Phase diagram of the 3D quantum anisotropic XY model—A quantum Monte Carlo calculation

Guimarães, Marcos H. D.; Costa, B. V.; Pires, A.S.T.; Souza, André M. C.

doi:10.1016/j.jmmm.2012.12.012

Cited by 10 publications

(5 citation statements)

References 27 publications

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“…Besides, the quantum spin-1 XY model with an Contents lists available at ScienceDirect journal homepage: www.elsevier.com/locate/jmmm easy-plane SIA, but in absence of a longitudinal magnetic field, has recently attracted a renewed theoretical attention by employing different approximate theories and numerical techniques [11][12][13][14][15][16][17]. This is a sufficiently simple planar quantum spin model for which the physics of its crystal-field-induced QPT can be understood, at least qualitatively, in one, two and three dimensions.…”

Section: Introductionmentioning

confidence: 99%

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Quantum critical scenario in a three-dimensional XY model with an easy-plane single-ion anisotropy via a renormalization group analysis

Rabuffo

D'Auria²,

Cesare

et al. 2015

Journal of Magnetism and Magnetic Materials

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Section: Introductionmentioning

confidence: 99%

“…More recently, the QPT static and dynamic properties of a three-dimensional XY model with easy-plane SIA were explored analytically [14] and numerically on the ground of a quantum Monte Carlo calculation [17]. In Ref.…”

Section: Introductionmentioning

confidence: 99%

Quantum critical scenario in a three-dimensional XY model with an easy-plane single-ion anisotropy via a renormalization group analysis

Rabuffo

D'Auria²,

Cesare

et al. 2015

Journal of Magnetism and Magnetic Materials

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“…Interest to the S = 1 spin models [1,2,3,4,5] is associated with both the description of strongly anisotropic magnets based on Ni 2+ (conventional spin S = 1), in particular [Ni(HF 2 )(3-Clpy) 4 ]BF 4 [6,7] and NiCl 2 •4SC(NH 2 ) 2 [8], and the description of "semi-hard-core" bosons [9] or mixed-valence systems such as the system of charge "triplets" Cu 1+, 2+, 3+ in cuprates or Bi 3+,4+,5+ in bismuthates [10,11,12,13,14].…”

Section: Introductionmentioning

confidence: 99%

Superconductivity in model cuprate as an S=1 pseudomagnon condensation

Vasinovich,

Moskvin,

Panov

2018

Preprint

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We make use of the S = 1 pseudospin formalism to describe the charge degree of freedom in a model high-T c cuprate with the on-site Hilbert space reduced to the three effective valence centers, nominally Cu 1+, 2+, 3+ . Starting with a parent cuprate as an analogue of the quantum paramagnet ground state and using the Schwinger boson technique we found the pseudospin spectrum and conditions for the pseudomagnon condensation with phase transition to a superconducting state.

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“…The vortex glass transition was found [18] is three dimensional XY model by Monte Carlo simulation. Recently, the quantum phase transition was found [19] in quantum XY model. The results of the critical properties of frustrated quasi two dimensional XY like antiferromagnet were reported [20].…”

Section: Introductionmentioning

confidence: 99%

Driven spin wave modes in XY ferromagnet: non-equilibrium phase transition

Acharyya

2018

Phase Transitions

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The dynamical responses of XY ferromagnet driven by linearly polarised propagating and standing magnetic field wave have been studied by Monte Carlo simulation in three dimensions. In the case of propagating magnetic field wave (with specified amplitude, frequency and the wavelength), the low temperature dynamical mode is a propagating spin wave and the system becomes structureless (or random) in the high temperature. A dynamical symmetry breaking phase transition is observed at a finite (nonzero) temperature. This symmetry breaking is confirmed by studying the statistical distribution of the angle of the spin vector. The dynamic nonequilibrium transition temperature was found to decrease as the amplitude of the propagating magnetic field wave increased. A comprehensive phase boundary is drawn in the plane formed by temperature and amplitude of propagating field wave. The phase boundary was observed to shrink (in the low temperature side) for longer wavelength of the propagating magnetic wave. In the case of standing magnetic field wave, the low temperature excitation is a standing spin wave which becomes structureless (or random) in the high temperature. Here also, like the case of propagating magnetic wave, a dynamical symmetry breaking nonequilibrium phase transition was observed. A comprehensive phase boundary was drawn. Unlike the case of propagating magnetic wave, the phase boundary does not show any systematic variation with the wavelength of the standing magnetic field wave. In the limit of vanishingly small amplitude of the field, the phase boundaries approach the recent Monte Carlo estimate of equilibrium transition temperature. I. Introduction:The nonequilibrium responses of Ising ferromagnet to an oscillating (in time but uniform over the space) magnetic field is an interesting field of modern research [1,2]. The nonequilibrium phase transition is one major focus of the investigation. Some important studies may be reported below. The existence of the growth of correlation near the transition was reported [3]. The bulk and surface critical behaviours were studied recently[4] and those are found to belong to different universality class. The anomalous metamagnetic fluctuations near the transition were studied recently [5]. This study was supported by Monte Carlo simulation [6]. Experimentally, a notable transient behaviour was found [7], in the uniaxial cobalt film, for the time period of the field which is faster than a critical time. This is related to the the existence of first order transition. All these studies, mentioned above, are signatures of the current interest in the field of nonequilibrium responses of ferromagnets driven by time varying external magnetic field.One common and important feature of the above mentioned studies, is the time dependence of the external magnetic field, which keeps the system far away from the equilibrium. However, recently the interests have been taken in the case, where the driving magnetic field has both spatial and temporal variations. This spatio-temporal vari...

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Phase diagram of the 3D quantum anisotropic XY model—A quantum Monte Carlo calculation

Cited by 10 publications

References 27 publications

Quantum critical scenario in a three-dimensional XY model with an easy-plane single-ion anisotropy via a renormalization group analysis

Quantum critical scenario in a three-dimensional XY model with an easy-plane single-ion anisotropy via a renormalization group analysis

Superconductivity in model cuprate as an S=1 pseudomagnon condensation

Driven spin wave modes in XY ferromagnet: non-equilibrium phase transition

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