Dynamic Approach to the Fully Frustrated<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="italic">XY</mml:mi></mml:math>Model

Luo, H. J.; Schülke, L.; Zheng, Bo

doi:10.1103/physrevlett.81.180

Cited by 114 publications

(155 citation statements)

References 25 publications

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“…It is impossible to locate the critical point from the auto-correlation. We measure the exponent λ = 1.36(3) at K c = 0.22165 in a time interval [20,100]. When t is bigger than 100, the fluctuation becomes large.…”

Section: Monte Carlo Simulationsmentioning

confidence: 99%

“…In recent years short-time critical dynamics has been systematically investigated with Monte Carlo simulations [11][12][13][14][15]. Simulations have extended from regular classical spin models [14,[16][17][18][19] to statistical systems with quenched disorder [20][21][22], quantum spin systems [23], lattice gauge theories [24], the hard-disk model [25,26] and dynamic systems without detailed balance [27][28][29][30][31]. The references given here are only a part of recent ones and not complete.…”

Section: Introductionmentioning

confidence: 99%

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Monte Carlo simulations of short-time critical dynamics with a conserved quantity

Zheng¹,

Luo²

2001

Phys. Rev. E

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With Monte Carlo simulations, we investigate short-time critical dynamics of the three-dimensional anti-ferromagnetic Ising model with a globally conserved magnetization m s (not the order parameter). From the power law behavior of the staggered magnetization (the order parameter), its second moment and the auto-correlation, we determine all static and dynamic critical exponents as well as the critical temperature. The universality class of m s = 0 is the same as that without a conserved quantity, but the universality class of non-zero m s is different.

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Section: Monte Carlo Simulationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Monte Carlo simulations of short-time critical dynamics with a conserved quantity

Zheng¹,

Luo²

2001

Phys. Rev. E

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“…The breakdown of these symmetries are the onset of two types of phase transitions, namely one corresponding to the magnetic transition of KosterlitzThouless (KT) type [18,19] and the other to the chiral transition. Whether these transitions are decoupled or occur at the same temperature has long been a controversy [4,5,6,7,8,9,10,12,13,14,15,16,17]. Another debated issue is whether the universality class of the chiral ordering belongs to the Ising universality class or not [5,6,7,17].…”

Section: Introductionmentioning

confidence: 99%

“…The so-called two-dimensional (2D) fully frustrated XY models have attracted an extensive investigation in the last two decades [1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17]. Due to the frustration the systems possess additional discrete reflection symmetry Z 2 , apart from the global spin rotation symmetry U (1).…”

Section: Introductionmentioning

confidence: 99%

“…As a 2D frustrated XY system, two lattice systems are frequently studied numerically. The first one is the square lattice where the interactions can be a regular mixture of ferromagnetic (F) and antiferromagnetic (AF) couplings (Villain model) [1,2,3,4,5,6,7,8,9,10,11,15]. The second one is the AF XY model on the triangular lattice [2,4,8,11,12,13,14,15,16,17].…”

Section: Introductionmentioning

confidence: 99%

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Study of the fully frustrated clock model using the Wang–Landau algorithm

Surungan

Okabe

Tomita

2004

J. Phys. A: Math. Gen.

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Monte Carlo simulations using the newly proposed Wang-Landau algorithm together with the broad histogram relation are performed to study the antiferromagnetic six-state clock model on the triangular lattice, which is fully frustrated. We confirm the existence of the magnetic ordering belonging to the Kosterlitz-Thouless (KT) type phase transition followed by the chiral ordering which occurs at slightly higher temperature. We also observe the lower temperature phase transition of KT type due to the discrete symmetry of the clock model. By using finite-size scaling analysis, the higher KT temperature T2 and the chiral critical temperature Tc are respectively estimated as T2 = 0.5154(8) and Tc = 0.5194(4). The results are in favor of the double transition scenario. The lower KT temperature is estimated as T1 = 0.496(2). Two decay exponents of KT transitions corresponding to higher and lower temperatures are respectively estimated as η2 = 0.25(1) and η1 = 0.13(1), which suggests that the exponents associated with the KT transitions are universal even for the frustrated model.

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Nonequilibrium relaxation method — an alternative simulation strategy

Ito

2005

Pramana - J Phys

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Dynamic Approach to the Fully FrustratedXYModel

Cited by 114 publications

References 25 publications

Monte Carlo simulations of short-time critical dynamics with a conserved quantity

Monte Carlo simulations of short-time critical dynamics with a conserved quantity

Study of the fully frustrated clock model using the Wang–Landau algorithm

Nonequilibrium relaxation method — an alternative simulation strategy

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