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In a $p$-spin interaction spherical spin-glass model both the spins and the couplings are allowed to change in the course of time. The spins are coupled to a heat bath with temperature $T$, while the coupling constants are coupled to a bath…

Disordered Systems and Neural Networks · Physics 2009-10-31 A. E. Allahverdyan , Th. M. Nieuwenhuizen , D. B. Saakian

We investigate the low temperature thermodynamics and correlation functions of one-dimensional spin-1/2 fermions with strong repulsion in an external magnetic field via the thermodynamic Bethe ansatz method. The exact thermodynamics of the…

Quantum Gases · Physics 2013-05-16 J. Y. Lee , X. W. Guan , K. Sakai , M. T. Batchelor

The statics of the Fredrickson-Andersen model (FAM) of the liquid-glass transition is solved on the Bethe lattice (BL). The kinetic constraints of the FAM imply on the BL an ergodicity-breaking transition to a (glassy) phase where a…

Disordered Systems and Neural Networks · Physics 2024-10-24 Gianmarco Perrupato , Tommaso Rizzo

We consider the transverse field Ising model with additional all-to-all interactions between the spins. We show that a mean-field treatment of this model becomes exact in the thermodynamic limit, despite the presence of 1D short-range…

Statistical Mechanics · Physics 2023-08-24 Etienne Granet

We present the results of finite-temperature classical Monte Carlo simulations of a strongly spin-orbit-coupled nearest-neighbor triangular-lattice model for the candidate $\mathrm{U}(1)$ quantum spin liquid $\mathrm{YbMgGaO}_4$ at large…

Strongly Correlated Electrons · Physics 2018-05-14 Edward Parker , Leon Balents

We consider a system of Ising spins s=1/2 with nonmagnetic impurities with charge associated with pseudospin S=1. The charge density is fixed pursuant to the concentration n. Analysis of the thermodynamic properties in the one-dimensional…

Statistical Mechanics · Physics 2024-01-30 D. N. Yasinskaya , Yu. D. Panov

We investigate magnetism and quantum phase transitions in a one-dimensional system of integrable spin-1 bosons with strongly repulsive density-density interaction and antiferromagnetic spin exchange interaction via the thermodynamic Bethe…

Quantum Gases · Physics 2009-12-22 J. Y. Lee , X. W. Guan , M. T. Batchelor , C. Lee

We investigate in detail the phase diagrams of the p-body +/-J Ising model with and without random fields on random graphs with fixed connectivity. One of our most interesting findings is that a thermodynamic spin glass phase is present in…

Disordered Systems and Neural Networks · Physics 2011-04-14 Yoshiki Matsuda , Hidetoshi Nishimori , Lenka Zdeborová , Florent Krzakala

Phase transitions in a modified Nishimori model, including the model considered by Kitatani, on a two-dimensional square lattice are investigated using a tensor-network-based sampling scheme. In this model, generating bond configurations is…

Disordered Systems and Neural Networks · Physics 2026-03-20 Takumi Oshima , Yamato Arai , Koji Hukushima

We investigate the Ising model on finite subgraphs of the hyperbolic lattice under minus boundary conditions and in the presence of a positive external field $h$. Interpreting the boundary as frozen or cold wall conditions, we show that,…

Probability · Mathematics 2025-10-08 Vanessa Jacquier , Wioletta M. Ruszel

We analyze the infinite range Ising spin-glass in a transverse-field below the critical temperature by a one step replica symmetry theory(1S-RSB). The set of n replicas is divided in r blocks of m replicas each. We present results for…

Disordered Systems and Neural Networks · Physics 2009-11-11 Eduardo M. M. Santos , Alba Theumann

We investigate the critical properties of the Ising model in two dimensions on {\it directed} small-world lattice with quenched connectivity disorder. The disordered system is simulated by applying the Monte Carlo update heat bath…

Disordered Systems and Neural Networks · Physics 2013-07-04 Ediones M. Sousa , F. W. S. Lima

We investigate the low temperature behaviour of the integrable 1D two-component spinor Bose gas using the thermodynamic Bethe ansatz. We find that for strong coupling the characteristics of the thermodynamics at low temperatures are…

Statistical Mechanics · Physics 2007-10-22 X. -W. Guan , M. T. Batchelor , M. Takahashi

We numerically compute the temperature dependence of spin structure factor and thermodynamic quantities in the antiferromagnetic quantum Ising model in the pyrochlore lattice. This model exhibits spin disorder ground state with…

Statistical Mechanics · Physics 2015-06-03 Cheng-Ju Lin , Chen-Nan Liao , Chyh-Hong Chern

We present results of numerical simulations on a one-dimensional Ising spin glass with long-range interactions. Parameters of the model are chosen such that it is a proxy for a short-range spin glass above the upper critical dimension (i.e.…

Disordered Systems and Neural Networks · Physics 2016-02-17 Matthew Wittmann , A. P. Young

The random-bond XY spin glass with ferromagnetic next-nearest-neighbour interactions is studied on a square lattice by Monte Carlo simulations. We find strong evidence for a finite-temperature spin glass transition at $T_c\approx 1.1$. We…

Disordered Systems and Neural Networks · Physics 2009-09-25 S. Jain , K. J. Hammarling

We study the d-dimensional random Ising model using a Bethe-Peierls approximation in the framework of the replica method. We take into account the correct interaction only inside replicated clusters of spins. Our ansatz is that the…

Condensed Matter · Physics 2009-10-28 M. Serva , G. Paladin

We investigate the connection between the well known Sherrington-Kirkpatrick Ising Spin Glass and the corresponding Lattice Gas model by analyzing the relation between their thermodynamical functions. We present results of replica approach…

Statistical Mechanics · Physics 2009-10-30 Francesco M. Russo

The thermal phase transitions of a spin-1/2 Ising-Heisenberg model on the diamond-decorated square lattice in a magnetic field are investigated using a decoration-iteration transformation and classical Monte Carlo simulations. A generalized…

Statistical Mechanics · Physics 2023-04-18 Jozef Strecka , Katarina Karlova , Taras Verkholyak , Nils Caci , Stefan Wessel , Andreas Honecker

Critical phenomena of ferromagnetic transition at finite temperatures are studied in double-exchange systems. In order to investigate strong interplay between charge and spin degrees of freedom, Monte Carlo technique is applied to include…

Strongly Correlated Electrons · Physics 2009-11-07 Yukitoshi Motome , Nobuo Furukawa