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Related papers: Finite temperature corrections in 2d integrable mo…

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The scaling function of the 2D Ising model in a magnetic field on the square and triangular lattices is obtained numerically via Baxter's variational corner transfer matrix approach. The use of the Aharony-Fisher non-linear scaling…

Statistical Mechanics · Physics 2014-11-20 Vladimir V. Mangazeev , Michael Yu. Dudalev , Vladimir V. Bazhanov , Murray T. Batchelor

We perform a study of the universality of the finite size scaling functions of interface free energies in the 3d Ising model. Close to the hot/cold phase transition, we observe very good agreement with the same scaling functions of the 4d…

High Energy Physics - Lattice · Physics 2015-06-25 M. Pepe , Ph. de Forcrand

The advent of quantum computing has heralded a renewed interest in physical memories - physically realizable structures that offer reliable data storage with error correction only at the point of access. Here, we examine a model of a…

Quantum Physics · Physics 2012-01-09 Francesca Valery Day , Sean Barrett

We discribe a simple way to derive spin correlation functions in 2D Ising model at critical temperature but with nonzero magnetic field at the boundary. Local magnetization (i.e. one-point function) is computed explicitly for half-plane and…

High Energy Physics - Theory · Physics 2015-06-26 R. Chatterjee , A. Zamolodchikov

The statement that any phase transition is related to the appearance or disappearance of long-range spatial correlations precludes a finite transition temperature in one-dimensional (1D) systems. In this paper we demonstrate that the 1D…

Statistical Mechanics · Physics 2020-06-02 L. S. Ferreira , L. N. Jorge , Cláudio J. DaSilva , Minos A. Neto , A. A. Caparica

The recent observations of ferromagnetic order in several two-dimensional (2D) materials have generated an enormous interest in the physical mechanisms underlying 2D magnetism. In the present prospective article we show that Density…

Materials Science · Physics 2020-02-18 Thomas Olsen

The two-dimensional Ising model is the simplest model of statistical mechanics exhibiting a second order phase transition. While in absence of magnetic field it is known to be solvable on the lattice since Onsager's work of the forties,…

High Energy Physics - Theory · Physics 2009-11-10 Gesualdo Delfino

We consider the three-dimensional site-diluted Ising model with power-law correlated defects and study the critical behavior of the second-moment correlation length and the magnetic susceptibility in the high-temperature phase. By…

Statistical Mechanics · Physics 2023-03-06 S. Kazmin , W. Janke

We study the continuum scaling limit of the critical Ising magnetization in two dimensions. We prove the existence of subsequential limits, discuss connections with the scaling limit of critical FK clusters, and describe work in progress of…

Probability · Mathematics 2012-05-15 Federico Camia

We study the form factors of local operators of integrable QFT's between states with finite energy density. These states arise, for example, at finite temperature, or from a generalized Gibbs ensemble. We generalize Smirnov's form factor…

High Energy Physics - Theory · Physics 2019-01-23 Axel Cortés Cubero , Miłosz Panfil

We calculate the resistivity of 2D electron (hole) gas, taking into account the degeneracy and the thermal correction due to the combined Peltier and Seebeck effects. The resistivity is found to be universal function of temperature,…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 M. V. Cheremisin

We study the distribution of partition function zeroes for the $XY$--model in two dimensions. In particular we find the scaling behaviour of the end of the distribution of zeroes in the complex external magnetic field plane in the…

High Energy Physics - Lattice · Physics 2009-10-22 R. Kenna , A. C. Irving

In this paper we evaluate finite temperature corrections to the dark matter relic density within the context of minimal supersymmetry with a neutralino LSP. We identify several regions of parameter space where the WIMP annihilation cross…

High Energy Physics - Phenomenology · Physics 2009-11-11 Tommer Wizansky

We make a short overview of the recent analytic and numerical studies of the classical two-dimensional XY and Heisenberg models at low temperatures. Special attention is being paid to an influence of finite system size L on the…

Statistical Mechanics · Physics 2010-07-06 O. Kapikranian , B. Berche , Yu. Holovatch

Finite-size (FS) effects are a major source of error in many-body (MB) electronic structure calculations of extended systems. A method is presented to correct for such errors. We show that MB FS effects can be effectively included in a…

Materials Science · Physics 2008-03-28 Hendra Kwee , Shiwei Zhang , Henry Krakauer

The effect of edge on wetting and layering transitions of a three-dimensional spin-1/2 Ising model is investigated, in the presence of longitudinal and surface magnetic fields, using mean field (MF) theory and Monte Carlo (MC) simulations.…

Soft Condensed Matter · Physics 2009-11-07 L. Bahmad , A. Benyoussef , H. Ez-Zahraouy

We compute the exact partition function of the 2D Ising Model at critical temperature but with nonzero magnetic field at the boundary. The model describes a renormalization group flow between the free and fixed conformal boundary conditions…

High Energy Physics - Theory · Physics 2009-10-28 R. Chatterjee

Magnetocaloric materials, which exploit reversible temperature changes induced by magnetic field variations, are promising for advancing energy-efficient cooling technologies. The potential integration of two-dimensional materials into…

Materials Science · Physics 2024-05-09 Lokanath Patra , Yujie Quan , Bolin Liao

As first asserted by Y. Imry and S-K Ma, the famed discontinuity of the magnetization as function of the magnetic field in the two dimensional Ising model is eliminated, for all temperatures, through the addition of quenched random magnetic…

Mathematical Physics · Physics 2022-01-25 Michael Aizenman , Ron Peled

We use the linear $\delta$ expansion, or optimized perturbation theory, to evaluate the effective potential for the two dimensional Gross-Neveu model at finite temperature and density obtaining analytical equations for the critical…

High Energy Physics - Phenomenology · Physics 2011-08-04 Jean-Loic Kneur , Marcus Benghi Pinto , Rudnei O. Ramos