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Transport studies in a Corbino disk geometry suggest that the Bragg glass phase undergoes a first-order transition into a disordered solid. This transition shows a sharp reentrant behavior at low fields. In contrast, in the conventional…

We study the energetics of superconducting vortices in the SO(5) model for high-$T_c$ materials proposed by Zhang. We show that for a wide range of parameters normally corresponding to type II superconductivity, the free energy per unit…

Superconductivity · Physics 2009-11-07 M. Juneau , R. MacKenzie , M. -A. Vachon , J. M. Cline

We consider the five-vertex model on a rectangular domain of the square lattice, with the so-called `scalar-product' boundary conditions. We address the evaluation of the free-energy density of the model in the scaling limit, that is when…

Mathematical Physics · Physics 2025-12-30 Filippo Colomo , Michelangelo Mannatzu , Andrei G. Pronko

In two-dimensional (2D) systems, the melting from a solid to an isotropic liquid can occur via an intermediate phase that retains orientational order. However, in 2D superconducting vortex lattices, the effect of orientational correlations…

We study effects of quenched bond disorder in frustrated easy-plane antiferromagnets in two space dimensions, using a combination of analytical and numerical techniques. We consider local-moment systems which display non-collinear…

Strongly Correlated Electrons · Physics 2020-09-16 Santanu Dey , Eric C. Andrade , Matthias Vojta

We study a 3D model of driven vortices in weakly coupled layered superconductors with strong pinning. Above the critical force $F_c$, we find a plastic flow regime in which pancakes in different layers are uncoupled, corresponding to a…

Superconductivity · Physics 2007-05-23 A. B. Kolton , D. Dominguez , C. J. Olson , N. Gronbech-Jensen

We study the thermodynamic and structural properties of the superconducting vortex system in high temperature layered superconductors, with magnetic field normal to the layers, in the presence of a small concentration of strong random point…

Superconductivity · Physics 2009-11-13 Chandan Dasgupta , Oriol T. Valls

We study a three-dimensional plaquette spin model whose low temperature dynamics is glassy, due to localised defects and effective kinetic constraints. While the thermodynamics of this system is smooth at all temperatures, we show that…

Statistical Mechanics · Physics 2016-02-10 Robert L. Jack , Juan P. Garrahan

We simulate the ordering of vortices and its effects on the critical current in superconductors with varied vortex-vortex interaction strength and varied pinning strengths for a two-dimensional system. For strong pinning the vortex lattice…

Superconductivity · Physics 2009-10-31 C. J. Olson , C. Reichhardt , S. Bhattacharya

The work contains a detailed study of the scaling limit of a certain critical, integrable inhomogeneous six-vertex model subject to twisted boundary conditions. It is based on a numerical analysis of the Bethe ansatz equations as well as…

Mathematical Physics · Physics 2021-03-17 Vladimir V. Bazhanov , Gleb A. Kotousov , Sergii M. Koval , Sergei L. Lukyanov

We study the statistics of thermodynamic quantities in two related systems with quenched disorder: A (1+1)-dimensional planar lattice of elastic lines in a random potential and the 2-dimensional random bond dimer model. The first system is…

Disordered Systems and Neural Networks · Physics 2009-11-10 Simon Bogner , Thorsten Emig , Ahmed Taha , Chen Zeng

We propose and analyze a generalized two dimensional $XY$ model, whose interaction potential has $n$ weighted wells, describing corresponding symmetries of the system. As the lattice spacing vanishes, we derive by $\Gamma$-convergence the…

Analysis of PDEs · Mathematics 2017-12-06 Rufat Badal , Marco Cicalese , Lucia De Luca , Marcello Ponsiglione

The disordered flux line lattice in single crystals of the slightly overdoped aFe_{2-x}Co_xAs_2 (x = 0.19, Tc = 23 K) superconductor is studied by magnetization measurements, small-angle neutron scattering (SANS), and magnetic force…

We introduce a new disordered system, the Super-Potts model, which is a more frustrated version of the Potts glass. Its elementary degrees of freedom are variables that can take M values and are coupled via pair-wise interactions. Its exact…

Disordered Systems and Neural Networks · Physics 2015-01-15 Maria Chiara Angelini , Giulio Biroli

We study periodic structures, such as vortex lattices, moving in a random potential. As predicted in [T. Giamarchi, P. Le Doussal Phys. Rev. Lett. 76 3408 (1996)] the periodicity in the direction transverse to motion leads to a new class of…

Condensed Matter · Physics 2009-10-30 Pierre Le Doussal , Thierry Giamarchi

We propose a model for charge density waves in ring shaped crystals, which depicts frustration between intra- and inter-chain couplings coming from cylindrical bending. It is then mapped to a three dimensional uniformly frustrated XY model…

Statistical Mechanics · Physics 2009-11-11 Tomoaki Nogawa , Koji Nemoto

We find a breakdown of the critical dynamic scaling in the coarsening dynamics of an antiferromagnetic {\em XY} model on the kagome lattice when the system is quenched from disordered states into the Kosterlitz-Thouless ({\em KT}) phases at…

Statistical Mechanics · Physics 2015-05-13 Sangwoong Park , Bongsoo Kim , Sung Jong Lee

We perform a numerical study of the F-model with domain-wall boundary conditions. Various exact results are known for this particular case of the six-vertex model, including closed expressions for the partition function for any system size…

Statistical Mechanics · Physics 2017-05-17 Rick Keesman , Jules Lamers

Microscopic models of quantum antiferromagnets are investigated on the basis of a mapping onto effective low energy hamiltonians. Lattice effects are carefully taken into account and their role is discussed. We show that the presence of an…

Strongly Correlated Electrons · Physics 2009-11-07 A. S. Gliozzi , A. Parola

We study the two-dimensional Ising model on a network with a novel type of quenched topological (connectivity) disorder. We construct random lattices of constant coordination number and perform large scale Monte Carlo simulations in order…

Statistical Mechanics · Physics 2018-03-07 Manuel Schrauth , Julian A. J. Richter , Jefferson S. E. Portela
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