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The random first-order transition (RFOT) theory of the structural glass transition is reviewed in a pedagogical fashion. The rigidity that emerges in crystals and glassy liquids is of the same fundamental origin. In both cases, it…

Disordered Systems and Neural Networks · Physics 2015-11-20 Vassiliy Lubchenko

New low frequency ac susceptibility measurements on two different spin glasses show that cooling/heating the sample at a constant rate yields an essentially reversible (but rate dependent) X(T) curve; a downward relaxation of X occurs…

Disordered Systems and Neural Networks · Physics 2009-10-31 K. Jonason , E. Vincent , J. Hammann , J. P. Bouchaud , P. Nordblad

The gauge theory of spin glasses and statistical-mechanical formulation of error-correcting codes are reviewed with an emphasis on their similarities. For the gauge theory, we explain the functional identities on dynamical autocorrelation…

Disordered Systems and Neural Networks · Physics 2009-11-07 Hidetoshi Nishimori

The interplay between quantum fluctuations and disorder is investigated in a spin-glass model, in the presence of a uniform transverse field $\Gamma$, and a longitudinal random field following a Gaussian distribution with width $\Delta$.…

Statistical Mechanics · Physics 2017-03-08 S. G. Magalhaes , C. V. Morais , F. M. Zimmer , M. J. Lazo , F. D. Nobre

When a liquid freezes, a change in the local atomic structure marks the transition to the crystal. When a liquid is cooled to form a glass, however, no noticeable structural change marks the glass transition. Indeed, characteristic features…

Soft Condensed Matter · Physics 2015-11-24 Samuel S. Schoenholz , Ekin D. Cubuk , Daniel M. Sussman , Efthimios Kaxiras , Andrea J Liu

We use computer simulations to investigate the static properties of a simple glass-forming fluid in which the positions of a finite fraction of the particles has been frozen in. By probing the equilibrium distribution of the overlap between…

Disordered Systems and Neural Networks · Physics 2015-06-12 Walter Kob , Ludovic Berthier

In an effort to understand the glass transition, the dynamics of a non-randomly frustrated spin model has been analyzed. The phenomenology of the spin model is similar to that of a supercooled liquid undergoing the glass transition. The…

Statistical Mechanics · Physics 2009-10-31 Hui Yin , Bulbul Chakraborty

This article reviews recent progress of the analytical theory of quantum spin glasses (QSG). Exact results for infinite range and one loop renormalisation group calculations for finite range models of either insulating or metallic type are…

Disordered Systems and Neural Networks · Physics 2009-10-28 R. Oppermann , B. Rosenow

We show the existence of fragile-to-strong transitions in kinetically constrained systems by studying the equilibrium and out-of-equilibrium dynamics of a generic constrained Ising spin chain which interpolates between the symmetric and…

Statistical Mechanics · Physics 2009-11-07 Arnaud Buhot , Juan P. Garrahan

We theoretically investigate glass transition behaviors of the glassy graphene in a wide range of temperature, where this amorphous graphene is described as a hard-sphere fluid. The dynamic arrest of a particle is assumingly caused by…

Soft Condensed Matter · Physics 2020-03-11 Tran Dinh Cuong , Anh D. Phan , Katsunori Wakabayashi , Pham Thanh Huy

By means of parallel tempering Monte Carlo simulations we find strong evidence for a finite-temperature spin-glass transition in a system of diluted classical Heisenberg dipoles randomly placed on the sites of a simple cubic lattice. We…

Disordered Systems and Neural Networks · Physics 2009-12-18 Pawel Stasiak , Michel J. P. Gingras

We introduce an effective field theory for the vicinity of a zero temperature quantum transition between a metallic spin glass (``spin density glass'') and a metallic quantum paramagnet. Following a mean field analysis, we perform a…

Condensed Matter · Physics 2009-10-28 Subir Sachdev , N. Read , R. Oppermann

We have considered the dynamical evolution of cellular patterns controlled by a stochastic Glauber process determined by the deviations of local cell topology from that of a crystalline structure. Above a critical temperature evolution is…

Disordered Systems and Neural Networks · Physics 2009-10-31 Tomaso Aste , David Sherrington

We establish the connection between the presence of a glass phase and the appearance of a Coulomb gap in disordered materials with strongly interacting electrons. Treating multiparticle correlations in a systematic way, we show that in the…

Disordered Systems and Neural Networks · Physics 2009-11-10 M. Mueller , L. B. Ioffe

Several theories of the glass transition propose that the structural relaxation time {\tau}{\alpha} is controlled by a growing static length scale {\xi} that is determined by the free energy landscape but not by the local dynamical rules…

Disordered Systems and Neural Networks · Physics 2017-11-15 Matthieu Wyart , Michael E. Cates

An analytical approach, which develops the gauge model of the glass transition phenomenon, is suggested. It is based on the quantum field theory and critical dynamics methods. The suggested mechanism of glass transition is based on the…

Statistical Mechanics · Physics 2011-05-12 Mikhail Vasin

It is presented a theory that describes a spin glass phase at finite temperatures in Kondo lattice systems with an additional RKKY interaction represented by long range, random couplings among localized spins like in the Sherrington-…

Statistical Mechanics · Physics 2009-10-31 Alba Theumann , B. Coqblin , S. G. Magalhaes , A. A. Schmidt

The correlations of the free-energy landscape of mean-field spin glasses at different temperatures are investigated, concentrating on models with a first order freezing transition. Using a ``potential function'' we follow the metastable…

Disordered Systems and Neural Networks · Physics 2009-10-30 A. Barrat , S. Franz , G. Parisi

We study the glass transition in fluids where particles are endowed with spins, such that magnetic and positional degrees of freedom are coupled. Novel results for slowing down in the spin time-correlation functions are described, and the…

Soft Condensed Matter · Physics 2015-06-22 Ricardo Gutierrez , Bhaskar Sen Gupta , Itamar Procaccia

Ising spin glasses in a transverse field exhibit a zero temperature quantum phase transition, which is driven by quantum rather than thermal fluctuations. They constitute a universality class that is significantly different from the…

Condensed Matter · Physics 2009-10-28 H. Rieger , A. P. Young
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