Phase diagrams of a two-dimensional Heisenberg antiferromagnet with single-ion anisotropy

Costa, B. V.; Pires, A.S.T.

doi:10.1016/s0304-8853(02)01527-5

Cited by 35 publications

(32 citation statements)

References 21 publications

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“…Much work has been done on two-or three-dimensional Heisenberg models submitted to exchange or crystalline anisotropies [1][2][3][4][5]. However, as far as we know, much less work has been performed concerning the Heisenberg model submitted to both exchange and crystalline anisotropies.…”

Section: Introductionmentioning

confidence: 99%

Monte Carlo study of the anisotropic three-dimensional Heisenberg model in a crystal field

Freire¹,

Plascak²,

Costa³

2004

Braz. J. Phys.

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We study the phase diagram of the three-dimensional classical ferromagnetic Heisenberg model with an easyplane crystalline anisotropy and an easy-axis exchange anisotropy through Monte Carlo simulations. We employ the Metropolis algorithm together with single-histogram techniques in order to characterize the transitions in each region of the phase diagram. Our results reveal, besides the disordered phase, the existence of Ising-like and XY-like ordered phases which are separated by a first-order transition line.

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Section: Introductionmentioning

confidence: 99%

Monte Carlo study of the anisotropic three-dimensional Heisenberg model in a crystal field

Freire¹,

Plascak²,

Costa³

2004

Braz. J. Phys.

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“…We leave this daunting task to more experienced Monte Carlo simulators, but mention that the numbers that we have deduced are in the right ballpark. For instance, Costa and Pires showed [17] that for the square lattice T N /T M F ≈ 0.8(D/J) 0.2 . For three neighbors, the mean field transition temperature T M F ≈ JM 2 ≈ 1600 K, which together with DM 2 ≈ 1.4 meV results in T N ∼ 500 K. On the other hand, for the cubic quasi-2D model with J ⊥ = 0, D = 0, Yasuda et al [18] found that…”

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confidence: 99%

Localized itinerant electrons and unique magnetic properties ofSrRu2O6

Streltsov¹,

Mazin²,

Foyevtsova³

2015

Phys. Rev. B

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SrRu2O6 has unique magnetic properties. It is characterized by a very high Néel temperature, despite its quasi-two-dimensional structure, and has a magnetic moment more than twice reduced compared to the formal ionic count. First principles calculations show that only an ideal Néel ordering in the Ru plane is possible, with no other metastable magnetic solutions, and, highly unusually, yield dielectric gaps for both antiferromagnetic and nonmagnetic states. We demonstrate that this strange behavior is the result of the formation of very specific electronic objects, recently suggested for a geometrically similar Na2IrO3 compound, whereby each electron is well localized on a particular Ru6 hexagon, and completely delocalized over the corresponding six Ru sites, thus making the compound both strongly localized and highly itinerant.

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“…As mentioned in the Introduction, the model has been studied in Refs. [12,13,14]. In the case of d = 1 dimension, the criticality (D-driven phase transition) was investigated in detail [19].…”

Section: Off-diagonal Novotny's Methodsmentioning

confidence: 99%

Numerical diagonalization analysis of the criticality of the(2+1)-dimensionalXYmodel: Off-diagonal Novotny’s method

Nishiyama

2008

Phys. Rev. E

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The criticality of the (2 + 1)-dimensional XY model is investigated with the numerical diagonalization method. So far, it has been considered that the diagonalization method would not be very suitable for analyzing the criticality in large dimensions (d ≥ 3); in fact, the tractable system size with the diagonalization method is severely restricted. In this paper, we employ Novotny's method, which enables us to treat a variety of system sizes N = 6, 8, . . . , 20 (N : the number of spins constituting a cluster). For that purpose, we develop an off-diagonal version of Novotny's method to adopt the off-diagonal (quantum-mechanical XY ) interaction. Moreover, in order to improve the finite-size-scaling behavior, we tune the coupling-constant parameters to a scale-invariant point.As a result, we estimate the critical indices as ν = 0.675(20) and γ/ν = 1.97(10).

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Phase diagrams of a two-dimensional Heisenberg antiferromagnet with single-ion anisotropy

Cited by 35 publications

References 21 publications

Monte Carlo study of the anisotropic three-dimensional Heisenberg model in a crystal field

Monte Carlo study of the anisotropic three-dimensional Heisenberg model in a crystal field

Localized itinerant electrons and unique magnetic properties ofSrRu2O6

Numerical diagonalization analysis of the criticality of the(2+1)-dimensionalXYmodel: Off-diagonal Novotny’s method

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