Magnetic Field Effects in Low-Dimensional Quantum Magnets

Iaizzi, Adam

doi:10.1007/978-3-030-01803-0

Cited by 5 publications

(11 citation statements)

References 100 publications

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“…In any case, Monte Carlo is a common technique and it is interesting to understand Monte Carlo dynamics in their own right. The breakdown of ergodicity we will describe here represents a simple way to understand non-ergodic behavior that occurs in more complicated Monte Carlo methods [18,[23][24][25] where the underlying mechanisms are more difficult to understand.…”

Section: Markov Chain Monte Carlo (Mcmc or Simply Montementioning

confidence: 99%

Field-induced freezing in the unfrustrated Ising antiferromagnet

Iaizzi

2020

Preprint

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We study instantaneous quenches to finite temperature in the two-dimensional square lattice Ising antiferromagnet in the presence of a longitudinal external field. Under single spin flip Metropolis algorithm dynamics, this protocol produces a pair of magnetization plateaus that prevent the system from reaching the equilibrium ground state except for some special values of the field. We explain the plateaus in terms of stable local configurations.

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Section: Markov Chain Monte Carlo (Mcmc or Simply Montementioning

confidence: 99%

Field-induced freezing in the unfrustrated Ising antiferromagnet

Iaizzi

2020

Preprint

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“…Whether or not spinons remain deconfined along the extended quantum critical line of the Néel, VBS, and BEC intersection is still an open question, and warrants future non-perturbative studies. Combining our results with the previously-studied zerofield [25] and high-field [31,32] cases, we were still unable to include even a schematic of the full T -j-h phase diagram, in part because large system sizes (requiring long simulations) are needed to correctly extract the phase boundaries. This topic merits further exploration both numerically and theoretically.…”

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“…We determine T BEC (h) using the spin stiffness (ρ s ), which measures the energy cost of a long-range twist about the S z axis [26,32]. We show finite size scaling of ρ s (T, h) near the DQC point in Fig.…”

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confidence: 99%

“…These techniques are described in a detailed manner for the specific model considered here in Ref. 32.…”

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“…In terms of the spin lattice model [Eq. ( 1)] the transition between quasi-BEC and gas is analogous to the Berezinkii-Kosterlitz-Thouless (BKT) transition in the 2D classical XY model [33], since the external field explicitly breaks the full SU(2) rotational symmetry of the spins to in-plane 'XY' symmetry [32,[34][35][36][37][38]. The J-Q model under applied field is related to the anisotropic J-Q model; hosting the same rotational symmetries, but lacking particle-hole symmetry.…”

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Bose-Einstein condensation of deconfined spinons in two dimensions

et al. 2020

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The transition between the Néel antiferromagnet and the valence-bond solid state in two dimensions has become a paradigmatic example of deconfined quantum criticality, a non-Landau transition characterized by fractionalized excitations (spinons). We consider an extension of this scenario whereby the deconfined spinons are subject to a magnetic field. The primary purpose is to identify the exotic scenario of a Bose-Einstein condensate of spinons. We employ quantum Monte Carlo simulations of the J-Q model with a magnetic field and perform a quantum field theoretic analysis of the magnetic field and temperature dependence of thermodynamic quantities. The combined analysis provides compelling evidence for the Bose-Einstein condensation of spinons and also demonstrates an extended temperature regime in which the system is best described as gas of spinons interacting with an emergent gauge field. arXiv:1909.01594v1 [cond-mat.str-el]

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Metamagnetism and zero-scale-factor universality in the two-dimensionalJ−Qmodel

2018

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Using a combination of quantum Monte Carlo and exact methods, we study the field-driven saturation transition of the two-dimensional J-Q model, in which the antiferromagnetic Heisenberg exchange (J) coupling competes with an additional four-spin interaction (Q) that favors valencebond solid order. For small values of Q, the saturation transition is continuous, and is expected to be governed by zero-scale-factor universality at its upper critical dimension, with a specific form of logarithmic corrections to scaling (first proposed by Sachdev et al. [Phys. Rev. B 50, 258 (1994)]). Our results conform to this expectation, but the logarithmic corrections to scaling do not match the form predicted by Sachdev et al. We also show that the saturation transition becomes first order above a critical coupling ratio (Q/J)min and is accompanied by magnetization jumpsmetamagnetism. We obtain an exact solution for (Q/J)min using a high magnetization expansion, and confirm the existence of the magnetization jumps beyond this value of coupling using quantum Monte Carlo simulations. arXiv:1804.06045v2 [cond-mat.str-el]

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Magnetic Field Effects in Low-Dimensional Quantum Magnets

Cited by 5 publications

References 100 publications

Field-induced freezing in the unfrustrated Ising antiferromagnet

Field-induced freezing in the unfrustrated Ising antiferromagnet

Bose-Einstein condensation of deconfined spinons in two dimensions

Metamagnetism and zero-scale-factor universality in the two-dimensionalJ−Qmodel

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