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We study the two-dimensional kinetic Ising model below its equilibrium critical temperature, subject to a square-wave oscillating external field. We focus on the multi-droplet regime where the metastable phase decays through nucleation and…

Statistical Mechanics · Physics 2009-10-31 G. Korniss , C. J. White , P. A. Rikvold , M. A. Novotny

The quasi-one-dimensional (1D) Ising ferromagnet CoNb$_2$O$_6$ has recently been driven via applied transverse magnetic fields through a continuous quantum phase transition from spontaneous magnetic order to a quantum paramagnet, and…

Strongly Correlated Electrons · Physics 2014-07-21 I. Cabrera , J. D. Thompson , R. Coldea , D. Prabhakaran , R. I. Bewley , T. Guidi , J. A. Rodriguez-Rivera , C. Stock

We consider the behaviour of a critical system in the presence of a gradient perturbation of the couplings. In the direction of the gradient an interface region separates the ordered phase from the disordered one. We develop a scaling…

Other Condensed Matter · Physics 2009-10-06 Thierry Platini , Dragi Karevski , Loïc Turban

Critical properties of the Ising model on a stacked triangular lattice, with antiferromagnetic first and second-neighbor in-plane interactions, are studied by extensive histogram Monte Carlo simulations. The results, in conjunction with the…

Condensed Matter · Physics 2009-10-22 M. L. Plumer , A. Mailhot , R. Ducharme , A. Caillé , H. T. Diep

We introduce a solvable quantum antiferromagnetic model. The model, with Ising spins in a transverse field, has infinite range antiferromagnetic interactions with random fields on each site, following an arbitrary distribution. As is…

Disordered Systems and Neural Networks · Physics 2009-11-11 Bikas K. Chakrabarti , Arnab Das , Jun-ichi Inoue

A string of repulsively interacting particles exhibits a phase transition to a zigzag structure, by reducing the transverse trap potential or the interparticle distance. The transition is driven by transverse, short wavelength vibrational…

Statistical Mechanics · Physics 2013-10-30 Pietro Silvi , Gabriele De Chiara , Tommaso Calarco , Giovanna Morigi , Simone Montangero

We perform extensive Monte Carlo simulations to investigate the dynamic phase transition properties of the two-dimensional kinetic Ising model on the kagome lattice in the presence of square-wave oscillating magnetic field. Through detailed…

Statistical Mechanics · Physics 2022-11-30 Zeynep Demir Vatansever

We approach the study of non--integrable models of two--dimensional quantum field theory as perturbations of the integrable ones. By exploiting the knowledge of the exact $S$-matrix and Form Factors of the integrable field theories we…

High Energy Physics - Theory · Physics 2008-11-26 G. Delfino , G. Mussardo , P. Simonetti

We show that the symmetry-breaking gap of the quantum Ising model in the transverse field can be extracted from free evolution of the longitudinal magnetization taking place after a gradual quench of the magnetic field. We perform for this…

Statistical Mechanics · Physics 2020-02-19 Michał Białończyk , Bogdan Damski

We study the quantum relaxation of the two-dimensional transverse-field Ising model after global quenches with a real-time variational Monte Carlo method and address the question whether this non-integrable, two-dimensional system…

Statistical Mechanics · Physics 2017-01-18 Benjamin Blaß , Heiko Rieger

The behavior of the ground-state fidelity susceptibility in the vicinity of a quantum critical point is investigated. We derive scaling relations describing its singular behavior in the quantum critical regime. Unlike it has been found in…

Strongly Correlated Electrons · Physics 2010-02-18 A. Fabricio Albuquerque , Fabien Alet , Clément Sire , Sylvain Capponi

The quantum criticality of an Ising-like screw chain antiferromagnet SrCo$_2$V$_2$O$_8$, with a transverse magnetic field applied along the crystalline $a$-axis, is investigated by ultra-low temperature NMR measurements. The N\'{e}el…

Strongly Correlated Electrons · Physics 2019-08-14 Y. Cui , H. Zou , N. Xi , Zhangzhen He , Y. X. Yang , L. Shu , G. H. Zhang , Z. Hu , T. Chen , Rong Yu , Jianda Wu , Weiqiang Yu

We study the behaviour of a universal combination of susceptibility and correlation length in the Ising model in two and three dimensions, in presence of both magnetic and thermal perturbations, in the neighbourhood of the critical point.…

High Energy Physics - Lattice · Physics 2020-07-13 Michele Caselle , Marianna Sorba

We investigate the role of a transverse field on the Ising square antiferromagnet with first-($J_1$) and second-($J_2$) neighbor interactions. Using a cluster mean-field approach, we provide a telltale characterization of the frustration…

Statistical Mechanics · Physics 2019-01-23 N. Kellermann , M. Schmidt , F. M. Zimmer

The quantum antiferromagnetic spin-1/2 Ising model on a triangular lattice and analogous fully frustrated Ising model on a square lattice with quantum fluctuations induced by the application of the transverse magnetic field are studied at…

Strongly Correlated Electrons · Physics 2015-06-05 S. E. Korshunov

We propose two easy-to-study observables in the quantum Ising chain with open boundary conditions. They measure the length at which boundaries affect the longitudinal or transverse magnetization. We show that their finite-size scaling…

Statistical Mechanics · Physics 2018-10-03 Oskar A. Prośniak

We investigate a generalized antiferromagnetic cluster XY model in a transverse magnetic field, where long-range interactions decay algebraically with distance. This model can be exactly solvable within a free fermion framework. By…

Strongly Correlated Electrons · Physics 2025-02-07 Tian-Cheng Yi , Chengxiang Ding , Maoxin Liu , Liangsheng Li , Wen-Long You

In this contribution we perform a density matrix renormalization group study of chains of planar rotors interacting via dipolar interactions. By exploring the ground state from weakly to strongly interacting rotors, we find the occurrence…

Chemical Physics · Physics 2024-04-26 Tobias Serwatka , Pierre-Nicholas Roy

CoNb$_2$O$_6$ is a unique magnetic material. It features bulk three-dimensional magnetic order at low temperatures, but its quantum critical behavior in a magnetic field is well described by the one-dimensional transverse-field Ising…

Strongly Correlated Electrons · Physics 2026-01-01 Logan Sowadski , Thomas Vojta

The ordering of charges on half-filled hypercubic lattices is investigated numerically, where electroneutrality is ensured by background charges. This system is equivalent to the $s = 1/2$ Ising lattice model with antiferromagnetic $1/r$…

Statistical Mechanics · Physics 2009-06-03 A. Mobius , U. K. Roessler
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