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The finite-temperature phase diagram of the Hubbard model in $d=3$ is obtained from renormalization-group analysis. It exhibits, around half filling, an antiferromagnetic phase and, between 30%--40% electron or hole doping from half…

Strongly Correlated Electrons · Physics 2007-05-23 G. Migliorini , A. N. Berker

The dynamics of the 2D Potts ferromagnet when quenched below the transition temperature is investigated in the case of discontinuous phase transition, which is interesting for understandingthe non equilibrium dynamics of systems with many…

Statistical Mechanics · Physics 2013-01-30 Alberto Petri , Miguel Ibanez de Berganza , Vittorio Loreto

In the framework of a 2D Fermi-gas with short-range repulsive interaction we find the critical temperature of the superfluid phase transition based on Kohn-Luttinger effect, and analyze its dependence on magnetic field. We calculate…

Superconductivity · Physics 2009-10-31 D. V. Efremov , M. S. Mar'enko , M. A. Baranov , M. Yu. Kagan

The study of the mean-field static solution of the Random Blume-Emery-Griffiths-Capel model, an Ising-spin lattice gas with quenched random magnetic interaction, is performed. The model exhibits a paramagnetic phase, described by a stable…

Statistical Mechanics · Physics 2009-11-10 Andrea Crisanti , Luca Leuzzi

We revisit the one-dimensional ferromagnetic Ising spin-chain with a finite number of spins and periodic boundaries and derive analytically and verify numerically its various stationary and dynamical properties at different temperatures. In…

Statistical Mechanics · Physics 2025-04-24 Varazdat Stepanyan , Andreas F. Tzortzakakis , David Petrosyan , Armen E. Allahverdyan

The fixed point structure of the 2D 3-state random-bond Potts model with a bimodal ($\pm$J) distribution of couplings is for the first time fully determined using numerical renormalization group techniques. Apart from the pure and T=0…

Disordered Systems and Neural Networks · Physics 2009-10-31 Erik Sorensen , Michel Gingras , David Huse

We demonstrate the relation of the infrared anomaly of conformal field theory with entropy considerations of finite temperature thermodynamics for the 3-state Potts chain. We compute the free energy and compute the low temperature specific…

High Energy Physics - Theory · Physics 2009-10-22 Rinat Kedem

We study thermodynamic properties of the one-dimensional Heisenberg ferrimagnet with antiferromagnetically exchange-coupled two kinds of spins 1 and 1/2. The specific heat and the magnetic susceptibility are calculated employing a modified…

Statistical Mechanics · Physics 2009-10-30 Shoji Yamamoto , Takahiro Fukui

Diluted mean-field models are graphical models in which the geometry of interactions is determined by a sparse random graph or hypergraph. Based on a nonrigorous but analytic approach called the "cavity method", physicists have predicted…

Combinatorics · Mathematics 2016-06-23 Victor Bapst , Amin Coja-Oghlan , Felicia Raßmann

We study the thermodynamics of the electroweak theory at a finite lepton number density. The phase diagram of the theory is calculated by relating the full 4-dimensional theory to a 3-dimensional effective theory which has been previously…

High Energy Physics - Phenomenology · Physics 2009-11-10 A. Gynther

The highly insulating antiferromagnetic phase of the magnetic- organic conductor lambda-(BETS)2FeCl4 has been probed by resonant mm wave methods vs. magnetic field, temperature, and frequency. Our results show evidence for magnetic…

Strongly Correlated Electrons · Physics 2007-05-23 I. Rutel , S. Okubo , H. Ohta , H. Tanaka , H. Kobayashi , J. Brooks

Using a real-space renormalization group procedure with no adjustable parameters, we investigate the Blume-Emery-Griffiths model on the square lattice. The formalism respects sublattice symmetry, allowing the study of both signs of K, the…

Statistical Mechanics · Physics 2015-06-25 N. S. Branco

We address two central open problems in the theory of anomalous Mpemba-like relaxations: their extension beyond one spatial dimension and their consistent formulation in the thermodynamic limit. Our framework is the antiferromagnetic Ising…

Statistical Mechanics · Physics 2026-03-13 Emilio Pomares , Víctor Martín-Mayor , Antonio Lasanta , Gabriel Álvarez

The existence of the linear on the order parameter term of the thermodynamic functions expansion near the critical point is justified. The criticism of the arguments, used for the rejection of the odd-power expansion terms of the…

Condensed Matter · Physics 2007-05-23 V. A. Skrebnev

We analyze an asymptotically exact solution for the transition temperature of p-wave superconductivity near ferromagnetic criticality on the basis of the three-dimensional electron systems in which scattering processes are dominated by…

Superconductivity · Physics 2009-11-10 Satoshi Fujimoto

We examine electronic states of antiferromagnetic phase in iron pnictides by mean-field calculations of the optical conductivity. We find that a five-band model exhibiting a small magnetic moment, inconsistent with the first-principles…

Superconductivity · Physics 2009-12-14 E. Kaneshita , T. Morinari , T. Tohyama

We find the exact critical temperature $T_c$ of the nearest-neighbor ferromagnetic Ising model on an `equilibrium' random graph with an arbitrary degree distribution $P(k)$. We observe an anomalous behavior of the magnetization, magnetic…

Statistical Mechanics · Physics 2016-08-31 S. N. Dorogovtsev , A. V. Goltsev , J. F. F. Mendes

We show that the anti-ferromagnetic Potts model on trees exhibits strong spatial mixing for a near-optimal range of parameters. Our work complements recent results of Chen, Liu, Mani, and Moitra [arXiv.2304.01954] who showed this to be true…

Probability · Mathematics 2024-12-06 Ferenc Bencs , Khallil Berrekkal , Guus Regts

We investigate numerically and analytically Potts models on ``thin'' random graphs -- generic Feynman diagrams, using the idea that such models may be expressed as the N --> 1 limit of a matrix model. The thin random graphs in this limit…

High Energy Physics - Lattice · Physics 2008-11-26 D. A. Johnston , P. Plechac

We prove rigorously that the ferromagnetic Ising model on any nonamenable Cayley graph undergoes a continuous (second-order) phase transition in the sense that there is a unique Gibbs measure at the critical temperature. The proof of this…

Probability · Mathematics 2020-07-31 Tom Hutchcroft