Critical properties of the frustrated quasi-two dimensional XY-like antiferromagnet

Lapa, R.S.; Pires, A.S.T.

doi:10.1016/j.jmmm.2012.09.006

Cited by 11 publications

(8 citation statements)

References 25 publications

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“…The model has been studied by several methods, e.g., molecular field approximation, spin-wave theories, exact numerical diagonalizations, nonlinear sigma model, quantum Monte Carlo, series expansions, variational methods, coupled cluster approach, self-consistent harmonic approximation, and generalized SU(3) Schwinger boson representation [15][16][17][18][19] . The spectrum of the spin Hamiltonian (37) in the absence of external magnetic field changes drastically as ∆ varies from very small to very large positive or negative values.…”

Section: Typical Simplified S=1 Spin Modelmentioning

confidence: 99%

“…This is a quadrupole state with no magnetic order, so that all linear order parameters vanish and only a quadrupole (spin- A strong "easy-axis" anisotropy for large negative ∆ ≤ ∆ IS c , ∆ IS c = 2(V nn /t nn −1) 19 , favors a spin ordering along z, the "easy axis", with the on-site S z = ±1 (Z-phase). The order parameter will be "Ising-like" and long-range (staggered) diagonal order will persist at finite temperature, up to a critical line T c (∆).…”

Section: Qp M Cmentioning

confidence: 99%

“…The phase diagram in the most interesting intermediate regime can change drastically, if we take into account frustrative effects of next-nearest neighbor couplings or different non-Heisenberg biquadratic interactions 19 . It should be noted that even for simple isotropic 2D-nnn antiferromagnetic Heisenberg model the classical ground state has a Néel order only when J 2 /J 1 < 1/2, where J 1 is the nearest-neighbor and J 2 the next-nearest neighbor interaction.…”

Section: Qp M Cmentioning

confidence: 99%

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Pseudospin S = 1 formalism and skyrmion-like excitations in the three-body constrained extended Bose–Hubbard model

Moskvin

2015

J. Exp. Theor. Phys.

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We have focused in the paper on the most prominent and intensively studied S=1 pseudospin formalism for extended bosonic Hubbard model (EHBM) with truncation of the on-site Hilbert space to the three lowest occupation states n = 0, 1, 2. The EHBM Hamiltonian is a paradigmatic model for the highly topical field of ultracold gases in optical lattices. Generalized non-Heisenberg effective pseudospin Hamiltonian does provide a deep link with boson system and physically clear description of "the myriad of phases" from uniform Mott insulating phases and density waves to two types of superfluids and supersolids. We argue that the 2D pseudospin system is prone to a topological phase separation and focus on several types of unconventional skyrmion-like topological structures in 2D boson systems, which have not been analysed till now. The structures are characterized by a complicated interplay of insulating and the two superfluid phases with a single boson and two-boson condensation, respectively.

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Section: Typical Simplified S=1 Spin Modelmentioning

confidence: 99%

Section: Qp M Cmentioning

confidence: 99%

Section: Qp M Cmentioning

confidence: 99%

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Pseudospin S = 1 formalism and skyrmion-like excitations in the three-body constrained extended Bose–Hubbard model

Moskvin

2015

J. Exp. Theor. Phys.

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“…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]. The magnetic properties of classical XY spin dimer in planar magnetic field were studied recently [21].…”

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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“…The frustrated Heisenberg model, sometimes called the J 1 − J 2 model, is a prototype model for several magnetic materials and is of considerable interest in the context of statistical physics 2, 3 . For another side, quantum phase transitions have been subject of intense research over the last decades 4,5 . It is well known that the long range order can be destroyed by frustration caused, for instance, by second neighbor interactions [6][7][8][9][10][11][12][13] .…”

Section: Introductionmentioning

confidence: 99%

Spin superconductivity in the frustrated two-dimensional antiferromagnet in the square lattice

Lima

2017

Journal of Magnetism and Magnetic Materials

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Critical properties of the frustrated quasi-two dimensional XY-like antiferromagnet

Cited by 11 publications

References 25 publications

Pseudospin S = 1 formalism and skyrmion-like excitations in the three-body constrained extended Bose–Hubbard model

Pseudospin S = 1 formalism and skyrmion-like excitations in the three-body constrained extended Bose–Hubbard model

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

Spin superconductivity in the frustrated two-dimensional antiferromagnet in the square lattice

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