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We provide evidence for spin glass related magnetic gaps in the fermionic density of states below the freezing temperature. Model calculations are presented and proposed to be relevant for explaining resistivity measurements which observe a…

Disordered Systems and Neural Networks · Physics 2009-10-30 R. Oppermann , B. Rosenow

We have analyzed a fermionic infinite-ranged quantum Heisenberg spin glass with BCS coupling in real space in the presence of a magnetic field. It has been possible to locate the transition line between the normal paramagnetic phase (NP)…

Statistical Mechanics · Physics 2007-05-23 S. G. Magalhaes , A. A. Schmidt

We discuss the possibility of spin glass order in the vicinity of the unexpected metallic state of the two-dimensional electron gas in zero applied magnetic field. An average ferromagnetic moment may also be present, and the spin glass…

Strongly Correlated Electrons · Physics 2009-11-07 Subir Sachdev

This review gives an overview of the quantum phase transition (QPT) problem in metallic ferromagnets, discussing both experimental and theoretical aspects. These QPTs can be classified with respect to the presence and strength of quenched…

Strongly Correlated Electrons · Physics 2016-06-02 M. Brando , D. Belitz , F. M. Grosche , T. R. Kirkpatrick

The spherical Sherrington-Kirkpatrick model is a spherical mean field model for spin glass. We consider the fluctuations of the free energy at arbitrary non-critical temperature for the 2-spin model with no magnetic field. We show that in…

Probability · Mathematics 2016-09-21 Jinho Baik , Ji Oon Lee

We study the relaxation dynamics of a Hamiltonian system of N fully-coupled XY spins. The thermodynamics of the system predicts a ferromagnetic and a paramagnetic phase. Starting from out-of-equilibrium initial conditions, the dynamics at…

Statistical Mechanics · Physics 2016-08-31 Alessandro Pluchino , Vito Latora , Andrea Rapisarda

The interpretation of the magnetic phase diagrams of strongly correlated electron systems remains controversial. In particular, the physics of quantum phase transitions, which occur at zero temperature, is still enigmatic. Heavy-fermion…

Strongly Correlated Electrons · Physics 2012-11-08 W. Knafo , S. Raymond , P. Lejay , J. Flouquet

The spin-1/2 quantum Heisenberg model is studied in all spatial dimensions d by renormalization-group theory. Strongly asymmetric phase diagrams in temperature and antiferromagnetic bond probability p are obtained in dimensions d \geq 3.…

Disordered Systems and Neural Networks · Physics 2009-11-13 C. Nadir Kaplan , A. Nihat Berker

We perform a magneto-optical study of a two-dimensional electron systems (2DES) in the regime of the Stoner ferromagnetic instability for even quantum Hall filling factors on Mg$_x$Zn$_{1-x}$O/ZnO heterostructures. Under conditions of…

Mesoscale and Nanoscale Physics · Physics 2017-12-06 A. B. Van'kov , B. D. Kaysin , I. V. Kukushkin

When considering magnetic systems in the thermodynamic limit and at low enough temperature, one finds typically magnetically ordered phases. In contrast, in the high-temperature regime, the interactions between the spin degrees of freedom…

Strongly Correlated Electrons · Physics 2025-01-27 Sylvain Capponi

We study the phase transition in a face-centered-cubic antiferromagnet with Ising spins as a function of the concentration $p$ of ferromagnetic bonds randomly introduced into the system. Such a model describes the spin-glass phase at strong…

Statistical Mechanics · Physics 2014-03-05 V. Thanh Ngo , D. Tien Hoang , Hung T. Diep , I. A. Campbell

We study, using simulations the dynamical properties of complex ferromagnetic granular materials. The system of grains is modeled by a disordered two-dimensional lattice in which the grains are embedded, while the magnitude and direction of…

Mesoscale and Nanoscale Physics · Physics 2011-11-10 Ran Itay , Shlomo Havlin , Richard Berkovits

We investigate thermodynamic phases, including the phase of coexistence of superconductivity and ferromagnetism, the possible phase transitions of first and second order, and the shape of the phase diagram in mean-field approximation for a…

Superconductivity · Physics 2009-11-10 D. V. Shopova , D. I. Uzunov

Over the past 50 years, spin glass models have generated a broad range of literature in mathematics, physics, and computer science. There has been much progress in characterizing and proving the limiting free energy of various models,…

Probability · Mathematics 2025-11-10 Elizabeth Collins-Woodfin , Han Gia Le

We study the magnetic properties of a mixed Ising ferrimagnetic system, in which the two interacting sublattices have spins $\sigma$, $(\pm 1/2)$ and spins $S$, $(\pm 3/2,\pm 1/2)$ in the presence of a random crystal field, with the mean…

Statistical Mechanics · Physics 2009-11-13 L. Bahmad , A. Benyoussef , A. El Kenz

A review is given on some recent developments in the theory of the Ising model in a random field. This model is a good representation of a large number of impure materials. After a short repetition of earlier arguments, which prove the…

Statistical Mechanics · Physics 2008-02-03 T. Nattermann

The ground-state phase diagram of an Ising spin-glass model on a random graph with an arbitrary fraction $w$ of ferromagnetic interactions is analysed in the presence of an external field. Using the replica method, and performing an…

Disordered Systems and Neural Networks · Physics 2012-10-12 M. O. Hase , J. R. L. de Almeida , S. R. Salinas

The competition between spin glass ($SG$) and antiferromagnetic order ($AF$) is analyzed in two sublattice fermionic Ising models in the presence of a transverse $\Gamma$ and a parallel $H$ magnetic fields. The exchange interaction follows…

Strongly Correlated Electrons · Physics 2015-06-25 F. M. Zimmer , S. G. Magalhaes

We derive the TAP equations for the fermionic Ising spin glass. It is found that, just as in the non-fermionic model, the conditions for stability and for validity of the free energy are equivalent. We determine the breakdown of the…

Disordered Systems and Neural Networks · Physics 2007-05-23 Martin Rehker , Reinhold Oppermann

In this paper we investigate the relationship between glassy and ferromagnetic phases in disordered Ising ferromagnets in the presence of transverse magnetic fields, $\Gamma$. Iterative mean field simulations probe the free energy landscape…

Disordered Systems and Neural Networks · Physics 2009-10-31 Ying-Jer Kao , G. S. Grest , K. Levin , J. Brooke , T. F. Rosenbaum , G. Aeppli
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