stacked triangular lattice in zero field is studied by Monte Carlo simulations, focusing on the character of the low-temperature phase and the effect of the relative strength of the exchange interaction in the…

Statistical Mechanics · Physics 2016-03-04 M. Žukovič , L. Mižišin , A. Bobák

We have performed studies of the 3D random field $XY$ model on $L \times L \times L$ simple cubic lattices with periodic boundary conditions, with a random field strength of $h_r$ = 1.875, for $L =$ 64, 96 and 128, using a parallelized…

Statistical Mechanics · Physics 2019-04-16 Ronald Fisch

In this paper we present a Monte Carlo study of the critical behavior of the easy axis anisotropic Heisenberg spin model in two dimensions. Based on the partial knowledge of the zeros of the energy probability distribution we determine with…

Computational Physics · Physics 2022-07-26 Gabriel Bruno Garcia de Souza , Bismarck Vaz da Costa

Mott insulators with strong spin-orbit coupling display a strongly anisotropic response to applied magnetic fields. This applies in particular to Kitaev materials, with $\alpha$-RuCl$_3$ and Na$_2$IrO$_3$ representing two important…

Strongly Correlated Electrons · Physics 2020-10-06 Eric C. Andrade , Lukas Janssen , Matthias Vojta

Via Monte Carlo studies of the frustrated XY or classical planar model we demonstrate the possibility of a finite (nonzero) temperature spin/gauge glass phase in two dimensions. Examples of both periodic and quasiperiodic two dimensional…

Condensed Matter · Physics 2009-10-28 R. W. Reid , S. K. Bose , B. Mitrovic

Transport properties of the classical antiferromagnetic XXZ model on the square lattice have been theoretically investigated, putting emphasis on how the occurrence of a phase transition is reflected in spin and thermal transports. As is…

Strongly Correlated Electrons · Physics 2019-10-16 Kazushi Aoyama , Hikaru Kawamura

We study the mean field dilute model of a ferromagnet. We find and prove an expression for the free energy density at high temperature, and at temperature zero. We find the critical line of the model, separating the phase with zero…

Statistical Mechanics · Physics 2009-11-13 Luca De Sanctis , Francesco Guerra

The two dimensional electron gas (2DEG) in moderate magnetic fields in ultra-clean AlAs-GaAs heterojunctions exhibits transport anomalies suggestive of a compressible, anisotropic metallic state. Using scaling arguments and Monte Carlo…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Eduardo Fradkin , Steven A. Kivelson , Efstratios Manousakis , Kwangsik Nho

It is known by now that amorphous solids at zero temperature do not possess a nonlinear elasticity theory: besides the shear modulus which exists, all the higher order coefficients do not exist in the thermodynamic limit. Here we show that…

Soft Condensed Matter · Physics 2016-06-15 Itamar Procaccia , Corrado Rainone , Carmel Shor , Murari Singh