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We explore a transverse-field Ising model that exhibits both spontaneous symmetry-breaking and eigenstate thermalization. Within its ferromagnetic phase, the exact eigenstates of the Hamiltonian of any large but finite-sized system are all…

Statistical Mechanics · Physics 2014-08-12 Bo Zhao , Merritt C. Kerridge , David A. Huse

We study a spin system with both mixed even-spin Sherrington-Kirkpatrick (SK) couplings and Curie-Weiss (CW) interaction. Our main results are: (i) The thermodynamic limit of the free energy is given by a variational formula involving the…

Probability · Mathematics 2012-12-03 Wei-Kuo Chen

Multiplex networks consist of a fixed set of nodes connected by several sets of edges which are generated separately and correspond to different networks ("layers"). Here, the Ising model on multiplex networks with two layers is considered,…

Statistical Mechanics · Physics 2017-03-10 Andrzej Krawiecki

We describe the interplay of quantum and thermal fluctuations in the infinite-range Heisenberg spin glass. This model is generalized to SU(N) symmetry, and we describe the phase diagram as a function of the spin S and the temperature T. The…

Strongly Correlated Electrons · Physics 2009-10-31 A. Georges , O. Parcollet , S. Sachdev

In a study of the ferromagnetic phase of a multilayer digital ferromagnetic semiconductor in the mean-field and effective-mass approximations, we find the exchange interaction to have the dominant energy scale of the problem, effectively…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 J. Fernández-Rossier , L. J. Sham

We analyze the steady state regime of systems interpolating between spin glasses and ferromagnets under a tapping dynamics recently introduced by analogy with the dynamics of mechanically perturbed granular media. A crossover from a second…

Statistical Mechanics · Physics 2009-11-07 A. Lefèvre , D. S. Dean

Electrons in a two-dimensional semiconducting heterostructure interact with nuclear spins via the hyperfine interaction. Using a a Kondo lattice formulation of the electron-nuclear spin interaction, we show that the nuclear spin system…

Strongly Correlated Electrons · Physics 2015-06-25 Pascal Simon , Daniel Loss

We have investigated analitycally the phase diagram of a generalized spherical version of the Blume-Emery-Griffiths model that includes ferromagnetic or antiferromagnetic spin interactions as well as quadrupole interactions in zero and…

Statistical Mechanics · Physics 2009-10-31 S. E. Savel'ev , Guillermo Ramirez-Santiago

We investigate the quantum phase transition of itinerant ferromagnets. It is shown that correlation effects in the underlying itinerant electron system lead to singularities in the order parameter field theory that result in an effective…

Statistical Mechanics · Physics 2017-09-27 Thomas Vojta , D. Belitz , T. R. Kirkpatrick , R. Narayanan

We examine the phase diagram of the $p$-interaction spin glass model in a transverse field. We consider a spherical version of the model and compare with results obtained in the Ising case. The analysis of the spherical model, with and…

Disordered Systems and Neural Networks · Physics 2015-06-25 Theo M. Nieuwenhuizen , Felix Ritort

It is shown that the quantum phase transition in metallic non-s-wave ferromagnets, or spin nematics, is generically of first order. This is due to a coupling of the order parameter to soft electronic modes that play a role analogous to that…

Strongly Correlated Electrons · Physics 2013-10-01 T. R. Kirkpatrick , D. Belitz

We study the Ising model under a time-varying, but spatially homogeneous, Gaussian random magnetic field. In the Monte Carlo simulations, we go beyond the standard analysis of the order parameter by measuring the magnetization probability…

Statistical Mechanics · Physics 2026-03-30 Sara Oliver-Bonafoux , Raul Toral , Amitabha Chakrabarti

Magnetic phase transitions between ordered phases are often understood on the basis of semi-classical spin models. Deviations from the classical description due to the quantum nature of the atomic spins as well as quantum fluctuations are…

Strongly Correlated Electrons · Physics 2026-05-19 Tobias Dannegger , Imre Hagymási , Levente Rózsa , Ulrich Nowak

R$_2$Mo$_2$O$_7$ compounds show a ferromagnetic metal-insulator spin glass transition tuned by the radius of the rare earth ion R$^{3+}$. We have studied Gd$_2$Mo$_2$O$_7$ located on the verge of the transition, by neutron diffraction on a…

Strongly Correlated Electrons · Physics 2007-05-23 I. Mirebeau , A. Apetrei , I. Goncharenko , D. Andreica , P. Bonville , J. P. Sanchez , A. Amato , E. Suard , W. A. Crichton

The statistical mechanics of a two-state Ising spin-glass model with finite random connectivity, in which each site is connected to a finite number of other sites, is extended in this work within the replica technique to study the phase…

Statistical Mechanics · Physics 2011-06-20 R. Erichsen , W. K. Theumann

We discuss a general formalism that allows study of transitions over barriers in spin glasses with long-range interactions that contain large but finite number, $N$, of spins. We apply this formalism to the Sherrington-Kirkpatrick model…

Disordered Systems and Neural Networks · Physics 2009-10-30 L. B. Ioffe , D. Sherrington

We study the spin-$1/2$ ferromagnetic Heisenberg-Kitaev-$\Gamma$ model in the anisotropic (Toric code) limit to reveal the nature of the quantum phase transition between the gapped $Z_2$ quantum spin liquid and a spin ordered phase (driven…

Strongly Correlated Electrons · Physics 2021-01-04 Animesh Nanda , Kusum Dhochak , Subhro Bhattacharjee

A zero temperature dynamics of Ising spin glasses and ferromagnets on random graphs of finite connectivity is considered, like granular media these systems have an extensive entropy of metastable states. We consider the problem of what…

Statistical Mechanics · Physics 2009-11-07 David S. Dean , Alexandre Lefèvre

Antiferromagnetic Ising spins on the scale-free Barabasi-Albert network are studied via the Monte Carlo method. Using the replica exchange algorithm, we calculate the temperature dependence of various physical quantities of interest…

Disordered Systems and Neural Networks · Physics 2009-11-11 M. Bartolozzi , T. Surungan , D. B. Leinweber , A. G. Williams

Quantum skyrmionic phase is modelled in a 2D helical spin lattice. This topological skyrmionic phase retains its nature in a large parameter space before moving to a ferromagnetic phase. Next nearest-neighbour interaction improves the…

Strongly Correlated Electrons · Physics 2023-04-18 Vipin Vijayan , L. Chotorlishvili , A. Ernst , S. S. P. Parkin , M. I. Katsnelson , S. K. Mishra