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Related papers: A Thouless-Like Effect in the Dyson Hierarchical M…

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We provide a comprehensive theory of magnetic phases in two-dimensional triangulene crystals, using both Hubbard model and density functional theory (DFT) calculations. We consider centrosymmetric and non-centrosymmetric triangulene…

Mesoscale and Nanoscale Physics · Physics 2024-11-01 G. Catarina , J. C. G. Henriques , A. Molina-Sánchez , A. T. Costa , J. Fernández-Rossier

We developed a systematic non-perturbative method base on Dyson-Schwinger theory and the $\Phi$-derivable theory for Ising model at broken phase. Based on these methods, we obtain critical temperature and spin spin correlation beyond mean…

Statistical Mechanics · Physics 2021-06-10 Feng Liu , Zhenhao Fan , Zhipeng Sun , Dingping Li , Xuzong Chen

Periodic boundary conditions are applied to a ferromagnetic spin lattice. A symmetrical lattice and its contributions all over space are being used. Results, for the Ising model with ferromagnetic interaction that decays as a $1/r^{D+\nu}$…

Statistical Mechanics · Physics 2009-11-10 Sergio Curilef

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

Motivated by quantum quenches in spin chains, a one-dimensional toy-model of fermionic particles evolving in imaginary-time from a domain-wall initial state is solved. The main interest of this toy-model is that it exhibits the arctic…

Statistical Mechanics · Physics 2016-06-10 Nicolas Allegra , Jérôme Dubail , Jean-Marie Stéphan , Jacopo Viti

The Comment [Y.-M. Li, B. Wei, and K. Chang, Phys. Rev. Lett. 132, 219601 (2024)] pointed out that it is incorrect to predict the temperature-driven topological phase transition of Dirac magnons in honeycomb ferromagnets with…

Other Condensed Matter · Physics 2025-11-21 Lin-Gang Wei , Yun-Mei Li

Quenched thermodynamic states of an amorphous ferromagnet are studied. The magnet is a countable collection of point particles chaotically distributed over $\mathbb{R}^d$, $d\geq 2$. Each particle bears a real-valued spin with symmetric a…

Mathematical Physics · Physics 2015-06-15 Alexei Daletskii , Yuri Kondratiev , Yuri Kozitsky , Tanja Pasurek

Two and three dimensional random Ising models with a Gaussian distribution of couplings with variance $J$ and non-vanishing mean value $J_0$ are studied using the zero-temperature domain-wall renormalization group (DWRG). The DWRG…

Condensed Matter · Physics 2009-10-28 M. V. Simkin

It is widely believed that magnetic excitations become increasingly incoherent as temperature is raised due to random collisions which limit their lifetime. This picture is based on spin-wave calculations for gapless magnets in 2 and 3…

Strongly Correlated Electrons · Physics 2015-06-11 D. L. Quintero-Castro , B. Lake , A. T. M. N. Islam , E. M. Wheeler , C. Balz , M. Mansson , K. C. Rule , S. Gvasaliya , A. Zheludev

The physical analysis of generic phase coexistence in the North-East-Center Toom model was originally given by Bennett and Grinstein. The gist of their argument relies on the dynamics of interfaces and droplets. We revisit the same question…

Statistical Mechanics · Physics 2017-08-01 Claude Godrèche , Jean-Marc Luck

We apply variational tensor-network methods for simulating the Kosterlitz-Thouless phase transition in the classical two-dimensional XY model. In particular, using uniform matrix product states (MPS) with non-abelian O(2) symmetry, we…

Statistical Mechanics · Physics 2020-01-01 Laurens Vanderstraeten , Bram Vanhecke , Andreas M. Laeuchli , Frank Verstraete

We characterize the phase space for the infinite volume limit of a ferromagnetic mean-field XY model in a random field pointing in one direction with two symmetric values. We determine the stationary solutions and detect possible phase…

Probability · Mathematics 2016-06-29 Francesca Collet , Wioletta Ruszel

We formulate the ferromagnetic Ising model on a two-dimensional sphere using the Delaunay triangulation of the Fibonacci covering. The Fibonacci approach generates a uniform isotropic covering of the sphere with approximately equal-area…

Statistical Mechanics · Physics 2023-01-18 A. S. Pochinok , A. V. Molochkov , M. N. Chernodub

The effect of correlation on Peierls transition, which is accompanied by a dimerization, t_d, of a bond alternation for transfer energy, has been examined for a half-filled one-dimensional electron system with on-site repulsive interaction…

Strongly Correlated Electrons · Physics 2009-11-07 Muneo Sugiura , Yoshikazu Suzumura

By using renormalization-group (RG) methods, we study a non-mean-field model of a spin glass built on a hierarchical lattice, the hierarchical Edwards-Anderson model in a magnetic field. We investigate the spin-glass transition in a field…

Disordered Systems and Neural Networks · Physics 2015-03-03 Michele Castellana , Carlo Barbieri

We calculate 800 coefficients of the high-temperature expansion of the magnetic susceptibility of Dyson's hierarchical model with a Landau-Ginzburg measure. Log-periodic corrections to the scaling laws appear as in the case of a Ising…

High Energy Physics - Lattice · Physics 2009-10-28 Y. Meurice , S. Niermann , G. Ordaz

A partially annealed mean-field spin-glass model with a locally embedded pattern is studied. The model consists of two dynamical variables, spins and interactions, that are in contact with thermal baths at temperatures T_S and T_J,…

Disordered Systems and Neural Networks · Physics 2015-05-20 Ayaka Sakata , Koji Hukushima

For the spin models with continuous symmetry on regular lattices and finite range of interactions the lower critical dimension is d=2. In two dimensions the classical XY-model displays Berezinskii-Kosterlitz-Thouless transition associated…

Statistical Mechanics · Physics 2010-08-30 Michelle Przedborski , Bozidar Mitrovic

We study the antiferromagnetic {\it XY} model on a triangular lattice by extensive Monte Carlo simulations, focusing on its ordering and critical properties. Our result clearly shows that two separate transitions occur at two distinct…

Statistical Mechanics · Physics 2012-05-31 Tomoyuki Obuchi , Hikaru Kawamura

We obtain a representation of the free energy of an XY model on a fully connected graph with spins subjected to a random crystal field of strength $D$ and with random orientation $\alpha$. Results are obtained for an arbitrary probability…

Statistical Mechanics · Physics 2022-02-14 Sumedha , M. Barma
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