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The behavior of the topological index, characterizing the properties of superconducting phases of quasi-two-dimensional systems with nontrivial topology, is investigated depending on the temperature and parameters of the effective…

Superconductivity · Physics 2023-08-07 A. G. Groshev , A. K. Arzhnikov

We apply the classical mapping technique developed recently by Dharma-wardana and Perrot for a study of the uniform two-dimensional electron system at arbitrary degeneracy and spin-polarization. Pair distribution functions, structure…

Strongly Correlated Electrons · Physics 2009-11-10 Nguyen Quoc Khanh , Hiroo Totsuji

We introduce a universal combination of susceptibility and correlation length in the 3D Ising model, depending both on temperature and external magnetic field. Starting from a parametric representation of the equation of state, we study its…

High Energy Physics - Lattice · Physics 2021-11-29 Michele Caselle , Marianna Sorba

We construct periodic approximations to the free energies of Ising models on fractal lattices of dimension smaller than two, in the case of zero external magnetic field, using a generalization of the combinatorial method of Feynman and…

Statistical Mechanics · Physics 2015-11-16 Alessandro Codello , Vincent Drach , Ari Hietanen

We present the numerical results for low temperature behavior of the transverse-field Ising model on a frustrated checkerboard lattice, with focus on the effect of both quantum and thermal fluctuations. Applying the recently-developed…

Strongly Correlated Electrons · Physics 2012-10-23 H. Ishizuka , Y. Motome , N. Furukawa , S. Suzuki

We consider zero-temperature, stochastic Ising models with nearest-neighbor interactions in two and three dimensions. Using both symmetric and asymmetric initial configurations, we study the evolution of the system with time. We examine the…

Statistical Mechanics · Physics 2009-11-10 Palani Sundaramurthy , D. L. Stein

We consider a classical XY-like Hamiltonian on a body-centered tetragonal lattice, focusing on the role of interlayer frustration. A three-dimensional (3D) ordered phase is realized via thermal fluctuations, breaking the mirror-image…

Strongly Correlated Electrons · Physics 2012-03-12 Yoshitomo Kamiya , Naoki Kawashima , Cristian D. Batista

By considering the quench dynamics of two-dimensional frustrated Ising models through numerical simulations, we investigate the dynamical critical behavior on the multicritical Nishimori point (NP). We calculate several dynamical critical…

Statistical Mechanics · Physics 2024-09-13 Ramgopal Agrawal , Leticia F. Cugliandolo , Lara Faoro , Lev B. Ioffe , Marco Picco

We study the ordering of the spin and the chirality in the fully frustrated XY model on a square lattice by extensive Monte Carlo simulations. Our results indicate unambiguously that the spin and the chirality exhibit separate phase…

Statistical Mechanics · Physics 2015-05-19 Soichirou Okumura , Hajime Yoshino , Hikaru Kawamura

For a class of tight-binding many-electron models on hyper-cubic lattices the equal-time correlation functions at non-zero temperature are proved to decay exponentially in the distance between the center of positions of the electrons and…

Mathematical Physics · Physics 2015-05-18 Yohei Kashima

We study the onset of eigenstate thermalization in the two-dimensional transverse field Ising model (2D-TFIM) in the square lattice. We consider two non-equivalent Hamiltonians: the ferromagnetic 2D-TFIM and the antiferromagnetic 2D-TFIM in…

Statistical Mechanics · Physics 2016-03-14 Rubem Mondaini , Keith R. Fratus , Mark Srednicki , Marcos Rigol

We study finite temperature dynamical correlation functions of the magnetization operator in the one-dimensional Ising quantum field theory. Our approach is based on a finite temperature form factor series and on a Fredholm determinant…

Statistical Mechanics · Physics 2024-12-11 István Csépányi , Márton Kormos

The contribution to the low frequency internal friction and the thermal conductivity due to optically vibrating edge dislocation dipoles is calculated within the modified Granato-Lucke string model. The results are compared with the recent…

Disordered Systems and Neural Networks · Physics 2009-11-10 D. V. Churochkin , S. Sahling , V. A. Osipov

Finite-temperature magnetism gives rise to many phenomena in alloy materials, such as magnetic phase transformations, short or medium range order in magnetic alloys, spin waves, critical phenomena, and the magnetocaloric effect. Lattice…

Materials Science · Physics 2025-06-24 Brian Blankenau , Tianyu Su , Namhoon Kim , Elif Ertekin

We study aging dynamics in two non-disordered spin models with multi-spin interactions, following a sudden quench to low temperature. The models are relevant to the physics of supercooled liquids. Their low temperature dynamics resemble…

Statistical Mechanics · Physics 2009-11-11 Robert L. Jack , Ludovic Berthier , Juan P. Garrahan

We study second order finite temperature phase transitions of the 2D quantum Ising and interacting honeycomb fermions models using infinite projected entangled pair states (iPEPS). We obtain an iPEPS thermal state representation by…

Strongly Correlated Electrons · Physics 2019-06-12 Piotr Czarnik , Philippe Corboz

We formulate correlation functions for a one-dimensional interacting spinless fermion model at finite temperature. By combination of a lattice path integral formulation for thermodynamics with the algebraic Bethe ansatz for fermion systems,…

Statistical Mechanics · Physics 2008-02-21 Kohei Motegi , Kazumitsu Sakai

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

The two-dimensional Ising model with nearest-neighbor ferromagnetic and long-range dipolar interactions exhibits a rich phase diagram. The presence of the dipolar interaction changes the ferromagnetic ground state expected for the pure…

Statistical Mechanics · Physics 2010-02-18 Leandro G. Rizzi , Nelson A. Alves

We study numerically the paramagnetic phase of the spin-1/2 random transverse-field Ising chain, using a mapping to non-interacting fermions. We extend our earlier work, Phys. Rev. 53, 8486 (1996), to finite temperatures and to dynamical…

Disordered Systems and Neural Networks · Physics 2009-10-30 A. P. Young