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We investigate the phase transitions in a coupled system of Ising spins and a fluctuating network. Each spin interacts with $q$ neighbors through links of the rewiring network. The Ising spins and the network are in thermal contact with the…

Statistical Mechanics · Physics 2017-04-19 Jong-Min Park , Jae Dong Noh

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

Using previous results from boundary conformal field theory and integrability, a phase diagram is derived for the 2 dimensional Ising model at its bulk tri-critical point as a function of boundary magnetic field and boundary spin-coupling…

Statistical Mechanics · Physics 2008-11-26 Ian Affleck

We study the spin n-point functions of the planar Ising model on a simply connected domain \Omega discretised by the square lattice \delta\mathbb{Z}^{2} under near-critical scaling limit. While the scaling limit on the full-plane \mathbb{C}…

Probability · Mathematics 2019-07-09 S. C. Park

We introduce a new approach to disordered two-dimensional Ising models based on the extension of the combinatorial solution to randomized supercells. Applying it to the site-diluted Ising model on the square lattice, we resolve the full…

Statistical Mechanics · Physics 2026-03-24 Riccardo Ben Alì Zinati , Giacomo Gori , Alessandro Codello

In this note, we discuss the low and high temperature contribution of Thermodynamic Bethe Ansatz (TBA) dressed excitations in the thermodynamics and energy-magnetization relaxation within the Generalized Hydrodynamics approach in the linear…

Statistical Mechanics · Physics 2020-01-06 A. Pavlis , X. Zotos

We propose a Thermodynamic Bethe Ansatz (TBA) for G_k x G_l / G_{k+l} conformal coset models (G any simply-laced Lie algebra) perturbed by their operator \phi_{1,1,Adj}. An interesting adjacency structure appears and can be depicted in a…

High Energy Physics - Theory · Physics 2009-10-22 F. Ravanini

The tricritical Ising CFT is the IR fixed-point of $\lambda\phi^6$ theory. It can be seen as a one-parameter family of CFTs connecting between an $\varepsilon$-expansion near the upper critical dimension 3 and the exactly solved minimal…

High Energy Physics - Theory · Physics 2025-12-11 Johan Henriksson

We propose an alternative, statistical, derivation of the Thermodynamic Bethe Ansatz based on the tree expansion of the Gaudin determinant. We illustrate the method on the simplest example of a theory with diagonal scattering and no bound…

High Energy Physics - Theory · Physics 2018-09-18 Ivan Kostov , Didina Serban , Dinh-Long Vu

We study the Ising model on affine preferential attachment models with general parameters. We identify the thermodynamic limit of several quantities, arising in the large graph limit, such as pressure per particle, magnetisation, and…

Probability · Mathematics 2025-04-08 Remco van der Hofstad , Rounak Ray

We study the spectrum of bound states of the three dimensional Ising model in the (h,beta) plane near the critical point. We show the existence of an unbinding line, defined as the boundary of the region where bound states exist. Numerical…

High Energy Physics - Lattice · Physics 2015-06-25 M. Caselle , M. Hasenbusch , P. Provero , K. Zarembo

The critical 2-dimensional Ising model is studied with four types boundary conditions: free, fixed ferromagnetic, fixed antiferromagnetic, fixed double antiferromagnetic. Using Bond Propagation algorithms with surface fields, we obtained…

Statistical Mechanics · Physics 2014-09-24 Xintian Wu , Nickolay Izmailyan

We investigate the thermodynamic limit of the one-dimensional ferromagnetic XXZ model with twisted (or antiperiodic ) boundary condition. It is shown that the distribution of the Bethe roots of the inhomogeneous Bethe Ansatz equations…

Mathematical Physics · Physics 2018-10-30 Yi Qiao , Zhirong Xin , Kun Hao , Junpeng Cao , Wen-Li Yang , Kangjie Shi , Yupeng Wang

We study the ferromagnetic transverse-field Ising model with quenched disorder at $T = 0$ in one and two dimensions by means of stochastic series expansion quantum Monte Carlo simulations using a rigorous zero-temperature scheme. Using a…

Strongly Correlated Electrons · Physics 2024-08-28 C. Krämer , J. A. Koziol , A. Langheld , M. Hörmann , K. P. Schmidt

We investigate the low-temperature critical behavior of the three dimensional random-field Ising ferromagnet. By a scaling analysis we find that in the limit of temperature $T \to 0$ the usual scaling relations have to be modified as far as…

Disordered Systems and Neural Networks · Physics 2015-06-25 U. Nowak , K. D. Usadel , J. Esser

The thermodynamic Bethe Ansatz equations arising in the context of the $AdS_5/CFT_4$ correspondence exhibit an important difference with respect to their analogues in relativistic integrable quantum field theories: their solutions (the Y…

High Energy Physics - Theory · Physics 2011-03-03 Andrea Cavaglià , Davide Fioravanti , Massimo Mattelliano , Roberto Tateo

This thesis contains three main parts, which are largely independent. In the first part we deal with the boundary bootstrap in supersymmetric factorized scattering theory. We give a description of supersymmetry in the case when the space is…

High Energy Physics - Theory · Physics 2007-11-21 Gabor Zsolt Toth

We consider superstrings on the pure-Ramond-Ramond $AdS_3\times S^3\times T^4$ background. Using the recently-proposed dressing factors for the worldsheet S matrix, we formulate the string hypothesis for the mirror Bethe-Yang equations, and…

High Energy Physics - Theory · Physics 2022-04-13 Sergey Frolov , Alessandro Sfondrini

In order to investigate the effects of connectivity and proximity in the specific heat, a special class of exactly solvable planar layered Ising models has been studied in the thermodynamic limit. The Ising models consist of repeated…

Statistical Mechanics · Physics 2018-06-05 Helen Au-Yang , Jacques H. H. Perk

We have found a simple criterion which allows for the straightforward determination of the order-disorder critical temperatures. The method reproduces exactly results known for the two dimensional Ising, Potts and $Z(N<5)$ models. It also…

High Energy Physics - Lattice · Physics 2009-10-22 J. Wosiek