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We discuss time-quantified Monte-Carlo simulations on classical spin chains with uniaxial anisotropy in relation to static calculations. Depending on the thickness of domain walls, controlled by the relative strength of the exchange and…

Statistical Mechanics · Physics 2015-03-19 Orlando V. Billoni , Vivien Pianet , Danilo Pescia , Alessandro Vindigni

The stability of the magnetization $m=1/3$ plateau phase of the XXZ spin-1/2 Heisenberg chain with competing interactions is investigated upon switching on a staggered transverse magnetic field. Within a bosonization approach, it is shown…

Strongly Correlated Electrons · Physics 2009-11-10 P. Lecheminant , E. Orignac

Critical scaling and universality in short-time dynamics for spin models on a two-dimensional triangular lattice are investigated by using Monte Carlo simulation. Emphasis is placed on the dynamic evolution from fully ordered initialstates…

Soft Condensed Matter · Physics 2009-11-07 H. P. Ying , L. Wang , J. B Zhang , M. Jiang , J. Hu

We consider a one-dimensional Ising model in a transverse magnetic field coupled to a dissipative heat bath. The phase diagram and the critical exponents are determined from extensive Monte Carlo simulations. It is shown that the character…

Statistical Mechanics · Physics 2007-05-23 Philipp Werner , Klaus Voelker , Matthias Troyer , Sudip Chakravarty

We measure thermodynamic magnetization of a low-disordered, strongly correlated two-dimensional electron system in silicon. Pauli spin susceptibility is observed to grow critically at low electron densities - behavior that is characteristic…

Strongly Correlated Electrons · Physics 2007-05-23 S. V. Kravchenko , A. A. Shashkin , S. Anissimova , A. Venkatesan , M. R. Sakr , V. T. Dolgopolov , T. M. Klapwijk

Magnetic skyrmions with its topologically protected, nano-sized spin textures have already earned immense fame as information carriers due to their stability and low-current mobility. While ferromagnetic skyrmions suffer from a transverse…

Strongly Correlated Electrons · Physics 2025-07-01 Rajdip Banerjee , Satyaki Kar

Starting from the stochastic Landau-Lifschitz-Gilbert equation, we derive Langevin equations that describe the nonzero-temperature dynamics of a rigid domain wall. We derive an expression for the average drift velocity of the domain wall as…

Materials Science · Physics 2009-11-11 R. A. Duine , A. S. Nunez , A. H. MacDonald

With Monte Carlo simulations, we systematically investigate the depinning phase transition in the two-dimensional driven random-field clock model. Based on the short-time dynamic approach, we determine the transition field and critical…

Disordered Systems and Neural Networks · Physics 2012-10-16 X. P. Qin , B. Zheng , N. J. Zhou

Understanding and manipulating nanoscale domain wall (DW) dynamics is a central topic in magnetism and spintronics for its promising applications in logic and memory devices. In most magnetic systems, inertia affects only transient DW…

Mesoscale and Nanoscale Physics · Physics 2026-03-20 K. Y. Jing , X. R. Wang , H. Y. Yuan

High temperature series expansions of the spin-spin correlation function for the XY (or plane rotator) model on the triangular lattice are extended by two terms up to order beta^{14}. Tables of the expansion coefficients are reported for…

Statistical Mechanics · Physics 2009-10-31 P. Butera , M. Comi

We study an irreversible Markov chain Monte Carlo method based on a skew detailed balance condition for an one-dimensional Ising model. Dynamical behavior of the magnetization density is analyzed in order to understand the properties of…

Statistical Mechanics · Physics 2015-06-12 Yuji Sakai , Koji Hukushima

Non-trivial topological behavior appears in many different contexts in statistical physics, perhaps the most known one being the Kosterlitz-Thouless phase transition in the two dimensional XY model. We study the behavior of a simpler, one…

Probability · Mathematics 2021-04-28 Clément Cosco , Assaf Shapira

The concept of Schramm-Loewner evolution provides a unified description of domain boundaries of many lattice spin systems in two dimensions, possibly even including systems with quenched disorder. Here, we study domain walls in the…

Statistical Mechanics · Physics 2015-03-17 Jacob D. Stevenson , Martin Weigel

We report first principle numerical study of domain wall (DW) depinning in two-dimensional magnetic film, which is modeled by 2D random-field Ising system with the dipole-dipole interaction. We observe nonconventional activation-type motion…

Statistical Mechanics · Physics 2015-01-20 Bin Xi , Meng-Bo Luo , Valerii M. Vinokur , Xiao Hu

We have performed studies of the 3D random field $XY$ model on $L \times L \times L$ simple cubic lattices with periodic boundary conditions, with a random field strength of $h_r$ = 1.875, for $L = 64$ and $L = 96$, using a parallelized…

Disordered Systems and Neural Networks · Physics 2018-08-10 Ronald Fisch

The XY model with quenched random disorder is studied by a zero temperature domain wall renormalization group method in 2D and 3D. Instead of the usual phase representation we use the charge (vortex) representation to compute the domain…

Statistical Mechanics · Physics 2009-11-07 N. Akino , J. M. Kosterlitz

We theoretically study the current-induced dynamics of a transverse magnetic domain wall in bi-layer nanowires consisting of a ferromagnet on top of a nonmagnet having strong spin-orbit coupling. Domain wall dynamics is characterized by two…

Mesoscale and Nanoscale Physics · Physics 2012-07-18 Soo-Man Seo , Kyoung-Whan Kim , Jisu Ryu , Hyun-Woo Lee , Kyung-Jin Lee

The two-dimensional random gauge \xy model, where the quenched random variables are magnetic bond angles uniformly distributed within $[-r\pi, r\pi]$ ($0 \leq r \leq 1$), is studied via Monte Carlo simulations. We investigate the phase…

Superconductivity · Physics 2007-05-23 Petter Holme , Petter Minnhagen , Beom Jun Kim

Spin-orbit spin transfer torque allows an efficient control of magnetization by an in-plane current. Recent experiments found that the spin-orbit torque has strong dependence on the magnetization angle [Garello et al., Nature Nanotechnol.…

Materials Science · Physics 2016-01-20 Seo-Won Lee , Kyung-Jin Lee

We study the critical properties of the $3d$ $O(2)$ universality class in bounded domains through Monte Carlo simulations of the clock model. We use an improved version of the latter, chosen to minimize finite-size corrections at…

High Energy Physics - Lattice · Physics 2021-10-25 Alessandro Galvani , Giacomo Gori , Andrea Trombettoni
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