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Spin-spin correlations are calculated in frustrated hierarchical Ising models that exhibit chaotic renormalization-group behavior. The spin-spin correlations, as a function of distance, behave chaotically. The far correlations, but not the…

Disordered Systems and Neural Networks · Physics 2009-03-15 Neşe Aral , A. Nihat Berker

Random tilings are interesting as idealizations of atomistic models of quasicrystals and for their connection to problems in combinatorics and algorithms. Of particular interest is the tiling entropy density, which measures the relation of…

Combinatorics · Mathematics 2015-09-21 Maxwell Hutchinson , Michael Widom

We demonstrate the relation of the infrared anomaly of conformal field theory with entropy considerations of finite temperature thermodynamics for the 3-state Potts chain. We compute the free energy and compute the low temperature specific…

High Energy Physics - Theory · Physics 2009-10-22 Rinat Kedem

The infinite-range-interaction Ising spin glass is considered in the presence of an external random magnetic field following a trimodal (three-peak) distribution. The model is studied through the replica method and phase diagrams are…

Statistical Mechanics · Physics 2009-10-31 J. M. de Araujo , F. D. Nobre , F. A. da Costa

A theory for thermodynamic induction (TI) under isothermal conditions is presented. This includes a treatment of the Helmholtz free energy budget available for a gate variable to utilize towards aiding another variable's approach towards…

Mesoscale and Nanoscale Physics · Physics 2021-10-07 S. N. Patitsas

The parallel-tempering method has been applied to numerically study the thermodynamic behavior of a three-dimensional disordered antiferromagnetic Ising model with random fields at spin concentrations corresponding to regions of both weak…

Disordered Systems and Neural Networks · Physics 2008-02-04 V. Prudnikov , A. Vakilov , E. Filikanov

We study the two-dimensional square lattice Ising ferromagnet and antiferromagnet with a magnetic field by using tensor network method. Focusing on the role of guage fixing, we present the partition function in terms of a tensor network.…

Statistical Mechanics · Physics 2025-01-03 Myung-Hoon Chung

We show that the low-energy sector of the S=1/2, antiferromagnetic Heisenberg model on a one-dimensional lattice of coupled tetrahedra consists of 2^N replica of the spectrum of the dimerized Heisenberg chain, where N is the number of…

Strongly Correlated Electrons · Physics 2009-10-31 M. Mambrini , J. Trebosc , F. Mila

We study the correlation functions of su(2) invariant spin-s chains in the thermodynamic limit. We derive non-linear integral equations for an auxiliary correlation function $\omega$ for any spin s and finite temperature T. For the spin-3/2…

Statistical Mechanics · Physics 2016-07-28 G. A. P. Ribeiro , A. Klümper

We numerically study the one-dimensional long-range Transverse Field Ising Model (TFIM) in the antiferromagnetic (AFM) regime at zero temperature using Generalized Hartree-Fock (GHF) theory. The spin-spin interaction extends to all spins in…

Quantum Physics · Physics 2023-05-10 Michael P. Kaicher , Davide Vodola , Simon B. Jäger

We employ a classical limit grounded in SU(4) coherent states to investigate the temperature-dependent dynamical spin structure factor of the $S = 1/2$ ladder consisting of weakly coupled dimers. By comparing the outcomes of this classical…

Strongly Correlated Electrons · Physics 2024-12-25 David A. Dahlbom , Jinu Thomas , Steven Johnston , Kipton Barros , Cristian D. Batista

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 thermodynamics of a site-diluted ferromagnetic Heisenberg model for spin $S=1/2$ with interaction anisotropy in spin space is investigated. The study is aimed at presenting the magnetocaloric properties of such a model, including the…

Statistical Mechanics · Physics 2013-04-09 Karol Szałowski , Tadeusz Balcerzak , Andrej Bobák

We show that a gapped spin-$S$ chain with antiferromagnetic (AFM) order exhibits in the thermodynamic limit exponentially localized fractional $\pm \frac{S}{2}$ edge modes when the system possesses U(1) symmetry. We show this for integrable…

Strongly Correlated Electrons · Physics 2025-06-05 Pradip Kattel , Yicheng Tang , J. H. Pixley , Natan Andrei

The Ising antiferromagnets on the triangular and on the pyrochlore lattices are two of the most iconic examples of magnetic frustration, paradigmatically illustrating many exotic properties such as emergent gauge fields, fractionalisation,…

Strongly Correlated Electrons · Physics 2024-02-02 Jonathan N. Hallén , Claudio Castelnovo , Roderich Moessner

Recently, spatial photonic Ising machines (SPIM) have been demonstrated to compute the minima of Hamiltonians for large-scale spin systems. Here we propose to implement an antiferromagnetic model through optoelectronic correlation computing…

Emerging Technologies · Computer Science 2021-11-15 Junyi Huang , Yisheng Fang , Zhichao Ruan

Using the quantum Monte Carlo Loop algorithm, we calculate the temperature dependence of the uniform susceptibility, the specific heat, the correlation length, the generalized staggered susceptibility and magnetization of a spin-1/2 chain…

Condensed Matter · Physics 2007-05-23 Beat Frischmuth , Manfred Sigrist , Beat Ammon , Matthias Troyer

We study the zero temperature quenching dynamics of various extensions of the transverse Ising model (TIM) when the transverse field is linearly quenched from $-\infty$ to $+\infty$ (or zero) at a finite and uniform rate. The rate of…

Statistical Mechanics · Physics 2008-01-18 Uma Divakaran , Amit Dutta

We derive a variational cluster approximation for Heisenberg spin systems at finite temperature based on the ideas of the self-energy functional theory by Potthoff for fermionic and bosonic systems with local interactions. Partitioning the…

Strongly Correlated Electrons · Physics 2015-06-19 Stephan Filor , Thomas Pruschke

We present a numerical study based on Monte Carlo algorithm of the magnetic properties of a mixed Ising ferrimagnetic model on a cubic lattice where spins $\sigma =\pm 1/2$ and spins $S=0,\pm 1$ are in alternating sites on the lattice. We…

Statistical Mechanics · Physics 2015-05-13 G. M. Buendia , N. Hurtado