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In this paper I report results for simulations of the three-dimensional gauge glass and the four-dimensional XY spin glass using the parallel tempering Monte Carlo method at low temperatures for moderate sizes. The results are qualitatively…

Disordered Systems and Neural Networks · Physics 2009-11-07 Helmut G. Katzgraber

We study the superconducting Kosterlitz-Thouless transition of the attractive Hubbard model on a two-dimensional triangular lattice using auxiliary field quantum Monte Carlo method for system sizes up to $12\times 12$ sites. Combining three…

Strongly Correlated Electrons · Physics 2009-11-11 Tsuguhito Nakano , Kazuhiko Kuroki

The Anderson transition in three dimensions in a randomly varying magnetic flux is investigated in detail by means of the transfer matrix method with high accuracy. Both, systems with and without an additional random scalar potential are…

Disordered Systems and Neural Networks · Physics 2009-10-31 T. Kawarabayashi , B. Kramer , T. Ohtsuki

By using renormalization-group (RG) methods, we study a non-mean-field model of a spin glass built on a hierarchical lattice, the hierarchical Edwards-Anderson model in a magnetic field. We investigate the spin-glass transition in a field…

Disordered Systems and Neural Networks · Physics 2015-03-03 Michele Castellana , Carlo Barbieri

We present an investigation of the 2D attractive Hubbard model, considered as an effective model relevant to superconductivity in strongly interacting electron systems. We use both hybrid Monte Carlo simulations and existing hopping…

Strongly Correlated Electrons · Physics 2008-02-03 R. Lacaze , A. Morel , B. Petersson , J. Schroper

The recently introduced ``mobile-bond'' model for two-dimensional spin glasses is studied. The model is characterized by an annealing temperature T_q. On the basis of Monte Carlo simulations of small systems it has been claimed that this…

Disordered Systems and Neural Networks · Physics 2009-11-10 Alexander K. Hartmann

The statics-dynamics correspondence in spin glasses relate non-equilibrium results on large samples (the experimental realm) with equilibrium quantities computed on small systems (the typical arena for theoretical computations). Here we…

Disordered Systems and Neural Networks · Physics 2015-05-27 Luis Antonio Fernandez , Victor Martin-Mayor

Existing theories explain spin glass transition in terms of a phase transition and order parameters, and assume the existence of a distinct spin glass phase. In addition to problems related to clarifying the nature of this phase, the common…

Disordered Systems and Neural Networks · Physics 2015-05-20 Kostya Trachenko

The unifying feature of glass formers (such as polymers, supercooled liquids, colloids, granulars, spin glasses, superconductors, ...) is a sluggish dynamics at low temperatures. Indeed, their dynamics is so slow that thermal equilibrium is…

We present a numerical study based on Monte Carlo algorithm of the magnetic properties of a mixed Ising ferrimagnetic model on a cubic lattice where spins $\sigma =\pm 1/2$ and spins $S=0,\pm 1$ are in alternating sites on the lattice. We…

Statistical Mechanics · Physics 2015-05-13 G. M. Buendia , N. Hurtado

We extend the continuous-time interaction-expansion quantum Monte Carlo method with respect to measuring observables for fermion-boson lattice models. Using generating functionals, we express expectation values involving boson operators,…

Strongly Correlated Electrons · Physics 2017-01-04 Manuel Weber , Fakher F. Assaad , Martin Hohenadler

The zero temperature phase diagram of spin glasses on finite connectivity graphs is investigated, with or without magnetic field and/or ferromagnetic bias, for mean field (using the cavity method) and Edwards-Anderson (using numerical…

Disordered Systems and Neural Networks · Physics 2009-11-10 Florent Krzakala

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

The understanding of thermodynamic glass transition has been hindered by the lack of proper models beyond mean-field theories. Here, we propose a three-dimensional lattice glass model on a simple cubic lattice that exhibits the typical…

Statistical Mechanics · Physics 2020-08-07 Yoshihiko Nishikawa , Koji Hukushima

A mean-field model of Ising spin glass with the Hamiltonian being a sum of the infinite-range ferromagnetic and random antiferromagnetic interactions is studied. It is shown that this model has phase transition in external magnetic field…

Disordered Systems and Neural Networks · Physics 2007-05-23 P. N. Timonin

The study of the mean-field static solution of the Random Blume-Emery-Griffiths-Capel model, an Ising-spin lattice gas with quenched random magnetic interaction, is performed. The model exhibits a paramagnetic phase, described by a stable…

Statistical Mechanics · Physics 2009-11-10 Andrea Crisanti , Luca Leuzzi

Binary magnetic square lattice Ising system with nearest neighbour interactions were simulated using the Monte Carlo technique. Two types of ions were randomly distributed on the lattice sites, one type interacting ferromagnetic and the…

Statistical Mechanics · Physics 2013-01-23 Ike Q. Sikakana

The fidelity susceptibility is a general purpose probe of phase transitions. With its origin in quantum information and in the differential geometry perspective of quantum states, the fidelity susceptibility can indicate the presence of a…

Statistical Mechanics · Physics 2015-07-16 Lei Wang , Ye-Hua Liu , Jakub Imriška , Ping Nang Ma , Matthias Troyer

Numerical studies in random systems are plagued with strong finite-size effects and boundary effects. We introduce a window-measurement method as a practical solution to these difficulties. We observe physical quantities only within a…

Disordered Systems and Neural Networks · Physics 2015-06-19 Tota Nakamura , Takayuki Shirakura

We point out a possibility of the weak universality of spin-glass phase transitions in three dimensions. The Ising, the XY, and the Heisenberg models with $\pm J$ bond distributions undergo finite-temperature phase transitions with a ratio…

Disordered Systems and Neural Networks · Physics 2007-05-23 Tota Nakamura , Shin-ichi Endoh , Takeo Yamamoto