Reentrant behaviors in the phase diagram of spin-1 planar ferromagnets with easy-axis single-ion anisotropy via the Devlin two-time Green function framework

Mercaldo, Maria Teresa; Rabuffo, I.; Cesare, L. De; D'Auria, A. Caramico

doi:10.1016/j.jmmm.2017.05.012

Cited by 5 publications

(4 citation statements)

References 47 publications

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“…where for D < (J(0) + I(0))/2, quite similar to that of TXY model in absence of BQ interaction [26][27][28][29], [36], [40], [41]. For (J(0) + I(0))/2 < D < J(0) + I(0), one has J(0) + I(0) − 2D < 0 in Eq.…”

Section: The Anderson-callen Decoupling Frameworksupporting

confidence: 68%

“…In any case the easy-axis nature of the SIA is the responsible of the reentrances for values of D in the interval (J(0) + I(0))/2 < D < (J(0) + I(0)). Increasing D reduces the quantum critical In view of recent literature [27], [40], [41] and references therein, we speculate that our ACD analysis provides a reasonable physical scenario which may give useful insights on the structure of the phase diagram near magnetic-field-induced quantum criticality. Quantitative improvements could be obtained by employing Callen-like decouplings [35] in the exchange terms [42][43][44], allowing estimates of the correlation effect between the transverse components of spins on different sites.…”

Section: Conluding Remarkssupporting

confidence: 58%

“…The main results arising from the previous scheme indicate that, in presence of SIA: (i) for small BQE parameter the scenario appears quite similar to that already known when only the conventional bilinear exchange interaction is active [27], [40], [41]; (ii) increasing the BQE parameter tends to destroy the reentrant structure of the critical lines which occurs when the bilinear coupling is dominant.…”

Section: Conluding Remarkssupporting

confidence: 57%

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Effect of biquadratic exchange on the phase diagram of a spin-1 transverse XY model with single-ion anisotropy

Rabuffo

Cesare

D'Auria³

et al. 2019

Journal of Magnetism and Magnetic Materials

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The two-time Green function method is employed to explore the effect of the biquadratic exchange interaction on the phase diagram of a d-dimensional spin-1 transverse XY model with single-ion anisotropy close to the magnetic-field-induced quantum critical point. We work at level of the Anderson-Callen-decoupling-like framework for both easy-plane and easy-axis single-ion anisotropy. The structure of the phase diagram is analyzed with analytical estimates and numerical calculations by adopting Tyablikov-like decouplings for the exchange higher order Green functions in the equation of motion. For dominant bilinear short-range exchange interaction the structure of the phase diagram close to the quantum critical point remains qualitatively the same of that in absence of biquadratic interaction including reentrant critical lines. When the biquadratic exchange becomes increasingly dominant its role appears more effective and tends to reduce or destroy the reentrant character of the critical lines.

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Section: The Anderson-callen Decoupling Frameworksupporting

confidence: 68%

Section: Conluding Remarkssupporting

confidence: 58%

Section: Conluding Remarkssupporting

confidence: 57%

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Effect of biquadratic exchange on the phase diagram of a spin-1 transverse XY model with single-ion anisotropy

Rabuffo

Cesare

D'Auria³

et al. 2019

Journal of Magnetism and Magnetic Materials

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“…Theoretically, the magnetic properties of nanoparticles and nanotubes characterized by their quantum and surface boundary effects 7,8 have been widely investigated by the well-known methods of statistical and quantum physics including the effective field theory (EFT) 9,10 , Monte Carlo (MC) simulation 11 , the mean field theory (MFT) 12 , Green function formalism 13 and Bethe-Peierls approximation 14 . For instance, Y. Kocakaplan et al .…”

Section: Introductionmentioning

confidence: 99%

Magnetic properties of six-legged spin-1 nanotube in presence of a longitudinal applied field

Elmaddahi

Hafidi

2019

Sci Rep

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In this paper, we investigate the magnetic behavior of a single-walled hexagonal spin-1 Ising nanotube by using the effective field theory (EFT) with correlations and the differential operator technique (DOT). The system consists of six long legs distributed parallel to each other on a hexagonal basis. Within each chain, spin sites are regularly positioned and magnetically coupled through a J // exchange interaction along the chains and J⊥ between adjacent chains. Key equations of magnetization, susceptibility and critical temperatures are established, numerically resolved and carefully analyzed for some selected exchange couplings and various applied magnetic fields. In addition to the phase diagram, interesting phenomena are noted, particularly for opposite exchange interactions where magnetization plateaus and frustration are discovered.

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Reentrant behaviors in the phase diagram of spin-1 planar ferromagnet with single-ion anisotropy

Rabuffo

Cesare

D'Auria³

et al. 2018

Physica B: Condensed Matter

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Reentrant behaviors in the phase diagram of spin-1 planar ferromagnets with easy-axis single-ion anisotropy via the Devlin two-time Green function framework

Cited by 5 publications

References 47 publications

Effect of biquadratic exchange on the phase diagram of a spin-1 transverse XY model with single-ion anisotropy

Effect of biquadratic exchange on the phase diagram of a spin-1 transverse XY model with single-ion anisotropy

Magnetic properties of six-legged spin-1 nanotube in presence of a longitudinal applied field

Reentrant behaviors in the phase diagram of spin-1 planar ferromagnet with single-ion anisotropy

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