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Spin-glass phases and phase transitions for q-state clock models and their q $\rightarrow \infty$ limit the XY model, in spatial dimension d=3, are studied by a detailed renormalization-group study that is exact for the d=3 hierarchical…

Statistical Mechanics · Physics 2013-04-30 Efe Ilker , A. Nihat Berker

Superconductors with low superfluid density can be described by XY models. In such models the scale of the transition temperature T_c is largely set by the zero temperature phase stiffness (helicity modulus), a long-wavelength property of…

Superconductivity · Physics 2007-05-23 Y. L. Loh , E. W. Carlson

Motivated by a recent argument that the superconducting (SC) transition field of three-dimensional (3D) disordered superconductors with granular structure in a nonzero magnetic field should lie above $H_{c2}(0)$ in low $T$ limit, the glass…

Superconductivity · Physics 2009-11-11 Ryusuke Ikeda

As a nontrivial solid state of matter, the glassy-crystal state embraces physical features of both crystalline and amorphous solids, where a long-range ordered periodic structure formed by the mass centers of constituent molecules…

We report results from Monte Carlo simulations of the two- and three-dimensional gauge glass at low temperature using parallel tempering Monte Carlo. In two dimensions, we find strong evidence for a zero-temperature transition. By means of…

Disordered Systems and Neural Networks · Physics 2007-05-23 Helmut G. Katzgraber

Analytic expression for the memory function and the optical conductivity of the two-dimensional Bose gas with logarithmic interaction at T = 0 in presence of point-like impurities is obtained within the mode-coupling approximation.…

Strongly Correlated Electrons · Physics 2009-11-11 E. V. Zenkov

The electric conductivities in glass phases of three-dimensional (3D) granular superconductors in magnetic fields are examined based on a quantum disordered Josephson-junction array. A correct inclusion of the Ohmic dissipative dynamics…

Superconductivity · Physics 2009-11-11 Ryusuke Ikeda

The superfluid transition of a three-dimensional gas of hard-sphere bosons in a disordered medium is studied using quantum Monte Carlo methods. Simulations are performed in continuous space both in the canonical and in the grand-canonical…

Other Condensed Matter · Physics 2015-05-13 S. Pilati , S. Giorgini , N. Prokof'ev

This brief review introduces the method and application of real-space renormalization group to strongly disordered quantum systems. The focus is on recent applications of the strong disorder renormalization group to the physics of…

Disordered Systems and Neural Networks · Physics 2014-02-26 Gil Refael , Ehud Altman

We consider a system composed of a stack of weakly Josephson coupled superfluid layers with c-axis disorder in the form of random superfluid stiffnesses and vortex fugacities in each layer as well as random inter-layer coupling strengths.…

Quantum Gases · Physics 2011-10-17 David Pekker , Gil Refael , Eugene Demler

Of the many different kinds of glassy states found in nature, spin glasses and structural glasses (e.g. normal window glass) have probably received the most attention. One of the central questions concerning the glassy state is whether the…

Superconductivity · Physics 2015-06-25 Rolf Lortz , Christoph Meingast , Alexandre I. Rykov , Setsuko Tajima

The equilibrium behavior of vortices in the classical two-dimensional (2D) XY model with uncorrelated random phase shifts is investigated. The model describes Josephson-Junction arrays with positional disorder, and has ramifications in a…

Condensed Matter · Physics 2009-10-28 Lei-Han Tang

We present a numerical study of the random Blume-Capel model in three dimension. The phase diagram is characterized by spin-glass/paramagnet phase transitions both of first and second order in the thermodynamic sense. Numerical simulations…

Disordered Systems and Neural Networks · Physics 2011-04-12 Matteo Paoluzzi , Luca Leuzzi , Andrea Crisanti

We study the equilibrium properties of the one-dimensional disordered Bose-Hubbard model by means of a gauge-adaptive tree tensor network variational method suitable for systems with periodic boundary conditions. We compute the superfluid…

Disordered Systems and Neural Networks · Physics 2016-01-27 Matthias Gerster , Matteo Rizzi , Ferdinand Tschirsich , Pietro Silvi , Rosario Fazio , Simone Montangero

The XY model with quenched random phase shifts is studied by a T=0 finite size defect energy scaling method in 2d and 3d. The defect energy is defined by a change in the boundary conditions from those compatible with the true ground state…

Statistical Mechanics · Physics 2009-10-31 J. M. Kosterlitz , N. Akino

We present a numerical investigation of the density fluctuations in a model glass under cyclic shear deformation. At low amplitude of shear, below yielding, the system reaches a steady absorbing state in which density fluctuations are…

Disordered Systems and Neural Networks · Physics 2021-03-22 Saheli Mitra , Giuseppe Foffi , Anshul D. S. Parmar , Premkumar Leishangthem , Srikanth Sastry

We study the zero-temperature phase transition of a two-dimensional disordered boson Hubbard model. The phase diagram of this model is constructed in terms of the disorder strength and the chemical potential. Via quantum Monte Carlo…

Disordered Systems and Neural Networks · Physics 2009-11-07 Ji-Woo Lee , Min-Chul Cha , Doochul Kim

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

We study the superfluid transitions in bidimensional (2D) and tridimensional (3D) disordered and interacting Bose gases. We work in the limit of long-range correlated disorder such that it can be treated in the local density approximation.…

Quantum Gases · Physics 2013-02-22 Thomas Bourdel

Interacting bosons generically form a superfluid state. In the presence of disorder it can get converted into a compressible Bose glass state. Here we study such transition in one dimension at moderate interaction using bosonization and…

Disordered Systems and Neural Networks · Physics 2012-07-17 Zoran Ristivojevic , Aleksandra Petkovic , Pierre Le Doussal , Thierry Giamarchi
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