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We study the universal critical behaviour near weakly first-order phase transitions for a three-dimensional model of two coupled scalar fields -- the cubic anisotropy model. Renormalization-group techniques are employed within the formalism…

高能物理 - 理论 · 物理学 2009-10-30 N. Tetradis

We develop a novel real-space renormalization group (RG) scheme which accurately estimates correlation length exponent $\nu$ near criticality of higher-dimensional quantum Ising and Potts models in a transverse field. Our method is…

统计力学 · 物理学 2014-02-05 Aleksander Kubica , Beni Yoshida

We present a self consistent method based on cluster algorithms and Renormalization Group on the lattice to study critical systems numerically. We illustrate it by means of the 2D Ising model. We compute the critical exponents $\nu$ and…

统计力学 · 物理学 2009-12-01 Guillermo Palma , David Zambrano

A lot of progress has been made recently in our understanding of the random-field Ising model thanks to large-scale numerical simulations. In particular, it has been shown that, contrary to previous statements: the critical exponents for…

无序系统与神经网络 · 物理学 2018-07-10 Nikolaos G. Fytas , Victor Martin-Mayor , Marco Picco , Nicolas Sourlas

We study the critical breakdown of two-dimensional quantum magnets in the presence of algebraically decaying long-range interactions by investigating the transverse-field Ising model on the square and triangular lattice. This is achieved…

强关联电子 · 物理学 2019-01-09 S. Fey , Sebastian C. Kapfer , K. P. Schmidt

Two replicas of a 2D Ising model are coupled by frustrated spin-spin interactions. It is known that this inter-layer coupling is marginal and that the bulk critical behavior belongs to the Ashkin-Teller (AT) universality class, as the…

统计力学 · 物理学 2026-05-06 Christophe Chatelain

We study the criticality of long-range quantum ferromagnetic Ising chain with algebraically decaying interactions $1/r^{\alpha}$ via the fidelity susceptibility based on the exact diagonalization and the density matrix renormalization group…

量子气体 · 物理学 2018-08-09 Zhangqi Zhu , Gaoyong Sun , Wen-Long You , Da-Ning Shi

We study the quantum phase transition in the two-dimensional random Ising model in a transverse field by Monte Carlo simulations. We find results similar to those known analytically in one-dimension: the dynamical exponent is infinite and,…

无序系统与神经网络 · 物理学 2016-08-31 C. Pich , A. P. Young

We consider the effects of weak measurements on the quantum critical ground state of the one-dimensional (a) tricritical and (b) critical quantum Ising model, by measuring in (a) the local energy and in (b) the local spin operator in a…

统计力学 · 物理学 2024-09-04 Rushikesh A. Patil , Andreas W. W. Ludwig

We propose inverse renormalization group transformations within the context of quantum field theory that produce the appropriate critical fixed point structure, give rise to inverse flows in parameter space, and evade the critical slowing…

高能物理 - 格点 · 物理学 2022-02-25 Dimitrios Bachtis , Gert Aarts , Francesco Di Renzo , Biagio Lucini

We study quantum phase transitions in transverse-field Ising spin chains in which the couplings are random but hyperuniform, in the sense that their large-scale fluctuations are suppressed. We construct a one-parameter family of disorder…

统计力学 · 物理学 2019-10-23 Philip J. D. Crowley , C. R. Laumann , Sarang Gopalakrishnan

We apply real-space RG methods to study two quantum group invariant Hamiltonians, that of the XXZ model and the Ising model in a transverse field defined in an open chain with appropiate boundary terms. The quantum group symmetry is…

凝聚态物理 · 物理学 2008-11-26 Miguel A. Martin-Delgado , German Sierra

We consider random quantum (tight-binding, XX and Ising) spin chains in the off-critical region and study their Griffiths-McCoy singularities. These are obtained from the density of states of the low-energy excitations, which is calculated…

无序系统与神经网络 · 物理学 2010-08-09 Ferenc Iglói , István A. Kovács

The quantum tricriticality of d-dimensional transverse Ising-like systems is studied by means of a perturbative renormalization group approach focusing on static susceptibility. This allows us to obtain the phase diagram for 3<d<4, with a…

统计力学 · 物理学 2012-03-22 M. T. Mercaldo , I. Rabuffo , A. Naddeo , A. Caramico D'Auria , L. De Cesare

We study two models having an infinite-disorder critical point --- the zero temperature random transverse-field Ising model and the random contact process --- on a star-like network composed of $M$ semi-infinite chains connected to a common…

无序系统与神经网络 · 物理学 2015-06-19 Róbert Juhász

In the present paper we utilize the renormalization group(RG) technique to analyse the Ising critical behavior in the double frequency sine-Gordon model. The one-loop RG equations obtained show unambiguously that there exist two Ising…

强关联电子 · 物理学 2007-05-23 Fei Ye , Guo-Hui Ding , Bo-Wei Xu

A Monte Carlo Renormalization Group algorithm is used on the Ising model to derive critical exponents and the critical temperature. The algorithm is based on a minimum relative entropy iteration developed previously to derive potentials…

计算物理 · 物理学 2007-05-23 John P. Donohue

With the help of a smooth scaling and coarse-graining approach of observables, developed recently by us in the context of so-called fluctuation operators (inspired by prior work of Verbeure et al) we perform a rigorous renormalisation group…

数学物理 · 物理学 2007-05-23 Manfred Requardt

The numerical renormalization group method is used to investigate zero temperature phase transitions in quantum impurity systems, in particular in the particle-hole symmetric soft-gap Anderson model. The model displays two stable phases…

强关联电子 · 物理学 2007-05-23 Hyun-Jung Lee , Ralf Bulla , Matthias Vojta

We introduce a general method for optimizing real-space renormalization-group transformations to study the critical properties of a classical system. The scheme is based on minimizing the Kullback-Leibler divergence between the distribution…

统计力学 · 物理学 2019-12-20 Jui-Hui Chung , Ying-Jer Kao