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In a recent paper we found strong evidence from simulations that the Isingantiferromagnet on ``thin'' random graphs - Feynman diagrams - displayed amean-field spin glass transition. The intrinsic interest of considering such random graphs…

High Energy Physics - Lattice · Physics 2016-09-01 C. F. Baillie , W. Janke , D. A. Johnston , P. Plechac

By numerically solving the Schr\"oedinger equation for small sizes we investigate the quantum critical point of the infinite-range Ising spin glass in a transverse field at zero temperature. Despite its simplicity the method yields accurate…

Disordered Systems and Neural Networks · Physics 2009-10-28 David Lancaster , Felix Ritort

We investigate thermodynamic phase transitions of the joint presence of spin glass (SG) and random field (RF) using a random graph model that allows us to deal with the quenched disorder. Therefore, the connectivity becomes a controllable…

Disordered Systems and Neural Networks · Physics 2021-02-24 R. Erichsen , A. Silveira , S. G. Magalhaes

We study the low-field ground-state (GS) properties of the antiferromagnetic transverse-field Ising model with long-range interactions (afLRTFIM) on the triangular lattice. We use the method of perturbative continuous unitary…

Strongly Correlated Electrons · Physics 2024-02-19 J. A. Koziol , M. Mühlhauser , K. P. Schmidt

We develop a field theory for spin glasses using Replica Fourier Transforms (RFT). We present the formalism for the case of replica symmetry and the case of replica symmetry breaking on an ultrametric tree, with the number of replicas $n$…

Disordered Systems and Neural Networks · Physics 2015-06-23 I. R. Pimentel , C. De Dominicis

We introduce the functional field integral approach to study the statistics of quantum work under nonequilibrium conditions and derive the general formalism for a bilinear Hamiltonian with arbitrary time dependence. The method is then…

Strongly Correlated Electrons · Physics 2019-07-24 Jian-Jun Dong , Yi-feng Yang

The magnetic properties and phase diagrams of the mixed spin Ising model, with spins S=1 and {\sigma}=1/2 on a centered rectangular structure, have been investigated using Monte Carlo simulations based on the Metropolis algorithm. Every…

Statistical Mechanics · Physics 2022-09-21 Maen Gharaibeh , Rama Abu Haifa , Abdalla Obeidat , Mohammad H. A. Badarneh , M. K Qaseer

A general analysis of Meissner effect and spin susceptibility of a uniform superconductor in an asymmetric two-component fermion system is presented in nonrelativistic field theory approach. We found that, the pairing mechanism dominates…

High Energy Physics - Phenomenology · Physics 2009-09-09 Lianyi He , Meng Jin , Pengfei Zhuang

To study the critical Casimir force between chemically structured boundaries immersed in a binary mixture at its demixing transition, we consider a strip of Ising spins subject to alternating fixed spin boundary conditions. The system…

Statistical Mechanics · Physics 2016-01-21 Jerome Dubail , Raoul Santachiara , Thorsten Emig

We study the zero temperature static properties of dissipative ensembles of quantum Ising spins arranged on periodic one dimensional finite clusters and on an infinite chain. The spins interact ferro-magnetically with nearest-neighbour pure…

Disordered Systems and Neural Networks · Physics 2009-11-10 Leticia F. Cugliandolo , Gustavo S. Lozano , Homero Lozza

To gain a better understanding of the interplay between frustrated long-range interactions and zero-temperature quantum fluctuations, we investigate the ground-state phase diagram of the transverse-field Ising model with…

Strongly Correlated Electrons · Physics 2019-10-16 J. Koziol , S. Fey , S. C. Kapfer , K. P. Schmidt

Replica field theory for the Ising spin glass in zero magnetic field is studied around the upper critical dimension d=6. A scaling theory of the spin glass phase, based on Parisi's ultrametrically organised order parameter, is proposed. We…

Disordered Systems and Neural Networks · Physics 2009-10-31 T. Temesvari , C. De Dominicis , I. Kondor

Hamiltonians for general multi-state spin-glass systems with Ising symmetry are derived for both sequential and synchronous updating of the spins. The possibly different behaviour caused by the way of updating is studied in detail for the…

Disordered Systems and Neural Networks · Physics 2016-08-16 D. Bollé , J. Busquets Blanco

The magnetic behavior of a mixed Ising ferrimagnetic system on a square lattice, in which the two interpenetrating square sublattices have spins +- 1/2 and spins +-1,0, in the presence of an oscillating magnetic field has been studied with…

Condensed Matter · Physics 2009-10-31 G. M. Buendia , E. Machado

We propose and demonstrate a nonlinear optics approach to emulate Ising machines containing up to a million spins and with tailored two and four-body interactions with all-to-all connections. It uses a spatial light modulator to encode and…

Optics · Physics 2020-10-21 Santosh Kumar , He Zhang , Yu-Ping Huang

The Blume-Emery-Griffiths spin glass is studied by renormalization-group theory in d=3. The boundary between the ferromagnetic and paramagnetic phases has first-order and two types of second-order segments. This topology includes an…

Disordered Systems and Neural Networks · Physics 2009-03-07 V. Ongun Özçelik , A. Nihat Berker

An overview is given of experimental data on Heisenberg Spin Glass materials so as to make detailed comparisons with numerical results on model Heisenberg spin glasses, with particular reference to the chiral driven ordering transition…

Disordered Systems and Neural Networks · Physics 2015-05-13 I. A Campbell , Dorothée C. M. C. Petit

We study the thermodynamic properties and the phase diagrams of a multi-spin antiferromagnetic spherical spin-glass model using the replica method. It is a two-sublattice version of the ferromagnetic spherical p-spin glass model. We…

Disordered Systems and Neural Networks · Physics 2012-05-22 D. B. Liarte , C. S. O. Yokoi

The d=1 Ising ferromagnet and spin glass with long-range power-law interactions J r^-a is studied for all interaction range exponents a by a renormalization-group transformation that simultaneously projects local ferromagnetism and…

Statistical Mechanics · Physics 2025-09-25 E. Can Artun , A. Nihat Berker

The spin-1/2 Ising-Heisenberg model with the pair XYZ Heisenberg interaction and quartic Ising interactions is exactly solved by establishing a precise mapping relationship with the corresponding zero-field (symmetric) eight-vertex model.…

Statistical Mechanics · Physics 2015-05-13 Jozef Strecka , Lucia Canova , Kazuhiko Minami