Universal Berezinskii-Kosterlitz-Thouless dynamic scaling in the intermediate time range in frustrated Heisenberg antiferromagnets on a triangular lattice

Popov, Ivan S.; Прудников, П. В.; Ignatenko, A. N.; Катанин, А. А.

doi:10.1103/physrevb.95.134437

Cited by 12 publications

(5 citation statements)

References 50 publications

(82 reference statements)

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“…The change is due to the friction of the vortices in the process of motion with the friction constant γ(R) ∼ ln(ξ/a) [30]. Similar behavior occurs in other models (frustrated Heisenberg antiferromagnets on a triangular lattice [8]) with similar non-equilibrium vortex dynamics. The presence of defects aggregation can change this relation and introduce new dynamical scaling behavior.…”

supporting

confidence: 67%

“…The XY-model is used to describe the critical properties of a wide range of real physical systems [7], such as critical properties of ultra-thin magnetic films, extensive class of "easy plane" planar magnets and critical properties of some other physical systems. Some physical systems exhibit two-dimensional XY-like behavior under certain conditions, such as the frustrated Heisenberg antiferromagnets on a triangular lattice in non-equilibrium relaxation [8]. Despite extensive research [9,10], the influence of structural disorder on non-equilibrium critical phenomena in the 2D XY-model is not finally resolved.…”

mentioning

confidence: 99%

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Non-equilibrium vortex annealing of structural disorder in Berezinskii-Kosterlitz-Thouless dynamics of two-dimensional XY-model

Popov,

Popova,

Prudnikov

2018

Preprint

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The non-equilibrium annealing of structural disorder in a two-dimensional XY-model leads to coarsening of defects clusters in a cores of spin vortices. We revealed the effect of "inertial" growth of the clusters in coarsening dynamic regime. The calculated transverse stiffness ρ(p, T ) of the system in the high-temperature phase T > TBKT(p) becomes negative and has described by a power low ρ(p, T ) ∼ T −κ with temperature independent exponent κ = κ(p). The dynamical scaling lead to the dynamic dependence of the correlation length ξ ∼ (t/ ln q (t/t0)) 1/z which can be explained by a shift of spin vortices friction constant γ induced by annealed disorder.

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supporting

confidence: 67%

mentioning

confidence: 99%

Non-equilibrium vortex annealing of structural disorder in Berezinskii-Kosterlitz-Thouless dynamics of two-dimensional XY-model

Popov,

Popova,

Prudnikov

2018

Preprint

Self Cite

View full text Add to dashboard Cite

show abstract

“…The change is due to the friction of the vortices in the process of motion with the friction constant γ(R) ∼ ln(ξ/a) [31]. A similar behavior occurs in other models (frustrated Heisenberg antiferromagnets on a triangular lattice [8]) with similar non-equilibrium vortex dynamics. The presence of defects aggregation can change this relation and introduce a new dynamical scaling behavior.…”

supporting

confidence: 63%

“…The XY-model is used to describe the critical properties of a wide range of real physical systems [7], such as critical properties of ultra-thin magnetic films, an extensive class of "easy plane" planar magnets and critical properties of some other physical systems. Some physical systems exhibit two-dimensional XY-like behavior under certain conditions, such as the frustrated Heisenberg antiferromagnets on a triangular lattice in non-equilibrium relaxation [8]. Despite extensive research [9,10], the influence of structural disorder on non-equilibrium critical phenomena in the 2D XY-model is not finally resolved.…”

mentioning

confidence: 99%

Non-equilibrium vortex annealing of structural disorder in Berezinskii-Kosterlitz-Thouless dynamics of the two-dimensional XY-model

Popov¹,

Popova²,

Прудников³

2020

EPL

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The non-equilibrium annealing of structural disorder in a two-dimensional XY-model leads to coarsening of defects clusters in cores of spin vortices. We revealed the effect of "inertial" growth of the clusters in coarsening dynamic regime. The calculated transverse stiffness ρ(p, T ) as a function of temperature T and spin concentration p of the system in the high-temperature phase T > TBKT(p) becomes negative and it is described by a power law ρ(p, T ) ∼ T −κ with temperatureindependent exponent κ = κ(p). The dynamical scaling leads to the dynamic dependence of the correlation length ξ ∼ (t/ ln q (t/t0)) 1/z which can be explained by a shift of the spin vortices friction constant γ induced by annealed disorder.

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“…RLEs, although missed in the linear spin-wave theory, can be well captured by including 1/S corrections in calculating the magnon dispersions [41,45,46] and dynamical correlations [47,48]. Other proposals have also been put forward to understand RLEs, including the vortex-antivortex excitation [49] with signatures already in the classical TLH phase diagram versus finite temperature [50][51][52][53], (nearly deconfined) spinon-antispinon pair [16,40,54], and magnon-interactionstabilised excitations [47,55,56].…”

mentioning

confidence: 99%

Two-temperature scales in the triangular-lattice Heisenberg antiferromagnet

Chen

et al. 2019

Phys. Rev. B

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The anomalous thermodynamic properties of the paradigmatic frustrated spin-1/2 triangular lattice Heisenberg antiferromagnet (TLH) has remained an open topic of research over decades, both experimentally and theoretically. Here we further the theoretical understanding based on the recently developed, powerful exponential tensor renormalization group (XTRG) method on cylinders and stripes in a quasi one-dimensional (1D) setup, as well as a tensor product operator approach directly in 2D. The observed thermal properties of the TLH are in excellent agreement with two recent experimental measurements on the virtually ideal TLH material Ba8CoNb6O24. Remarkably, our numerical simulations reveal two crossover temperature scales, at T l /J ∼ 0.20 and T h /J ∼ 0.55, with J the Heisenberg exchange coupling, which are also confirmed by a more careful inspection of the experimental data. We propose that in the intermediate regime between the low-temperature scale T l and the higher one T h , the "rotonlike" excitations are activated with a strong chiral component and a large contribution to thermal entropies. Bearing remarkable resemblance to the renowned roton thermodynamics in liquid helium, these gapped excitations suppress the incipient 120 • order that emerges for temperatures below T l .The classical SLH and TLH models have a similar spin stiffness ρ s , and thus a similar constant, C ξ ∼ρ s , in the correlation length, ξ∼ exp ( C ξ T ), as well as in the static structure factor at the ordering wave vector, S(K)∼ exp ( [15] and C ξ =4πρ s =1.748 (TLH) [5,16,17] in units of spin coupling J. However, the constant C ξ is significantly renormalized by quantum fluctuations. For the SLH, the constant is reduced by about 30% to C ξ ∼1.13, arXiv:1811.01397v2 [cond-mat.str-el] 11 Apr 2019 * weichselbaum@bnl.gov † w.li@buaa.edu.cn [1] P. W. Anderson, "Resonating valence bonds: A new kind of

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Universal Berezinskii-Kosterlitz-Thouless dynamic scaling in the intermediate time range in frustrated Heisenberg antiferromagnets on a triangular lattice

Cited by 12 publications

References 50 publications

Non-equilibrium vortex annealing of structural disorder in Berezinskii-Kosterlitz-Thouless dynamics of two-dimensional XY-model

Non-equilibrium vortex annealing of structural disorder in Berezinskii-Kosterlitz-Thouless dynamics of two-dimensional XY-model

Non-equilibrium vortex annealing of structural disorder in Berezinskii-Kosterlitz-Thouless dynamics of the two-dimensional XY-model

Two-temperature scales in the triangular-lattice Heisenberg antiferromagnet

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