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The topological gap $\Delta = TP_{H_1}^{real} - TP_{H_1}^{shuf}$ -- the excess $H_1$ total persistence of the majority-spin alpha complex over a density-matched null -- encodes critical correlations in spin models. We establish finite-size…

Statistical Mechanics · Physics 2026-04-03 Matthew Loftus

We study the thermodynamics of disordered elastic systems, applied to vortex lattices in the Bragg glass phase. Using the replica variational method we compute the specific heat of pinned vortons in the classical limit. We find that the…

Condensed Matter · Physics 2009-11-10 Gregory Schehr , Thierry Giamarchi , Pierre Le Doussal

Using variational perturbation theory, we calculate the shift in the critical temperature T_c up to five loops to lowest order in the scattering length a and find Delta T_c/T_c^{(0)} approx (1.14\pm0.11)an^{1/3}, where n is the particle…

Condensed Matter · Physics 2009-11-07 H. Kleinert

Via extensive Monte Carlo studies we show that the frustrated XY Hamiltonian on a 2-D Penrose lattice admits of a spin glass phase at low temperature. Studies of the Edwards-Anderson order parameter, spin glass susceptibility, and local…

Condensed Matter · Physics 2009-10-28 R. W. Reid , S. K. Bose , B. Mitrovic

Recently, the successful synthesis of the pentagonal form of PdTe$_{2}$ monolayer (\emph{p}-PdTe$_{2}$) was reported [Liu~\emph{et al.}, Nature Materials \textbf{23}, 1339 (2024)]. In this work, we present an extensive first-principles…

Materials Science · Physics 2025-01-07 Poonam Sharma , Vaishali Roondhe , Alok Shukla

We propose a numerical criterion which can be used to obtain accurate and reliable values of the ordering temperatures and critical exponents of spin glasses. Using this method we find an value of the ordering temperature for the $\pm J$…

Condensed Matter · Physics 2009-10-28 L. W. Bernardi , S. Prakash , I. A. Campbell

The one-dimensional long-range Ising spin glass provides useful insights into the properties of finite dimensional spin glasses with short-range interactions. The defect energy renormalization group equations derived for it by Kotliar,…

Disordered Systems and Neural Networks · Physics 2013-05-29 M. A. Moore

Replica field theory is used to study the n-dependent free energy of the Ising spin glass in a first order perturbative treatment. Large sample-to-sample deviations of the free energy from its quenched average prove to be Gaussian,…

Disordered Systems and Neural Networks · Physics 2010-01-23 Tamas Temesvari

We study spin glass behavior in a random Ising Coulomb antiferromagnet in two and three dimensions using Monte Carlo simulations. In two dimensions, we find a transition at zero temperature with critical exponents consistent with those of…

Disordered Systems and Neural Networks · Physics 2016-09-30 J. Rehn , R. Moessner , A. P. Young

We consider a finite range spin glass model in arbitrary dimension, where the strength of the two-body coupling decays to zero over some distance $\gamma^{-1}$. We show that, under mild assumptions on the interaction potential, the…

Statistical Mechanics · Physics 2009-11-10 Silvio Franz , Fabio Lucio Toninelli

We study a two-dimensional compressible Ising spin glass at constant volume. The spin interactions are coupled to the distance between neighboring particles in the Edwards-Anderson model with +/- J interactions. We find that the energy of a…

Disordered Systems and Neural Networks · Physics 2009-11-11 Adam H. Marshall , Bulbul Chakraborty , Sidney R. Nagel

We propose that the spin glass phase of cuprates is due to the proliferation of topological defects of a spiral distortion of the antiferromagnet order. Our theory explains straightforwardly the simultaneous existence of short range…

Disordered Systems and Neural Networks · Physics 2009-10-31 N. Hasselmann , A. H. Castro Neto , C. Morais Smith

The high-frequency shear modulus of five Zr-, Pd-, Cu-based conventional and two high-entropy bulk metallic glasses was measured in a wide temperature range up to the beginning of crystallization. Using these data and general thermodynamic…

Disordered Systems and Neural Networks · Physics 2023-06-02 R. A. Konchakov , A. S. Makarov , G. V. Afonin , J. C. Qiao , M. G. Vasin , N. P. Kobelev , V. A. Khonik

We revisit the subtelties of computing the high temperature spin stiffness $D$ of the spin-$1/2$ XXZ chain using exact diagonalization to analyze its dependence on system symmetries and ensemble. Within the canonical ensemble and for states…

Strongly Correlated Electrons · Physics 2017-12-13 Ramsés J. Sánchez , Vipin Kerala Varma

We calculate the electrical conductivity in the early universe at temperatures below as well as above the electroweak vacuum scale, $T_c\simeq 100$GeV. Debye and dynamical screening of electric and magnetic interactions leads to a finite…

Astrophysics · Physics 2009-10-30 Gordon Baym , H. Heiselberg

We describe results of Monte Carlo simulations on a model that seems to have the necessary ingredients to describe a disordered type-II superconductor in a magnetic field. We compute the free energy cost to twist the direction of the phase…

Condensed Matter · Physics 2007-05-23 J. D. Reger , A. P. Young

A comprehensive description in all dimensions is provided for the scaling exponent $y$ of low-energy excitations in the Ising spin glass introduced by Edwards and Anderson. A combination of extensive numerical as well as theoretical results…

Statistical Mechanics · Physics 2016-08-31 Stefan Boettcher

The scaling of the non-phononic spectrum for 2D systems has been recently debated. Here we provide evidence that the non-phononic spectrum $D_{ex}(\omega) \sim \omega^\beta$ where $\beta \approx 3.5$ and there is no clear evidence of a…

Disordered Systems and Neural Networks · Physics 2022-09-09 Lijin Wang , Grzegorz Szamel , Elijah Flenner

We study the meson potential energy in a non-conformal model at both zero and finite temperature via gauge/gravity duality. This model consists of five-dimensional Einstein gravity coupled to a scalar field with a non-trivial potential.…

High Energy Physics - Theory · Physics 2022-05-11 M. Asadi , Ali Hajilou

Allowed regions on the m_l - cos{2\theta_{12}} plane are extracted from results of neutrinoless double beta decay experiments. It is shown that 0.05 eV (0 eV) < m_l < 1.85 eV is obtained for the normal (inverted) hierarchy by using the LMA…

High Energy Physics - Phenomenology · Physics 2009-11-07 Hiroaki Sugiyama