Critical Dynamics of Anisotropic Antiferromagnets in an External Field

Abstract

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.

arXiv comment9 pages, 8 figures

References in corpus (14)

• Critical exponents and equation of state of the three-dimensional Heisenberg universality class
• Multicritical phenomena in O(n_1)+O(n_2)-symmetric theories
• Six-loop $\epsilon$ expansion study of three-dimensional $n$-vector model with cubic anisotropy
• Nonequilibrium critical dynamics of the ferromagnetic Ising model with Kawasaki dynamics
• Non-equilibrium relaxation in a stochastic lattice Lotka-Volterra model
• Field theory of bi- and tetracritical points: Statics
• Finite-Size Effects on Critical Diffusion and Relaxation Towards Metastable Equilibrium
• Nonequilibrium critical dynamics of the relaxational models C and D
• Evidence for a bicritical point in the XXZ Heisenberg antiferromagnet on a simple cubic lattice
• Autocorrelation exponent of conserved spin systems in the scaling regime following a critical quench
• Field theory of bi- and tetracritical points: Relaxational dynamics
• Non-universal critical aging scaling in three-dimensional Heisenberg antiferromagnets
• Field theory of bicritical and tetracritical points. III. Relaxational dynamics including conservation of magnetization (Model C)
• Field theory of bicritical and tetracritical points. IV. Critical dynamics including reversible terms

Cited by in corpus (6)

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• Thermal critical dynamics from equilibrium quantum fluctuations
• Discrete Laplacian Thermostat for Spin Systems with Conserved Dynamics
• Critical Dynamics of the Antiferromagnetic $O(3)$ Nonlinear Sigma Model with Conserved Magnetization
• Short-time dynamics in phase-ordering kinetics