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Related papers: Dynamic scaling theory for a field quench near the…

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We propose a unified scaling theory of entanglement entropy in the confinements of finite bond dimensions, dynamics and system sizes. Within the theory, the finite-entanglement scaling introduced recently is generalized to the dynamics…

Statistical Mechanics · Physics 2018-12-26 Xuanmin Cao , Qijun Hu , Fan Zhong

Spin and spatial dimensionalities are universal concepts, essential for describing both phase transitions and dynamics in magnetic materials. Lately, these ideas have been adopted to describe magnetic properties of metamaterials, as well as…

Using Monte Carlo simulations, we have studied the relaxation of energy of the three-dimensional Ising spin-glass model in aging process. Our finite-size-scaling analysis on the isothermal energy decay after the quench suggests strongly…

Disordered Systems and Neural Networks · Physics 2009-10-31 Tatsuo Komori , Hajime Yoshino , Hajime Takayama

We study experimentally and numerically the dynamics of the spin ice material Dy$_2$Ti$_2$O$_7$ in the low temperature ($T$) and moderate magnetic field ($\mathbf{B}$) regime ($T\in[0.1,1.7]K$, $B\in[0,0.3]T$). Our objective is to…

We show that, based on the critical state model for flux-line pinning in hard superconductors, one can assess the magnetic moment relaxation induced by the oscillations of a perpendicular magnetic field. Our theory follows a recent proposal…

Superconductivity · Physics 2016-08-14 A. Badía-Majós , C. López

We investigate the time evolution of the density of kinks in the spin-1/2 quantum Ising spin chain after a sudden quench in the transverse field strength, and find that it relaxes to a value which depends on the initial and the final values…

Statistical Mechanics · Physics 2009-10-22 Sei Suzuki , Davide Rossini , Giuseppe E. Santoro

We review the non-zero temperature relaxational dynamics of quantum systems near a zero temperature, second-order phase transition. We begin with the quantum Ising chain, for which universal and exact results for the relaxation rates can be…

Strongly Correlated Electrons · Physics 2017-08-23 Subir Sachdev

Collective dynamics in lithographically-defined artificial spin ices offer profound insights into emergent correlations and phase transitions of geometrically-frustrated Ising spin systems. Their temporal and spatial evolution are often…

By analyzing spin-spin correlation functions at relatively short distances, we show that equilibrium near-critical properties can be extracted at short times after quenches into the vicinity of a quantum critical point. The time scales…

Statistical Mechanics · Physics 2018-03-06 Markus Karl , Halil Cakir , Jad C. Halimeh , Markus K. Oberthaler , Michael Kastner , Thomas Gasenzer

A scaling theory of the Kondo lattices with frustrated exchange interactions is developed, criterium of antiferromagnetic ordering and quantum-disordered state being investigated. The calculations taking into account magnon and incoherent…

Strongly Correlated Electrons · Physics 2019-12-18 V. Yu. Irkhin

We study a nonequilibrium Ising model that stochastically evolves under the simultaneous operation of several spin-flip mechanisms. In other words, the local magnetic fields change sign randomly with time due to competing kinetics. This…

Statistical Mechanics · Physics 2015-05-18 Nuno Crokidakis

The dynamical behaviours of a kinetically constrained spin model (Fredrickson-Andersen model) on a Bethe lattice are investigated by a perturbation analysis that provides exact final states above the nonergodic transition point. It is…

Statistical Mechanics · Physics 2015-05-19 Hiroki Ohta

Using numerical simulations we investigate the properties of the dynamic phase transition that is encountered in the three-dimensional Ising model subjected to a periodically oscillating magnetic field. The values of the critical exponents…

Statistical Mechanics · Physics 2013-04-01 Hyunhang Park , Michel Pleimling

We study the dynamics of 2d spin-ice following a quench from a fully disordered initial condition (equilibrium at infinite temperature) into its disordered, ferromagnetic and antiferromagnetic phases. We analyze the evolution of the density…

Statistical Mechanics · Physics 2012-02-13 Demian Levis , Leticia F. Cugliandolo

We present detailed analytical studies on the zero temperature coarsening dynamics in an Ising spin chain in presence of a dynamically induced field that favors locally the `-' phase compared to the `+' phase. We show that the presence of…

Statistical Mechanics · Physics 2009-11-07 Satya N. Majumdar , David S. Dean

We study the three-dimensional Kasteleyn transition in both nearest neighbours and dipolar spin ice models using an algorithm that conserves the number of excitations. We first limit the interactions range to nearest neighbours to test the…

Strongly Correlated Electrons · Physics 2017-01-04 M. L. Baez , R. A. Borzi

We theoretically study the quench dynamics of induced anisotropy of a large-spin magnetic molecule coupled to spin-polarized ferromagnetic leads. The real-time evolution is calculated by means of the time-dependent density-matrix numerical…

Mesoscale and Nanoscale Physics · Physics 2020-07-01 Kacper Wrześniewski , Ireneusz Weymann

We study slow variation (both spatial as well as temporal) of a parameter of a system in the vicinity of discontinuous quantum phase transitions, in particular, a discontinuity critical point (DCP) (or a first-order critical point). We…

Statistical Mechanics · Physics 2015-09-02 Sei Suzuki , Amit Dutta

We investigate dynamic scaling properties of the two-dimensional gauge glass model for the vortex glass phase in superconductors with quenched disorder. From extensive Monte Carlo simulations we obtain static and dynamic finite size scaling…

Disordered Systems and Neural Networks · Physics 2007-05-23 Marios Nikolaou , Mats Wallin

Multi-domain states of square artificial spin ice show a range of different morphologies ranging from simple stripe-like domains to more organically shaped coral domains. To model the relevant dynamics leading to the emergence of such…

Mesoscale and Nanoscale Physics · Physics 2026-01-09 Matteo Menniti , Naëmi Leo , Pedro Villalba-González , Matteo Pancaldi , and Paolo Vavassori