Bicritical or tetracritical: the 3D anisotropic Heisenberg antiferromagnet

Tsai, Shan-Ho; Hu, Siyan; Landau, D. P.

doi:10.1088/1742-6596/487/1/012005

Cited by 4 publications

(2 citation statements)

References 26 publications

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“…Subsequently, a full renormalization group study of the flow equations at the multicritical point taking into account the the reversible terms concluded that in two-loop order the biconical fixed point becomes stable, whereas the Heisenberg fixed remains stable in a one-loop calculation [13]. In contrast, a series of detailed Monte Carlo simulations analyzing order parameter susceptibilities, the Binder cumulant, and associated probability distributions provided concrete evidence that the nature of the multicritical point is in fact bicritical with Heisenberg symmetry [15,16].…”

Section: Introductionmentioning

confidence: 99%

Critical Dynamics of Anisotropic Antiferromagnets in an External Field

Nandi,

Täuber

2020

Preprint

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We numerically investigate the non-equilibrium critical dynamics in three-dimensional anisotropic antiferromagnets in the presence of an external magnetic field. The phase diagram of this system exhibits two critical lines that meet at a bicritical point. The non-conserved components of the staggered magnetization order parameter couple dynamically to the conserved component of the magnetization density along the direction of the external field. Employing a hybrid computational algorithm that combines reversible spin precession with relaxational Monte Carlo updates, we study the aging scaling dynamics for the model C critical line, identifying the critical initial slip, autocorrelation, and aging exponents for both the order parameter and conserved field, thus also verifying the dynamic critical exponent. We further probe the model F critical line by investigating the system size dependence of the characteristic spin wave frequencies near criticality, and measure the dynamic critical exponents for the order parameter including its aging scaling at the bicritical point.

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Section: Introductionmentioning

confidence: 99%

Critical Dynamics of Anisotropic Antiferromagnets in an External Field

Nandi,

Täuber

2020

Preprint

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“…In particular, it has been recently shown [4] that the multicritical point of the three-dimensional XXZ antiferromagnetic model on a cubic lattice in an external field is, in fact, despite previous debates, a bicritical point whose universality class is the same as the three-dimensional Heisenberg model. On the other hand, Andrade et al [2] have located the bicritical point on the three-dimensional anisotropic Heisenberg model in a crystal field corroborating our previous preliminary location at (D,T) = [3.95(4), 1.73 (3)] [3], where D is the crystal field in units of the exchange interaction and T is the temperature in units of the ratio of the exchange interaction and the Boltzmann constant.…”

Section: Introductionmentioning

confidence: 99%

Bicritical universality of the anisotropic Heisenberg model in a crystal field

Freire

Plascak

2015

Phys. Rev. E

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The bicritical properties of the three-dimensional classical anisotropic Heisenberg model in a crystal field are investigated through extensive Monte Carlo simulations on a simple cubic lattice, using Metropolis and Wolff algorithms. Field-mixing and multidimensional histogram techniques were employed in order to compute the probability distribution function of the extensive conjugate variables of interest and, using finite-size scaling analysis, the first-order transition line of the model was precisely located. The fourth-order cumulant of the order parameter was then calculated along this line and the bicritical point located with good precision from the cumulant crossings. The bicritical properties of this point were further investigated through the measurement of the universal probability distribution function of the order parameter. The results lead us to conclude that the studied bicritical point belongs in fact to the three-dimensional Heisenberg universality class.

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Spin-flop process identified in heteroepitaxial rare-earth films of Er and Ho

Xiao,

Zhao,

Cui

et al. 2024

Applied Physics Letters

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Bulk-like heteroepitaxial Er, Ho, and Tb films were grown on alumina substrates. They show reduced magnetization that can be related to oscillation of moments returning an average magnetization due to the usual existence of conical, helical (cycloidal), and/or helifan phases along the temperature scale. Interestingly, below 20 K and at finite field values, the temperature of the conical phase in Er and Ho, we find the existence of various spin-flop processes due to the dominating degenerate bidirectional fluctuations arising from competing anisotropies within the conical phase. Plateaus in the magnetometric loops are identified as fingerprints of spin-flops in periodically arranged blocks of moments, which deviate from conventional spin-flop behavior in generic low-anisotropy antiferromagnets. Such spin-flops are manifestations of moments that are arranged in a pattern, comprising alternate blocks of regularly spaced members commensurate with the lattice. With a larger conical angle in Ho as compared to Er, the spin-flops occur more frequently, which provides an insight into how magnetic anisotropy can be manifested in rare-earth metals in realizing magnetic sub-states. By tailoring the conical structure, one can in principle regulate the magnetic sub-states in the future for applications.

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Bicritical or tetracritical: the 3D anisotropic Heisenberg antiferromagnet

Cited by 4 publications

References 26 publications

Critical Dynamics of Anisotropic Antiferromagnets in an External Field

Critical Dynamics of Anisotropic Antiferromagnets in an External Field

Bicritical universality of the anisotropic Heisenberg model in a crystal field

Spin-flop process identified in heteroepitaxial rare-earth films of Er and Ho

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