Phase transitions in the antiferromagnetic<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>XY</mml:mi></mml:math>model with a<i>kagomé</i>lattice

Korshunov, S. E.

doi:10.1103/physrevb.65.054416

Cited by 36 publications

(11 citation statements)

References 56 publications

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“…Generalizing the spins towards XY degrees of freedom, the isolated fractons remain qualitatively unchanged. However, the increased configurational space enables the existence of vortices with fractional vorticity, known from other classical XY kagome models [63,64]. Our Monte Carlo simulations reveal thermally excited patterns of fractons and fractional vortices whose positions are strongly correlated among each other.…”

Section: Introductionmentioning

confidence: 75%

“…Interestingly, however, one also finds kinks in the domain walls enclosing angles of π/3 or 2π/3 (blue stars) which are forbidden in a three color model. We argue in the following, that these spin configurations are fractional vortices known from classical nearest neighbor XY kagome antiferromagnets [45,63,64].…”

Section: Internal Energy Specific Heat and Low Temperature Spin Confi...mentioning

confidence: 92%

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Fracton excitations in classical frustrated kagome spin models

Hering,

Yan,

Reuther

2020

Preprint

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Fractons are topological quasiparticles with limited mobility. While there exists a variety of models hosting these excitations, typical fracton systems require rather complicated many-particle interactions. Here, we discuss fracton behavior in the more common physical setting of classical kagome spin models with frustrated two-body interactions only. We investigate systems with different types of elementary spin degrees of freedom (three-state Potts, XY, and Heisenberg spins) which all exhibit characteristic subsystem symmetries and fracton-like excitations. The mobility constraints of isolated fractons and bound fracton pairs in the three-state Potts model are, however, strikingly different compared to the known type-I or type-II fracton models. One may still explain these properties in terms of type-I fracton behavior and construct an effective low-energy tensor gauge theory when considering the system as a 2D cut of a 3D cubic lattice model. Our extensive classical Monte-Carlo simulations further indicate a crossover into a low temperature glassy phase where the system gets trapped in metastable fracton states. Moving on to XY spins, we find that in addition to fractons the system hosts fractional vortex excitations. As a result of the restricted mobility of both types of defects, our classical Monte-Carlo simulations do not indicate a Kosterlitz-Thouless transition but again show a crossover into a glassy low-temperature regime. Finally, the energy barriers associated with fractons vanish in the case of Heisenberg spins, such that defect states may continuously decay into a ground state. These decays, however, exhibit a power-law relaxation behavior which leads to slow equilibration dynamics at low temperatures.

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Section: Introductionmentioning

confidence: 75%

Section: Internal Energy Specific Heat and Low Temperature Spin Confi...mentioning

confidence: 92%

Fracton excitations in classical frustrated kagome spin models

Hering,

Yan,

Reuther

2020

Preprint

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“…A recent simulation on a large size AFM triangular lattice predicted that a "spin order" occurs on the basis of chiral order at T s (∼ 0.9T c ), which belongs to a different universality class of the KT phase [38]. A simulation on the 2D AFM XY model for a "regular" kagome lattice suggests the appearance of both chiral and KT phases [39].…”

Section: Discussionmentioning

confidence: 96%

Low-temperature properties of theS=12spin systemYb3Ru4Al12with a distorted ka

et al. 2015

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We have synthesized single crystals of ternary intermetallic Yb 3 Ru 4 Al 12 with a distorted kagome lattice structure, and investigated the low-temperature resistivity, specific heat, magnetization, and magnetic phase transitions. Yb 3 Ru 4 Al 12 is the first 4f system that has a Gd 3 Ru 4 Al 12 -type crystal structure where antiferromagnetic interaction acts on the spin. The crystal electric field (CEF) ground state of this compound is determined as a well isolated twofold degenerate state that is subjected to a strong easy-plane-type magnetic anisotropy. In the present study, the spin system of Yb 3 Ru 4 Al 12 is regarded as an AFM XY model of S = 1/2. This compound undergoes successive magnetic phase transitions at 1.5 and 1.6 K, and the resistivity exhibits T 2 behavior below 1 K. The ratio of the coefficient of the T 2 term in the resistivity A, and that of the electronic specific heat coefficient γ 0 , deviates from the Kadowaki-Woods (KW) law. The successive phase transitions and low-temperature properties of Yb 3 Ru 4 Al 12 where geometrical frustration and heavy fermion behavior occur are discussed.

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“…The ice rule provides an exact mapping of the discrete states onto two-component height vectors h(r) living on the dual lattice. 27,30,33 For instance, the six √ 3 × √ 3 states map onto flat interfaces. At T = 0, the simplest action compatible with the symmetries is a sine-Gordon model,…”

mentioning

confidence: 99%

“…27,30,33 Classical minima of Eq. (7) correspond to the "flat" √ 3 × √ 3 Néel states, with zero-point oscillations described by the two "gluon" modes ω q = (c 2 q 2 + 2 ) 1/2 .…”

mentioning

confidence: 99%

Resonating color state and emergent chromodynamics in the kagome antiferromagnet

Cepas

Ralko

2011

Phys. Rev. B

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4 pages, 4 figuresInternational audienceWe argue that the spin-wave breakdown in the Heisenberg kagome antiferromagnet signals an instability of the ground state and leads, through an emergent local constraint, to a quantum dynamics described by a gauge theory similar to that of chromodynamics. For integer spins, we show that the quantum fluctuations of the gauge modes select the sqrt(3)xsqrt(3) Neel state with an on-site moment renormalized by color resonances. We find non-magnetic low-energy excitations that may be responsible for a deconfinement "transition" at experimentally accessible temperatures which we estimate

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Phase transitions in the antiferromagneticXYmodel with akagomélattice

Cited by 36 publications

References 56 publications

Fracton excitations in classical frustrated kagome spin models

Fracton excitations in classical frustrated kagome spin models

Low-temperature properties of theS=12spin systemYb3Ru4Al12with a distorted ka

Resonating color state and emergent chromodynamics in the kagome antiferromagnet

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