SPIN RESISTIVITY IN THE FRUSTRATED J<sub>1</sub> - J<sub>2</sub> MODEL

Hoang, Danh-Tai; Magnin, Yann; Diep, H. T.

doi:10.1142/s0217984911026644

Cited by 9 publications

(14 citation statements)

References 31 publications

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“…In antiferromagnets, such a peak is not sharp and often a broad maximum [33]. We have also studied the spin resistivity in two frustrated cases: the FCC Ising case [34] and the J 1 − J 2 simple cubic lattice [35]. The results show that the discontinuous transition in these systems gives rise to a discontinuity of the spin resistivity.…”

Section: Spin Transport In the Ising Casementioning

confidence: 97%

Hexagonal-close-packed lattice: Ground state and phase transition

Hoang

Diep

2012

Phys. Rev. E

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We study the ground state (GS) and the phase transition in a hexagonal-close-packed lattice with both XY and Ising models by using extensive Monte Carlo simulation. We suppose the in-plane interaction J1 and interplane interaction J2, both antiferromagnetic. The system is frustrated with two kinds of GS configuration below and above a critical value of η=J1/J2 (ηc). For the Ising case, one has ηc=0.5 which separates in-plane ferromagnetic and antiferromagnetic states, while for the XY case ηc=1/3 separates the collinear and noncollinear spin configurations. The phase transition is shown to be of first (second) order for η>(<)ηc. The phase diagram in the space (η,T) is shown for both cases.

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Section: Spin Transport In the Ising Casementioning

confidence: 97%

Hexagonal-close-packed lattice: Ground state and phase transition

Hoang

Diep

2012

Phys. Rev. E

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“…The system is very unstable due to its large degeneracy. We nd that the case of the Ising spin shows an even stronger rst-order transition [27]. It is interesting to note that the resistivity of itinerant spins in systems with a rst-order transition undergoes a discontinuity at T C just as the system energy and the order parameter.…”

Section: Frustrated Systemsmentioning

confidence: 69%

Spin Resistivity in Magnetic Materials

2012

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We show in this paper recent results on the spin resistivity in magnetically ordered materials obtained by Monte Carlo simulations. We discuss its behavior as a function of temperature in various types of crystal: ferromagnetic, antiferromagnetic, and frustrated spin systems. In the model used for simulations, we take into account the interaction between itinerant spins and that between lattice spins and itinerant spins. We also include a chemical potential term, as well as an electric eld. We study in particular the behavior of the spin resistivity at and near the magnetic phase transition where the eect of the magnetic ordering is strongest. In ferromagnetic crystals, the spin resistivity shows a sharp peak very similar to the magnetic susceptibility. This can be understood if one relates the spin resistivity to the spinspin correlation as suggested in a number of theories. The dependence of the shape of the peak on physical parameters such as carrier concentration, magnetic eld strength, relaxation time etc. is discussed. In antiferromagnets, the peak is not so pronounced and in some cases it is absent. Its direct relationship to the spinspin correlation is not obvious. As for frustrated spin systems with strong rst-order transition, the spin resistivity shows a discontinuity at the phase transition. To show the eciency of the simulation method, we compare our results with recent experimental data performed on semiconducting MnTe of NiAs structure. We observe a very good agreement with experiments on the spin resistivity in the whole range of temperature.

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“…Before introducing the DM interface interaction, let us emphasize that the bulk J 1 − J 2 model on the simple cubic lattice has been studied with Heisenberg spins [74] and the Ising model [75], where J 1 and J 2 are both antiferromagnetic (< 0). The critical value |J c 2 | = 0.25|J 1 |; above this, the bipartite antiferromagnetic ordering changes into a frustrated ordering, where a line of spins up is surrounded by its neighboring lines of spins down.…”

Section: Modelmentioning

confidence: 99%

Skyrmion Crystals and Phase Transitions in Magneto-Ferroelectric Superlattices: Dzyaloshinskii–Moriya Interaction in a Frustrated J1 − J2 Model

Sharafullin

Diep

2019

Symmetry

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The formation of a skyrmion crystal and its phase transition are studied, taking into account the Dzyaloshinskii-Moriya (DM) interaction at the interface between a ferroelectric layer and a magnetic layer in a superlattice. Frustration is introduced in both magnetic and ferroelectric films. The films have a simple cubic lattice structure. The spins inside the magnetic layers are Heisenberg spins interacting with each other via nearest-neighbor (NN) exchange J m and next-nearest-neighbor (NNN) exchange J 2m . The polarizations in the ferroelectric layers are assumed to be of Ising type with NN and NNN interactions J f and J 2 f . At the magnetoelectric interface, a DM interaction J m f between spins and polarizations is supposed. The spin configuration in the ground state is calculated by the steepest descent method. In an applied magnetic field H perpendicular to the layers, we show that the formation of skyrmions at the magnetoelectric interface is strongly enhanced by the frustration brought about by the NNN antiferromagnetic interactions J 2m and J 2 f . Various physical quantities at finite temperatures are obtained by Monte Carlo simulations. We show the critical temperature, the order parameters of magnetic and ferroelectric layers as functions of the interface DM coupling, the applied magnetic field, and J 2m and J 2 f . The phase transition to the disordered phase is studied in detail.

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SPIN RESISTIVITY IN THE FRUSTRATED J₁ - J₂ MODEL

Cited by 9 publications

References 31 publications

Hexagonal-close-packed lattice: Ground state and phase transition

Hexagonal-close-packed lattice: Ground state and phase transition

Spin Resistivity in Magnetic Materials

Skyrmion Crystals and Phase Transitions in Magneto-Ferroelectric Superlattices: Dzyaloshinskii–Moriya Interaction in a Frustrated J1 − J2 Model

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SPIN RESISTIVITY IN THE FRUSTRATED J1 - J2 MODEL

Cited by 9 publications

References 31 publications

Hexagonal-close-packed lattice: Ground state and phase transition

Hexagonal-close-packed lattice: Ground state and phase transition

Spin Resistivity in Magnetic Materials

Skyrmion Crystals and Phase Transitions in Magneto-Ferroelectric Superlattices: Dzyaloshinskii–Moriya Interaction in a Frustrated J1 − J2 Model

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SPIN RESISTIVITY IN THE FRUSTRATED J₁ - J₂ MODEL