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We consider long strips of finite width $L \leq 13$ sites of ferromagnetic Ising spins with random couplings distributed according to the binary distribution: $P(J_{ij})= {1 \over 2} ( \delta (J_{ij} -J_0) + \delta (J_{ij} -rJ_0) ) ,\ 0 < r…

Condensed Matter · Physics 2009-10-28 S. L. A. de Queiroz , R. B. Stinchcombe

We investigate and contrast, via entropic sampling based on the Wang-Landau algorithm, the effects of quenched bond randomness on the critical behavior of two Ising spin models in 2D. The random bond version of the superantiferromagnetic…

Statistical Mechanics · Physics 2008-11-11 N G Fytas , A Malakis , I A Hadjiagapiou

Using extensive Monte Carlo simulations we study aging properties of two disordered systems quenched below their critical point, namely the two-dimensional random-bond Ising model and the three-dimensional Edwards-Anderson Ising spin glass…

Statistical Mechanics · Physics 2015-06-05 Hyunhang Park , Michel Pleimling

We present results of a numerical simulation of the $q$-state random bond Potts model in two dimensions and for large $q$. In particular, care is taken to study the crossover from the pure model to the random model, as well as the crossover…

Statistical Mechanics · Physics 2007-05-23 Marco Picco

The features of the response of frustrated states to the external field are considered on the example of a diluted Ising chain. In the ferromagnetic case, partial ordering occurs, which leads to a decrease in entropy. In the…

Statistical Mechanics · Physics 2024-11-12 Yury Panov

We study phase-transitions of the ferromagnetic $q$-state Potts chain with random nearest-neighbour couplings having a variance $\Delta^2$ and with homogeneous long-range interactions, which decay with the distance as a power…

Statistical Mechanics · Physics 2016-12-28 Jean-Christian Anglès d'Auriac , Ferenc Iglói

Two and three point functions of composite operators are analysed with regard to (logarithmically) divergent contact terms. Using the renormalisation group of dimensional regularisation it is established that the divergences are governed by…

High Energy Physics - Theory · Physics 2017-04-24 Vladimir Prochazka , Roman Zwicky

A method for calculating the short-range order part of the free energy of order-disorder systems is proposed. The method is based on the apllication of the cumulant expansion to the exact configurational entropy. Second-order correlation…

Statistical Mechanics · Physics 2009-10-31 Igor Tsatskis

We calculate correlation functions of the R-current or the stress-energy tensor T_{\mu\nu} with two non-protected operators dual to generic massive string states with rotation in S^5, in the context of the AdS/CFT correspondence. Field…

High Energy Physics - Theory · Physics 2015-06-12 George Georgiou , Bum-Hoon Lee , Chanyong Park

The capability of density-functional theory to deal with the ground-state of strongly correlated low-dimensional systems, such as semiconductor quantum dots, depends on the accuracy of functionals developed for the exchange and correlation…

Strongly Correlated Electrons · Physics 2009-02-25 S. Pittalis , E. Rasanen , C. Proetto , E. K. U. Gross

We study the dynamics of microscopic quantum correlations, viz., bipartite entanglement and quantum discord between nearest neighbor sites, in Ising spin chain with a periodically varying external magnetic field along the transverse…

Quantum Physics · Physics 2019-07-25 Utkarsh Mishra , R. Prabhu , Debraj Rakshit

The random field q-States Potts model is investigated using exact groundstates and finite-temperature transfer matrix calculations. It is found that the domain structure and the Zeeman energy of the domains resembles for general q the…

Disordered Systems and Neural Networks · Physics 2009-11-07 Raja Paul , Mikko Alava , Heiko Rieger

We consider random q-state Potts models for $3\le q \le 8$ on the square lattice where the ferromagnetic couplings take two values $J_1>J_2$ with equal probabilities. For any q the model exhibits a continuous phase transition both in the…

Statistical Mechanics · Physics 2015-06-25 Gábor Palágyi , Christophe Chatelain , Bertrand Berche , Ferenc Iglói

Using a real-time renormalization group method we study the minimal model of a quantum dot dominated by charge fluctuations, the two-lead interacting resonant level model, at finite bias voltage. We develop a set of RG equations to treat…

Strongly Correlated Electrons · Physics 2012-11-26 S. Andergassen , M. Pletyukhov , D. Schuricht , H. Schoeller , L. Borda

We investigate the first-order phase transitions of the $q$-state Potts models with $q = 5, 6, 7$, and $8$ on the two-dimensional square lattice, using Monte Carlo simulations. At the very weakly first-order transition of the $q=5$ system,…

Statistical Mechanics · Physics 2019-03-05 Shumpei Iino , Satoshi Morita , Anders W. Sandvik , Naoki Kawashima

We consider certain two-dimensional systems with self--dual points including uniform and disordered $q$-state Potts models. For systems with continuous energy density (such as the disordered versions) it is established that the self--dual…

Statistical Mechanics · Physics 2007-05-23 Lincoln Chayes , Kirill Shtengel

We calculate the dynamical spin-spin correlation functions of a Kondo dot coupled to two noninteracting leads held at different chemical potentials. To this end we generalize a recently developed real-time renormalization group method in…

Strongly Correlated Electrons · Physics 2013-01-11 Dirk Schuricht , Herbert Schoeller

We analyse the effect of quenched uncorrelated randomness coupling to the local energy density of a model consisting of N coupled two-dimensional Ising models. For N>2 the pure model exhibits a fluctuation-driven first order transition,…

Condensed Matter · Physics 2016-08-31 John Cardy

We investigate the renormalization group flows and fixed point structure of many coupled minimal models. The models are coupled two by two by energy-energy couplings. We take the general approach where the bare couplings are all taken to be…

Statistical Mechanics · Physics 2011-07-19 M. -A. Lewis , P. Simon

Solvable matrix product and projected entangled pair states evolved by dual and ternary-unitary quantum circuits have analytically accessible correlation functions. Here, we investigate the influence of disorder. Specifically, we compute…

Quantum Physics · Physics 2023-09-12 Daniel Haag , Richard M. Milbradt , Christian B. Mendl
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