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Using density matrix renormalization group simulations on open chains, we map out the wave-vector in the incommensurate disordered phase of a realistic model of Rydberg chains with $1/r^6$ interactions, and we locate and characterize the…

强关联电子 · 物理学 2022-11-18 Ivo A. Maceira , Natalia Chepiga , Frédéric Mila

We address the geometrical critical behavior of the two-dimensional Q-state Potts model in terms of the spin clusters (i.e., connected domains where the spin takes a constant value). These clusters are different from the usual…

统计力学 · 物理学 2017-12-22 Jérôme Dubail , Jesper Lykke Jacobsen , Hubert Saleur

We consider the ferromagnetic q-state Potts model with zero external field in a finite volume evolving according to Glauber-type dynamics described by the Metropolis algorithm in the low temperature asymptotic limit. Our analysis concerns…

概率论 · 数学 2024-05-09 Gianmarco Bet , Anna Gallo , Francesca Romana Nardi

Critical behaviour of a system, subjected to strongly anisotropic turbulent mixing, is studied by means of the field theoretic renormalization group. Specifically, relaxational stochastic dynamics of a non-conserved multicomponent order…

统计力学 · 物理学 2012-06-11 N. V. Antonov , A. V. Malyshev

We show how to couple two critical Q-state Potts models to yield a new self-dual critical point. We also present strong evidence of a dense critical phase near this critical point when the Potts models are defined in their completely packed…

统计力学 · 物理学 2010-12-09 Paul Fendley , Jesper Lykke Jacobsen

We numerically investigate the two-dimensional q-state quantum Potts model on the infinite square lattice by using the infinite projected entangled-pair state (iPEPS) algorithm. We show that the quantum fidelity, defined as an overlap…

强关联电子 · 物理学 2014-07-09 Yan-Wei Dai , Sam Young Cho , Murray T. Batchelor , Huan-Qiang Zhou

In the presented study we investigated the second order endpoints of the lines of first order phase transitions which emerge for the QCD in the heavy and light quark mass regime and for the three-dimensional three state Potts model with an…

高能物理 - 格点 · 物理学 2009-11-07 F. Karsch , Ch. Schmidt , S. Stickan

Quantum critical points in quasiperiodic magnets can realize new universality classes, with critical properties distinct from those of clean or disordered systems. Here, we study quantum phase transitions separating ferromagnetic and…

无序系统与神经网络 · 物理学 2020-12-29 Utkarsh Agrawal , Sarang Gopalakrishnan , Romain Vasseur

We consider the two-dimensional dilute q-state Potts model on its first order phase transition surface for 0<q\leq 4. After determining the exact scattering theory which describes the scaling limit, we compute the two-kink form factors of…

高能物理 - 理论 · 物理学 2009-10-31 G. Delfino

We use the multiscale entanglement renormalisation ansatz (MERA) to numerically investigate three critical quantum spin chains with Z_2 x Z_2 on-site symmetry: a staggered XXZ model, a transverse field cluster model, and the quantum…

强关联电子 · 物理学 2015-04-28 Jacob C. Bridgeman , Aroon O'Brien , Stephen D. Bartlett , Andrew C. Doherty

Using the corner-transfer matrix renormalization group approach, we revisit the three-state chiral Potts model on the square lattice, a model proposed in the eighties to describe commensurate-incommensurate transitions at surfaces, and with…

统计力学 · 物理学 2021-04-20 Samuel Nyckees , Jeanne Colbois , Frédéric Mila

Here we consider a one-dimensional $q$-state Potts model with an external magnetic field and an anisotropic interaction that selects neighboring sites that are in the spin state 1. The present model exhibits an unusual behavior in the…

统计力学 · 物理学 2021-06-09 Yury Panov , Onofre Rojas

We consider the quasi-classical limit of Nelson-type regularized polaron models describing a particle interacting with a quantized bosonic field. We break translation-invariance by adding an attractive external potential decaying at…

偏微分方程分析 · 数学 2025-02-05 Marco Falconi , Alessandro Olgiati , Nicolas Rougerie

The three-dimensional, three-state Potts model is studied as a paradigm for high temperature quantum chromodynamics. In a high statistics numerical simulation using a Swendson-Wang algorithm, we study cubic lattices of dimension as large as…

高能物理 - 格点 · 物理学 2008-11-26 Jing-Dong Wang , Carleton DeTar

We revisit in this paper the problem of connectivity correlations in the Fortuin-Kasteleyn cluster representation of the two-dimensional $Q$-state Potts model conformal field theory. In a recent work [M. Picco, S. Ribault and R.…

数学物理 · 物理学 2018-10-02 Jesper Lykke Jacobsen , Hubert Saleur

The systems exhibiting quantum phase transitions (QPT) are investigated within the Ising model in the transverse field and Heisenberg model with easy-plane single-site anisotropy. Near QPT a correspondence between parameters of these models…

凝聚态物理 · 物理学 2009-10-31 V. Yu. Irkhin , A. A. Katanin

We study three-state Potts spins on a square lattice, in which all bonds are ferromagnetic along one of the lattice directions, and antiferromagnetic along the other. Numerical transfer-matrix are used, on infinite strips of width $L$…

统计力学 · 物理学 2009-11-07 Miguel Quartin , S L A de Queiroz

We study the critical frontiers of the Potts model on two-dimensional bow-tie lattices with fully inhomogeneous coupling constants. Generally, for the Potts critical frontier to be found exactly, the underlying lattice must be a 3-uniform…

统计力学 · 物理学 2015-06-11 Christian R. Scullard , Jesper Lykke Jacobsen

This article reports a measurement of the low-energy excitation spectrum along the critical line for a quantum spin chain having a local interaction between three Ising spins and longitudinal and transverse magnetic fields. The measured…

统计力学 · 物理学 2013-05-29 John F. McCabe , Tomasz Wydro

We analyze the evolution of the particle spectrum of the Tricritical Ising Model by varying the couplings of the energy and vacancy density fields. The particle content changes from the spectrum of a supersymmetric theory (either of an…

高能物理 - 理论 · 物理学 2008-11-26 Luca Lepori , Giuseppe Mussardo , Gabor Zs. Toth