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We determine the arrangement of spins in the ground state of the XY model with quenched, random fields, on a fully connected graph. Two types of disordered fields are considered, namely randomly oriented magnetic fields, and randomly…

Statistical Mechanics · Physics 2024-04-01 Rajiv G Pereira , Ananya Janardhanan , Mustansir Barma

We consider the effects of the non-local Ising-like "core spin" correlations on the order-parameter fluctuation contribution to the resistivity and thermodynamics of metals showing Ising-like order at finite temperature. We employ the…

Superconductivity · Physics 2010-10-07 Mukul S. Laad , Luis Craco

We study the equilibrium properties of an Ising model on a disordered random network where the disorder can be quenched or annealed. The network consists of four-fold coordinated sites connected via variable length one-dimensional chains.…

Statistical Mechanics · Physics 2015-06-22 Abdul N. Malmi-Kakkada , Oriol T. Valls , Chandan Dasgupta

Ising models, and the physical systems described by them, play a central role in generating entangled states for use in quantum metrology and quantum information. In particular, ultracold atomic gases, trapped ion systems, and Rydberg atoms…

We present some exact results for the effect of disorder on the critical properties of an anisotropic XY spin chain in a transverse field. The continuum limit of the corresponding fermion model is taken and in various cases results in a…

Disordered Systems and Neural Networks · Physics 2009-10-31 J. E. Bunder , Ross H. McKenzie

We study the kinetics after a low temperature quench of the one-dimensional Ising model with long range interactions between spins at distance $r$ decaying as $r^{-\alpha}$. For $\alpha =0$, i.e. mean field, all spins evolve coherently…

Statistical Mechanics · Physics 2021-05-19 Federico Corberi , Alessandro Iannone , Manoj Kumar , Eugenio Lippiello , Paolo Politi

We study the generation and propagation of local perturbations in a quantum many-body spin system. In particular, we study the Ising model in transverse field in the presence of a local field defect at one edge. This system possesses a rich…

Quantum Gases · Physics 2016-12-07 G. Francica , T. J. G. Apollaro , N. Lo Gullo , F. Plastina

The equilibrium behavior of a system of elastic layers under tension in the presence of correlated disorder is studied using functional renormalization group techniques. The model exhibits many of the features of the Bose glass phase of…

Condensed Matter · Physics 2009-10-22 Leon Balents

Discrete-spin systems with maximally random nearest-neighbor interactions that can be symmetric or asymmetric, ferromagnetic or antiferromagnetic, including off-diagonal disorder, are studied, for the number of states $q=3,4$ in $d$…

Disordered Systems and Neural Networks · Physics 2018-09-18 Bora Atalay , A. Nihat Berker

For the generalized Ising models with all possible interactions within a face of the square lattice the formulas for finding partition function and free energy per lattice site in the thermodynamic limit were derived on a certain, in the…

Statistical Mechanics · Physics 2020-11-24 Pavel Khrapov

We consider an Ising model where longitudinal components of every pair of spins have antiferromagnetic interaction of the same magnitude. When subjected to a transverse magnetic field at zero temperature, the system undergoes a phase…

Statistical Mechanics · Physics 2015-05-14 Anindita Ganguli , Subinay Dasgupta

The AR$_2$O$_4$ family (R = rare earth) have recently been attracting interest as a new series of frustrated magnets, with the magnetic R atoms forming zigzag chains running along the $c$-axis. We have investigated polycrystalline…

Strongly Correlated Electrons · Physics 2015-06-22 A. A. Aczel , L. Li , V. O. Garlea , J. -Q. Yan , F. Weickert , M. Jaime , B. Maiorov , R. Movshovich , L. Civale , V. Keppens , D. Mandrus

We describe why Ising spin chains with competing interactions in $\rm SrHo_2O_4$ segregate into ordered and disordered ensembles at low temperatures ($T$). Using elastic neutron scattering, magnetization, and specific heat measurements, the…

Strongly Correlated Electrons · Physics 2015-02-27 J. -J. Wen , W. Tian , V. O. Garlea , S. M. Koohpayeh , T. M. McQueen , H. -F. Li , J. -Q. Yan , J. A. Rodriguez-Rivera , D. Vaknin , C. L. Broholm

We consider time evolution of order parameters and entanglement asymmetries in the ferromagnetic phase of the transverse-field Ising chain. One side of the system is prepared in a ferromagnetic ground state and the other side either in…

Statistical Mechanics · Physics 2025-05-22 Vanja Marić , Florent Ferro , Maurizio Fagotti

The one-parameter scaling theory of localization predicts that all states in a disordered two-dimensional system with broken time reversal symmetry are localized even in the presence of strong spin-orbit coupling. While at constant strong…

Disordered Systems and Neural Networks · Physics 2017-06-27 Ying Su , C. Wang , Y. Avishai , Yigal Meir , X. R. Wang

We study the random transverse field Ising model on a finite Cayley tree. This enables us to probe key questions arising in other important disordered quantum systems, in particular the Anderson transition and the problem of dirty bosons on…

Disordered Systems and Neural Networks · Physics 2023-12-18 Ankita Chakrabarti , Cyril Martins , Nicolas Laflorencie , Bertrand Georgeot , Éric Brunet , Gabriel Lemarié

The phenomenon of Anderson localization of waves in elastic systems is studied. We analyze this phenomenon in two different set of systems: disordered linear chains of harmonic oscillators and disordered rods which oscillate with torsional…

Classical Physics · Physics 2023-07-19 R. A. Mendez-Sanchez , L. Gutierrez , A. Morales , J. Flores , A. Diaz-de-Anda , G. Monsivais

We explore the effect of disorder on a few-boson system in a finite one-dimensional quasiperiodic potential covering the full interaction ranging from uncorrelated to strongly correlated particles. We apply numerically exact…

Quantum Gases · Physics 2025-02-21 Barnali Chakrabarti , Arnaldo Gammal

We examine the stability of magnetic order in a classical Heisenberg model with quenched random exchange couplings. This system represents the spin degrees of freedom in high-$T_\textrm{c}$ compounds with immobile dopants. Starting from a…

Disordered Systems and Neural Networks · Physics 2009-11-07 Frank Krüger , Stefan Scheidl

The random field Ising model in three dimensions with Gaussian random fields is studied at zero temperature for system sizes up to 60^3. For each realization of the normalized random fields, the strength of the random field, Delta and a…

Statistical Mechanics · Physics 2009-11-07 Ilija Dukovski , Jon Machta
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