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A systematic investigation is presented of grain boundaries and grain boundary networks in two dimensional flexible membranes with crystalline order. An isolated grain boundary undergoes a buckling transition at a critical value of the…

Condensed Matter · Physics 2009-10-22 Carlo Carraro , David R. Nelson

We study the transition of short range Ising spin glasses in a magnetic field, within a general replica symmetric field theory, which contains three masses and eight cubic couplings, that is defined in terms of the fields representing the…

Disordered Systems and Neural Networks · Physics 2016-08-31 I. R. Pimentel , T. Temesvari , C. De Dominicis

Guided by old results on simple mode-coupling models displaying glass-glass transitions, we demonstrate, through a crude analysis of the solution with one step of replica symmetry breaking (1RSB) derived by Crisanti and Leuzzi for the…

Disordered Systems and Neural Networks · Physics 2007-10-18 V. Krakoviack

A unidirectional "density" wave order in an otherwise isotropic environment is guaranteed to display a smecticlike Goldstone mode. Examples of such "soft" states include conventional smectic liquid crystals, putative…

Statistical Mechanics · Physics 2023-12-20 Tzu-Chi Hsieh , Leo Radzihovsky

Using quantum Monte Carlo method, we study, under external magnetic fields, the ground state phase diagram of the two-dimensional spin $S$=1/2 dimer model with an anisotropic intra-plane antiferromagnetic coupling. With the anisotropy $4…

Other Condensed Matter · Physics 2009-11-11 Kwai-Kong Ng , T. K. Lee

The low-energy limits of models with disorder are frequently described by sigma models. In two dimensions, most sigma models admit either a Wess-Zumino-Witten or a theta term. When such a term is present the model can have a stable critical…

Superconductivity · Physics 2009-10-31 Paul Fendley , Robert M. Konik

We present results of a Monte Carlo simulation of an Heisenberg Spin Glass model on a hipercubic cell of size 2 in {\it D} dimensions. Each spin interacts with {\it D} nearest neighbors and the lattice is expected to recover the completely…

Condensed Matter · Physics 2007-05-23 Daniel A. Stariolo

The three dimensional XY model with quenched random disorder and finite screening is studied. We argue that the system scales to model with $\lambda\simeq 0\simeq T$ and the resulting effective model is studied numerically by defect energy…

Statistical Mechanics · Physics 2007-05-23 C. Giardina' , N. V. Priezjev , J. M. Kosterlitz

The Parisi solution of the mean-field spin glass has been widely accepted and celebrated. Its marginal stability in 3d and its complexity however raised the question of its relevance to real spin glasses. This paper gives a short overview…

Disordered Systems and Neural Networks · Physics 2009-06-26 Eric Vincent , J. Hammann , Miguel Ocio

We characterize numerically the properties of the phase transition of the three dimensional Ising spin glass with Gaussian couplings and of the low temperature phase. We compute critical exponents on large lattices. We study in detail the…

Statistical Mechanics · Physics 2009-10-31 E. Marinari , G. Parisi , J. J. Ruiz-Lorenzo

We provide strong evidence that the effective spin-spin interaction in a multimodal confocal optical cavity gives rise to a self-induced glassy phase, which emerges exclusively from the peculiar euclidean correlations and is not related to…

Statistical Mechanics · Physics 2021-05-12 Vittorio Erba , Mauro Pastore , Pietro Rotondo

A spin-glass system with a smooth or fractal outer surface is studied by renormalization-group theory, in bulk spatial dimension d=3. Independently varying the surface and bulk random-interaction strengths, phase diagrams are calculated.…

Disordered Systems and Neural Networks · Physics 2025-02-18 Yiğit Ertaç Pektaş , E. Can Artun , A. Nihat Berker

A spin-wave approach of the zero temperature superfluid-insulator transition for two-dimensional hard-core bosons in a random potential $\mu=\pm$ W is developed. While at the classical level there is no intervening phase between the…

Strongly Correlated Electrons · Physics 2013-10-21 Juan Pablo Álvarez Zúñiga , Nicolas Laflorencie

We consider supersymmetric models in 5-dimensional space-time compactified on S**1/Z(2) orbifold where N=2 supersymmetry is explicitly broken down to N=1 by the orbifold projection. We find that the residual N=1 supersymmetry is broken…

High Energy Physics - Theory · Physics 2010-11-19 Masud Chaichian , Archil B. Kobakhidze , Mirian Tsulaia

We study $(1+1)$-dimensional $SU(N)$ spin systems in the presence of the global $SU(N)$ rotation and lattice translation symmetries. By matching the mixed anomaly of the $PSU(N)\times\mathbb{Z}$ symmetry in the continuum limit, we identify…

Strongly Correlated Electrons · Physics 2019-11-06 Yuan Yao , Chang-Tse Hsieh , Masaki Oshikawa

We present a quantum Monte Carlo study of the "quantum glass" phase of the 2D Bose-Hubbard model with random potentials at filling $\rho=1$. In the narrow region between the Mott and superfluid phases the compressibility has the form…

Quantum Gases · Physics 2015-04-14 Yancheng Wang , Wenan Guo , Anders W. Sandvik

Use of dedicated computers in spin glass simulations allows one to equilibrate very large samples (of size as large as $L=32$) and to carry out "computer experiments" that can be compared to (and analyzed in combination with) laboratory…

Disordered Systems and Neural Networks · Physics 2022-10-12 V. Martin-Mayor , J. J. Ruiz-Lorenzo , B. Seoane , A. P. Young

We study the Fermi surface instabilities of the Pomeranchuk type in the spin triplet channel with high orbital partial waves ($F_{l}^a ~(l>0)$). The ordered phases are classified into two classes, dubbed the $\alpha$ and $\beta$-phases by…

Strongly Correlated Electrons · Physics 2007-05-23 Congjun Wu , Kai Sun , Eduardo Fradkin , Shou-Cheng Zhang

This is a short review about recent methods and results, mostly for mean field spin glasses, based on interpolation and comparison schemes. In particular, the Parisi spontaneous replica symmetry breaking phenomenon is described in the frame…

Disordered Systems and Neural Networks · Physics 2007-05-23 Francesco Guerra

We examine a model of $M$-component quantum rotors coupled by Gaussian-distributed random, infinite-range exchange interactions. A complete solution is obtained at $M=\infty$ in the spin-glass and quantum-disordered phases. The quantum…

Condensed Matter · Physics 2009-01-23 Jinwu Ye , Subir Sachdev , N. Read
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