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The ferromagnetic Ising model on an $n\times n$ square lattice region $\Lambda$ with mixed boundary conditions can exhibit a phase transition as temperature varies. For this spin system, if we fix the spins on the top and bottom sides of…

Discrete Mathematics · Computer Science 2026-05-26 David Gillman , Dana Randall

Graphity models are characterized by configuration spaces in which states correspond to graphs and Hamiltonians that depend on local properties of graphs such as the degrees of vertices and numbers of short cycles. As statistical systems,…

High Energy Physics - Theory · Physics 2008-11-26 Tomasz Konopka

Results are presented for the geometry of low-energy excitations in the one-dimensional Ising spin chain with power-law interactions, in which the model parameters are chosen to yield a finite spin-glass transition temperature. Both…

Disordered Systems and Neural Networks · Physics 2007-05-23 Helmut G. Katzgraber , A. P. Young

We obtain the exact physical characteristics of the triple-chain Ising model on a torus with all possible multispin interactions invariant with respect to rotation by the angle $2\pi / 3$. The exact value of the partition function in a…

Statistical Mechanics · Physics 2024-06-18 Pavel Khrapov , Nikita Volkov

The low-temperature series for the free energy density, pressure, magnetization and susceptibility of cubic ideal ferromagnets in weak external magnetic fields are discussed within the effective Lagrangian framework up to three loops. The…

Strongly Correlated Electrons · Physics 2015-11-11 Christoph P. Hofmann

The thermodynamic properties of ferromagnetic spin chains have been analyzed with a variety of microscopic methods over the years: Bethe ansatz, spin-wave theory, Schwinger-boson mean-field theory, Green functions and renormalization group…

Strongly Correlated Electrons · Physics 2013-05-29 Christoph P. Hofmann

The magnetic behaviour of gadolinium gallium garnet in an external magnetic field at zero temperature is considered. For high fields a classical spin model of the gadolinium ions predicts a spin configuration that is periodic at the level…

Mesoscale and Nanoscale Physics · Physics 2021-09-14 M. Ancliff , V. Sachnev , N. d'Ambrumenil

While phases and phase transitions are conventionally described by local order parameters in real space, we present a unified framework characterizing the phase transition through the geometry of configuration space defined by the…

Statistical Mechanics · Physics 2026-05-21 Yu-Jing Liu , Wen-Yu Su , Yong-Feng Yang , Nvsen Ma , Chen Cheng

Extensive Monte Carlo study of two-dimensional Ising model is done to investigate the statistical behavior of spin clusters and interfaces as a function of temperature, $T$. We use a \emph{tie-breaking} rule to define interfaces of spin…

Statistical Mechanics · Physics 2009-07-17 A. A. Saberi

We consider a classical spin model, of two-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 regime.…

Other Condensed Matter · Physics 2014-11-19 Aditi Sen De , Ujjwal Sen , Jan Wehr , Maciej Lewenstein

The investigation of the dynamics of quantum many-body systems is a concerted effort involving computational studies of mathematical models and experimental studies of material samples. Some commonalities of the two tracks of investigation…

Strongly Correlated Electrons · Physics 2007-05-23 Gerhard Muller , Michael Karbach

Recent developments concerning localized-magnon eigenstates in strongly frustrated spin lattices and their effect on the low-temperature physics of these systems in high magnetic fields are reviewed. After illustrating the construction and…

Strongly Correlated Electrons · Physics 2009-11-11 J. Richter

The field-cooled magnetization (FCM) processes of Ising spin glasses under relatively small fields are investigated by experiment on Fe_{0.55}Mn_{0.45}TiO_3 and by numerical simulation on the three-dimensional Edwards-Anderson model. Both…

Disordered Systems and Neural Networks · Physics 2009-11-10 Petra E. Jonsson , Hajime Takayama

A bit-quantum map relates probabilistic information for Ising spins or classical bits to quantum spins or qubits. Quantum systems are subsystems of classical statistical systems. The Ising spins can represent macroscopic two-level…

Quantum Physics · Physics 2019-10-23 C. Wetterich

We report results of magnetic susceptibility, specific heat, and muon spin relaxation ($\mu$SR) measurements on the polycrystalline Ba$_6$Nd$_2$Ti$_4$O$_{17}$, a disorder-free triangular-lattice antiferromagnet. The absence of long-range…

Strongly Correlated Electrons · Physics 2024-11-21 C. Y. Jiang , B. L. Chen , K. W. Chen , J. C. Jiao , Y. Wang , Q. Wu , N. Y. Zhang , M. Y. Zou , P. -C. Ho , O. O. Bernal , L. Shu

The global coupling of few-level quantum systems ("spins") to a discrete set of bosonic modes is a key ingredient for many applications in quantum science, including large-scale entanglement generation, quantum simulation of the dynamics of…

Quantum Gases · Physics 2016-12-07 Michael L. Wall , Arghavan Safavi-Naini , Ana Maria Rey

We present measurements of the dynamics of a polarized magnetic environment coupled to the flux degree of freedom of rf-SQUID flux qubits. The qubits are used as both sources of polarizing field and detectors of the environmental…

Quantum Physics · Physics 2020-04-02 T. Lanting , M. H. Amin , C. Baron , M. Babcock , J. Boschee , S. Boixo , V. N. Smelyanskiy , M. Foygel , A. G. Petukhov

As powerful as machine learning (ML) techniques are in solving problems involving data with large dimensionality, explaining the results from the fitted parameters remains a challenging task of utmost importance, especially in physics…

Disordered Systems and Neural Networks · Physics 2024-04-15 Roberto C. Alamino

We study the correlation functions of quantum spin $1/2$ ladders at finite temperature, under a magnetic field, in the gapless phase at various relevant temperatures $T\neq 0$, momentum $q$ and frequencies $\omega$. We compute those…

Strongly Correlated Electrons · Physics 2019-05-15 N. Kestin , T. Giamarchi

We study a p-spin spin-glass model to understand if the finite-temperature glass transition found in the mean-field regime of p-spin models, and used to model the behavior of structural glasses, persists in the non-mean-field regime. By…

Disordered Systems and Neural Networks · Physics 2010-02-18 Derek Larson , Helmut G. Katzgraber , M. A. Moore , A. P. Young
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