Cell dynamics simulations of coupled charge and magnetic phase transformation in correlated oxides

Abstract

We present a comprehensive numerical study on the kinetics of phase transition that is characterized by two non-conserved scalar order parameters coupled by a special linear-quadratic interaction. This particular Ginzburg-Landau theory has been proposed to describe the coupled charge- and magnetic transition in nickelates and the collinear stripe phase in cuprates. The inhomogeneous state of such systems at low temperatures consists of magnetic domains separated by quasi-metallic domain-walls where the charge-order is reduced. By performing large-scale cell dynamics simulations, we find a two-stage phase-ordering process in which a short period of independent evolution of the two order parameters is followed by a correlated coarsening process. The long-time growth and coarsening of magnetic domains is shown to follow the Allen-Cahn power law. We further show that the nucleation-and-growth dynamics during phase transformation to the ordered states is well described by the Kolmogorov-Johnson-Mehl-Avrami theory in two dimensions. On the other hand, the presence of quasi-metallic magnetic domain walls in the ordered states gives rise to a very different kinetics for phase transition to the high temperature paramagnetic phase. In this new scenario, the phase transformation is initiated by the decay of magnetic domain walls into two insulator-metal boundaries, which subsequently move away from each other. Implications of our findings to recent nano-imaging experiments on nickelates are also discussed.

arXiv comment14 pages, 14 figures

References in corpus (21)

• Mott transition in VO2 revealed by infrared spectroscopy and nano-imaging
• Universality and Critical Behavior at the Mott transition
• Avalanches, Barkhausen Noise, and Plain Old Criticality
• Landau Theory of Stripe Phases in Cuprates and Nickelates
• A Microscopic View on the Mott transition in Chromium-doped V2O3
• Landau Theory of Domain Wall Magnetoelectricity
• Landau theory of charge and spin ordering in the nickelates
• Striped nanoscale phase separation at the metal-insulator transition of heteroepitaxial nickelates
• Mechanism and Control Parameters of the Coupled Structural and Metal-Insulator Transition in Nickelates
• Random Field Driven Spatial Complexity at the Mott Transition in VO2
• Universality of liquid-gas Mott transitions at finite temperatures
• Disentangling lattice and electronic contributions to the metal-insulator transition from bulk vs. layer confined RNiO${}_3$
• Scale-invariant magnetic textures in the strongly correlated oxide NdNiO${}_3$
• Critical Slowing Down at the Abrupt Mott Transition: When the First-Order Phase Transition Becomes Zeroth-Order and Looks Like Second-Order
• Kinetic Spinodal Instabilities in the Mott Transition in V2O3: Evidence from Hysteresis Scaling and Dissipative Phase Ordering
• Direct numerical simulation of homogeneous nucleation and growth in a phase-field model using cell dynamics method
• Finite-temperature Gutzwiller approximation and the phase diagram of a toy-model for V2O3
• Late stages of coarsening in model C
• Cell dynamics approach to the formation of metastable phases during phase transformation
• Universality of Domain Growth in Antiferromagnets with Spin-Exchange Kinetics
• Kinetics of thermal Mott transitions in the Hubbard model

Cited by in corpus (2)

• Topological defect formation in a phase transition with tunable order
• Landau theory of the density wave transition in trilayer Ruddlesden-Popper nickelates