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Lectures on the Random Field Ising Model From Parisi-Sourlas Supersymmetry to Dimensional Reduction
This book is about the Random Field Ising Model (RFIM) – a paradigmatic spin model featuring a frozen disordering field. The focus is on the...
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Free field realization of the BMS Ising model
In this work, we study the inhomogeneous BMS free fermion theory, and show that it gives a free field realization of the BMS Ising model. We find...
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Transverse Ising Model, Glass and Quantum Annealing
In many physical systems, cooperative interactions between spin-like (two-state) degrees of freedom tend to establish some kind of order in the...
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2D triangular Ising model with bond phonons: an entropic simulation study
AbstractIn this work, we study and evaluate the impact of a periodic spin–lattice coupling in an Ising-like system on a 2D triangular lattice. Our...
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One-Qubit Transverse-Field Ising Model and Variational Quantum Algorithms
We give a first introduction to combinatorial optimization with the Ising model and its quantum counterpart. We start investigating the basics of the...
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Translation-invariant Gibbs measures for the Ising–Potts model on a second-order Cayley tree
AbstractWe consider a mixed-type model given by the three-state Ising–Potts model on a Cayley tree. A criterion for the existence of limit Gibbs...
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Features of a Spin Glass in the Random Field Ising Model
A longstanding open question in the theory of disordered systems is whether short-range models, such as the random field Ising model or the...
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Inverse problem for the quartic mean-field Ising model
This paper presents a thorough examination of the thermodynamic limit of the pressure function for the mean-field Ising model with four-body...
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Two-Qubit Transverse-Field Ising Model and Entanglement
We discuss the two-qubit transverse-field Ising model. We introduce entanglement measures. We show how to compute entanglement and unveil its...
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Quantum Approximation Optimization Algorithm for the Ising Model in an External Magnetic Field
AbstractA representation of the Ising model in a longitudinal magnetic field on a quantum computer is introduced. The ansatz of the wave function of...
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Analytic and numerical bootstrap for the long-range Ising model
We combine perturbation theory with analytic and numerical bootstrap techniques to study the critical point of the long-range Ising (LRI) model in...
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Bootstrap, Markov Chain Monte Carlo, and LP/SDP hierarchy for the lattice Ising model
Bootstrap is an idea that imposing consistency conditions on a physical system may lead to rigorous and nontrivial statements about its physical...
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Easy bootstrap for the 3D Ising model: a hybrid approach of the lightcone bootstrap and error minimization methods
As a simple lattice model that exhibits a phase transition, the Ising model plays a fundamental role in statistical and condensed matter physics. The...
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Finite-Size Effects of the One-Dimensional Ising Model
The one-dimensional Ising model is revisited in order to study the finite-size scaling behavior near its zero critical temperature by following the...
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Free energy, entropy, and magnetization of a one-dimensional Ising model of a diluted magnet
AbstractWe consider a one-dimensional Ising model (chain) with the the nearest-neighbor interaction and with a random nonmagnetic dilution. We...
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Entanglement entropy as a marker of phase transition in the Ising model
The uniform two-dimensional tensor network of the partition function is interpreted as a multiple product of the one-dimensional quantum Hamiltonian,...
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Jamming and metastability in one dimension: from the kinetically constrained Ising chain to the Riviera model
The Ising chain with kinetic constraints provides many examples of totally irreversible zero-temperature dynamics leading to metastability with an...
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Zero-Temperature Stochastic Ising Model on Planar Quasi-Transitive Graphs
We study the zero-temperature stochastic Ising model on some connected planar quasi-transitive graphs, which are invariant under rotations and...
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