Dynamic approach to finite-temperature magnetic phase transitions in the extended<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mi>J</mml:mi><mml:mn>1</mml:mn></mml:msub><mml:mo>−</mml:mo><mml:msub><mml:mi>J</mml:mi><mml:mn>2</mml:mn></mml:msub></mml:mrow></mml:math>model with vacancy order

Zhou, N. J.; Zheng, Bo; Dai, Jianhui

doi:10.1103/physreve.87.022113

Cited by 4 publications

(3 citation statements)

References 73 publications

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“…Besides the LLG equation, the quenched Edwards-Wilkinson equation and the Ising model with quenched disorder are usually utilized to investigate the critical dynamics of the domain wall or the interface [44,[52][53][54][55][56][57][58][59][60][61][62]. The critical exponents of the quenched Edwards-Wilkinson equation are β = 0.245(6), ν = 1.333 (7), z = 1.433 (7), and ζ = 1.250 (5) [58].…”

Section: J Stat Mech (2019) 053303mentioning

confidence: 99%

Depinning phase transitions of current- and field-driven domain wall motion

Jin¹,

Zhou²,

Xiong³

et al. 2019

J. Stat. Mech.

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With the Landau-Lifshitz-Gilbert (LLG) equation, we investigate critical dynamic behaviors of the domain wall driven by the electric current and the magnetic field in disordered magnetic films. Based on the dynamic scaling form far from stationary, the critical points, and both the static and dynamic exponents of the depinning phase transition are accurately determined. The phase diagram is comprehensively depicted, which agrees with and goes beyond that of the experiments. The adiabatic and non-adiabatic spin-transfer torques induced by the electric current play distinct roles in the depinning phase transition. The novel dynamic approach to the numerical simulations of the LLG equation shows its great eciency.

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Section: J Stat Mech (2019) 053303mentioning

confidence: 99%

Depinning phase transitions of current- and field-driven domain wall motion

Jin¹,

Zhou²,

Xiong³

et al. 2019

J. Stat. Mech.

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“…For a sufficiently large lattice L ≫ ξ(t), the dynamic behavior of ξ(t) can be extracted from the correlation function [29,49],…”

Section: Model and Scaling Analysismentioning

confidence: 99%

Nonsteady dynamic properties of a domain wall for the creep state under an alternating driving field

Zhou

Zheng

2014

Phys. Rev. E

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“…Since the measurements are carried out in the short-time regime, the methods do not suffer from critical slowing down. A variety of important problems can be tackled with the shorttime dynamic approach [30][31][32][33], including very recent ones such as the interface growth, domain-wall motion and structural glass dynamics [34][35][36][37][38][39][40][41].…”

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confidence: 99%

Corrections to scaling in the dynamic approach to the phase transition with quenched disorder

Wang¹,

Zhou²,

Zheng³

2014

EPL

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-With dynamic Monte Carlo simulations, we investigate the continuous phase transition in the three-dimensional three-state random-bond Potts model. We propose a useful technique to deal with the strong corrections to the dynamic scaling form. The critical point, static exponents β and ν, and dynamic exponent z are accurately determined. Particularly, the results support that the exponent ν satisfies the lower bound ν 2/d.Introduction. -The effects of quenched disorder on phase transitions are of great interest in physics for decades. Recent efforts on the theoretical and numerical studies can be found for example in Refs. [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16]. It has been rigorously proven that an infinitesimal amount of quenched disorder coupled to the energy density will turn a first-order transition to a continuous one when the spatial dimension d 2 [17,18]. This phenomenon has been observed, for example, in the two-dimensional (2D) eight-state Potts model, Blume-Capel model and three-Color Ashkin-Teller model [13,19,20]. For the case of d = 3, the phase transition may persist first order if the strength of quenched disorder is weak, and then soften to continuous if the strength is strong enough [10,14,21,22].The effects of quenched disorder, imposed to a pure system with a continuous phase transition, can be judged by the specific heat exponent α p or the correlation length exponent ν p of the pure system according to the Harris criterion [23]. If α p < 0 or ν p > 2/d, the disorder is irrelevant to the critical behavior, and if α p > 0 or ν p < 2/d, the disorder is relevant, and leads to a new universality class governed by the 'disorder' fixed point [7,11]. For the marginal case α p = 0, the criterion can not give a conclusion whether the disorder is relevant or not, and numerical results support that the model obeys the strong universality hypothesis with logarithmic correlations [5,24]. On the other hand, for a disordered system with a continuous phase transition, which is governed by the 'disorder' fixed point, the specific heat exponent α does not decide whether the disorder is relevant. It is only proven that a lower bound ν 2/d should be satisfied [25][26][27].To clarify the effects of quenched disorder on phase transitions, extensive numerical studies have been performed, for example, for the three-dimensional (3D) q-state site-diluted Potts model, bond-diluted Potts model and random-bond Potts model [4,12,15,16,22]. Recently, a numerical study based on the finite-time scaling and dynamic Monte Carlo renormalization-group methods gives ν = 0.554(9) for the 3D three-state random-bond

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Dynamic approach to finite-temperature magnetic phase transitions in the extendedJ1−J2model with vacancy order

Abstract: The recently discovered iron-based superconductors A y

Cited by 4 publications

References 73 publications

Depinning phase transitions of current- and field-driven domain wall motion

Depinning phase transitions of current- and field-driven domain wall motion

Nonsteady dynamic properties of a domain wall for the creep state under an alternating driving field

Corrections to scaling in the dynamic approach to the phase transition with quenched disorder

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