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We present analytical results for the strongly anisotropic random field Ising model, consisting of weakly interacting spin chains. We combine the mean-field treatment of interchain interactions with an analytical calculation of the average…

Statistical Mechanics · Physics 2009-10-31 Marc Thilo Figge , Maxim V. Mostovoy , Jasper Knoester

We introduce a geometric generalization of the O(N)-field theory that describes N-colored membranes with arbitrary dimension D. As the O(N)-model reduces in the limit N->0 to self-avoiding polymers, the N-colored manifold model leads to…

Condensed Matter · Physics 2009-07-10 Kay Joerg Wiese , Mehran Kardar

The RP(2) gauge model is studied in 2D. We use Monte-Carlo renormalization techniques for blocking the mean spin-spin interaction, <A>, and the mean gauge field plaquette, <P>. The presence of the O(3) renormalized trajectory is verified…

High Energy Physics - Lattice · Physics 2009-10-31 S. M. Catterall , M. Hasenbusch , R. R. Horgan , R. L. Renken

The field induced quantum phase transitions in the disorder-free and disordered samples of the spin ladder material (CH_3)_2CHNH_3Cu(Cl_{1-x}Br_x)_3 are studied using magnetic calorimetry and magnetic neutron diffraction on single crystal…

Strongly Correlated Electrons · Physics 2018-06-06 G. S. Perren , W. E. A. Lorenz , E. Ressouche , A. Zheludev

The mean-field optical phase transition in multimode equal-coupling photonic networks is studied by temporal evolution of the nonlinear equations of motion of the coupled modes. Analogies to statistical mechanics models of interacting…

Computational Physics · Physics 2022-03-18 Oliver Melchert

Ground state and low-energy excitations of the quasi-one-dimensional antiferromagnet CuSe$_2$O$_5$ were experimentally studied using bulk magnetization, neutron diffraction, muon spin relaxation and antiferromagnetic resonance measurements.…

Strongly Correlated Electrons · Physics 2015-06-12 M. Herak , A. Zorko , M. Pregelj , O. Zaharko , G. Posnjak , Z. Jagličić , A. Potočnik , H. Luetkens , J. van Tol , A. Ozarowski , H. Berger , D. Arčon

Anisotropic antiferromagnetic systems of dimensionality greater than one in an external field are shown to exhibit a complicated array of ground states depending on the spin structure of the surface. The simplest structure that exhibits…

Materials Science · Physics 2009-11-10 B. A. Ivanov , C. E. Zaspel , A. Yu. Merkulov

The critical behavior of semi-infinite $d$-dimensional systems with $n$-component order parameter $\bm{\phi}$ and short-range interactions is investigated at an $m$-axial bulk Lifshitz point whose wave-vector instability is isotropic in an…

Statistical Mechanics · Physics 2007-05-23 H. W. Diehl , A. Gerwinski , S. Rutkevich

A non-perturbative Renormalization Group approach is used to calculate scaling functions for an O(4) model in d=3 dimensions in the presence of an external symmetry-breaking field. These scaling functions are important for the analysis of…

High Energy Physics - Theory · Physics 2008-11-26 Jens Braun , Bertram Klein

We consider classical spin models of two- and three-dimensional spins with continuous symmetry and investigate the effect of a symmetry-breaking unidirectional quenched disorder on the magnetization of the system. We work in the mean-field…

Disordered Systems and Neural Networks · Physics 2014-12-03 Anindita Bera , Debraj Rakshit , Maciej Lewenstein , Aditi Sen De , Ujjwal Sen , Jan Wehr

Continuous spin models with long-range interactions of the form $r^{-\sigma}$, where $r$ is the distance between two spins and $\sigma$ controls the decay of the interaction, exhibit enhanced order that competes with thermal disturbances,…

Statistical Mechanics · Physics 2025-07-15 Jiewei Ding , Jiahao Su , Ho-Kin Tang , Wing Chi Yu

We study effects of interladder coupling on critical magnetic properties of spin ladder systems doped with small concentrations of nonmagnetic impurities, using the scaling theory together with quantum Monte Carlo (QMC) calculations.…

Condensed Matter · Physics 2009-10-30 Masatoshi Imada , Youichirou Iino

We present a new unified theory of critical finite-size scaling for lattice statistical mechanical models with periodic boundary conditions above the upper critical dimension. Our theory is based on recent mathematically rigorous results…

Statistical Mechanics · Physics 2026-03-02 Yucheng Liu , Jiwoon Park , Gordon Slade

We study the quenched disordered magnetic system, which is obtained from the 2D SO(3) quantum Heisenberg model, on a square lattice, with nearest neighbors interaction, by taking a Gaussian random distribution of couplings centered in an…

Strongly Correlated Electrons · Physics 2015-05-13 C. M. S. da Conceição , E. C. Marino

We report an experimental assessment of surface kinetic roughening properties that are anisotropic in space. Working for two specific instances of silicon surfaces irradiated by ion-beam sputtering under diverse conditions (with and without…

Materials Science · Physics 2015-06-11 Edoardo Vivo , Matteo Nicoli , Martin Engler , Thomas Michely , Luis Vázquez , Rodolfo Cuerno

There has been considerable debate on the onset of exotic spin phenomena in quantum wires due to enhanced many-body effects caused by the one-dimensional (1D) alignment of charge carriers. We explain various observed spin effects, such as a…

Mesoscale and Nanoscale Physics · Physics 2015-02-17 Alfredo X. Sánchez , Jean-Pierre Leburton

We investigate the scaling of the R\'enyi $\alpha$-entropies in one-dimensional gapped quantum spin models. We show that the block entropies with $\alpha > 2$ violate the area law monotonicity and exhibit damped oscillations. Depending on…

Strongly Correlated Electrons · Physics 2012-08-06 S. M. Giampaolo , S. Montangero , F. Dell'Anno , S. De Siena , F. Illuminati

We consider anisotropic long-range interacting spin systems in $d$ dimensions. The interaction between the spins decays with the distance as a power law with different exponents in different directions: we consider an exponent…

Statistical Mechanics · Physics 2016-12-14 Nicolò Defenu , Andrea Trombettoni , Stefano Ruffo

A mean field model is presented for the configuration dependent effective demagnetizing and anisotropy fields in assemblies of exchange decoupled magnetic particles of arbitrary shape which are expressed in terms of the demagnetizing…

Mesoscale and Nanoscale Physics · Physics 2014-08-27 Juan Manuel Martinez-Huerta , Armando Encinas , Joaquin De La Torre Medina , Luc Piraux

Experimental systems with a first order phase transition will often exhibit hysteresis when out of equilibrium. If defects are present, the hysteresis loop can have different shapes: with small disorder the hysteresis loop has a macroscopic…

Condensed Matter · Physics 2007-05-23 Olga Perkovic , Karin A. Dahmen , James P. Sethna