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The nature of the Mott-Hubbard metal-insulator transition in the infinite-dimensional Hubbard model is investigated by Quantum Monte Carlo simulations down to temperature T=W/140 (W=bandwidth). Calculating with significantly higher…

强关联电子 · 物理学 2009-10-31 J. Schlipf , M. Jarrell , P. G. J. van Dongen , N. Blümer , S. Kehrein , Th. Pruschke , D. Vollhardt

We investigate the first-order transition in the spin-1 two-dimensional Blume-Capel model in square lattices by revisiting the transfer-matrix method. With large strip widths increased up to the size of 18 sites, we construct the detailed…

统计力学 · 物理学 2017-12-12 Moonjung Jung , Dong-Hee Kim

Phase transitions of first and second order can easily be distinguished in small systems in the microcanonical ensemble. Configurations of phase coexistence, which are suppressed in the canonical formulation, carry important information…

凝聚态物理 · 物理学 2007-05-23 D. H. E. Gross , A. Ecker , X. Z. Zhang

We study by extensive Monte Carlo simulations the effect of random bond dilution on the phase transition of the three-dimensional 4-state Potts model which is known to exhibit a strong first-order transition in the pure case. The phase…

统计力学 · 物理学 2010-07-06 Christophe Chatelain , Bertrand Berche , Wolfhard Janke , Pierre Emmanuel Berche

The numerical simulation of strongly first-order phase transitions has remained a notoriously difficult problem even for classical systems due to the exponentially suppressed (thermal) equilibration in the vicinity of such a transition. In…

统计力学 · 物理学 2010-04-14 Bela Bauer , Emanuel Gull , Simon Trebst , Matthias Troyer , David A. Huse

We consider the $Q$-state Potts model on $\mathbb Z^d$, $Q\ge 3$, $d\ge 2$, with Kac ferromagnetic interactions and scaling parameter $\ga$. We prove the existence of a first order phase transition for large but finite potential ranges.…

数学物理 · 物理学 2014-09-25 Thierry Gobron , Immacolata Merola

We study complex CFTs describing fixed points of the two-dimensional $Q$-state Potts model with $Q>4$. Their existence is closely related to the weak first-order phase transition and walking RG behavior present in the real Potts model at…

高能物理 - 理论 · 物理学 2018-11-28 Victor Gorbenko , Slava Rychkov , Bernardo Zan

The random q-state quantum Potts model is studied on hypercubic lattices in dimensions 2 and 3 using the numerical implementation of the Strong Disorder Renormalization Group introduced by Kovacs and Igl{\'o}i [Phys. Rev. B 82, 054437…

无序系统与神经网络 · 物理学 2021-05-26 Valentin Anfray , Christophe Chatelain

Systems with a bulk first-order transition can display diverging correlation lengths close to a surface. This surface induced disordering yields a special type of surface criticality. Using extensive numerical simulations we study surface…

统计力学 · 物理学 2014-02-07 Linjun Li , Michel Pleimling

We study the Mott transition occurring for bosonic Hubbard models in one, two, and three spatial dimensions, by means of a variational wave function benchmarked by Green's function Monte Carlo calculations. We show that a very accurate…

强关联电子 · 物理学 2009-11-13 Manuela Capello , Federico Becca , Michele Fabrizio , Sandro Sorella

We have calculated the large-q expansion for the energy cumulants at the phase transition point in the two-dimensional q-state Potts model to the 23rd order in $1/\sqrt{q}$ using the finite lattice method. The obtained series allow us to…

高能物理 - 格点 · 物理学 2007-05-23 H. Arisue , K. Tabata

A hybrid Potts model where a random concentration $p$ of the spins assume $q_0$ states and a random concentration $1-p$ of the spins assume $q>q_0$ states is introduced. It is known that when the system is homogeneous, with an integer spin…

统计力学 · 物理学 2022-05-03 Nir Schreiber , Reuven Cohen , Gideon Amir , Simi Haber

We present an exact solution of the q-state Potts model on a class of generalized Sierpinski fractal lattices. The model is shown to possess an ordered phase at low temperatures and a continuous transition to the high temperature disordered…

无序系统与神经网络 · 物理学 2015-06-15 Liang Tian , Hui Ma , Wenan Guo , Lei-Han Tang

The $q$-state Potts model with a long-range correlated disorder is studied by means of large-scale Monte Carlo simulations for $q=2,4,8$ and 16. Evidence is given of the existence of a Griffiths phase, where the thermodynamic quantities…

统计力学 · 物理学 2015-06-16 Christophe Chatelain

We study the interactions between the coherent quasiparticles and the incoherent Mott-Hubbard excitations and their effects on the low energy properties in the $U=\infty$ Hubbard model. Within the framework of a systematic large-N…

强关联电子 · 物理学 2009-10-31 Arti Tandon , Ziqiang Wang , Gabriel Kotliar

The existence and limits of metastable droplets have been calculated using finite-system renormalization-group theory, for q-state Potts models in spatial dimension d=3. The dependence of the droplet critical sizes on magnetic field,…

统计力学 · 物理学 2021-05-20 E. Can Artun , A. Nihat Berker

We study the effect of thermal fluctuations on the wetting phase transitions of infinite order and of continuously varying order, recently discovered within a mean-field density-functional model for three-phase equilibria in systems with…

统计力学 · 物理学 2013-08-21 J. O. Indekeu , K. Koga , H. Hooyberghs , A. O. Parry

We analyze the scaling and finite-size-scaling behavior of the two-dimensional 4-state Potts model. We find new multiplicative logarithmic corrections for the susceptibility, in addition to the already known ones for the specific heat. We…

高能物理 - 格点 · 物理学 2009-10-28 Jesús Salas , Alan D. Sokal

A rigorous theorem due to Aizenman and Wehr asserts that there can be no latent heat heat in a two-dimensional system with quenched random impurities. We examine this result, and its possible extensions to higher dimensions, in the context…

统计力学 · 物理学 2009-10-31 John Cardy

We study the QCD phases and their transitions in 2+1 flavour NJL model, with focus on the interface effects such as the interface tension, the interface entropy and critical bubble size in the coexistence region of the first order phase…

高能物理 - 唯象学 · 物理学 2015-06-18 Wei-yao Ke , Yu-xin Liu