Chimera order in spin systems

Abstract

Homogeneous populations of oscillators have recently been shown to exhibit stable coexistence of coherent and incoherent regions. Generalizing the concept of chimera states to the context of order-disorder transition in systems at thermal equilibrium, we show analytically that such complex ordering can appear in a system of Ising spins, possibly the simplest physical system exhibiting this phenomenon. We also show numerically the existence of chimera ordering in 3-dimensional spin systems that model layered magnetic materials, suggesting possible means of experimentally observing such states.

5 pages, 3 figures

References in corpus (9)

• Statistical physics of social dynamics
• Solvable Model of Spiral Wave Chimeras
• Clustered chimera states in delay coupled oscillator systems
• Chimera states in heterogeneous networks
• Chimeras in networks of planar oscillators
• Bistable Chimera Attractors on a Triangular Network of Oscillator Populations
• Chimeras in a Network of Three Oscillator Populations with Varying Network Topology
• Modularity produces small-world networks with dynamical time-scale separation
• Phase of Ising spins on modular networks analogous to social polarization

Cited by in corpus (10)

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• Chimeras in SQUID Metamaterials
• Dynamical order, disorder and propagating defects in homogeneous system of relaxation oscillators
• Extreme variability in convergence to structural balance in frustrated dynamical systems
• Dynamics of two populations of phase oscillators with different frequency distributions
• Lateral inhibition provides a unifying framework for spatiotemporal pattern formation in media comprising relaxation oscillators
• Complex ordering in spin networks: Critical role of adaptation rate for dynamically evolving interactions
• Time crystal embodies chimeralike state in periodically driven quantum spin system
• Contact-mediated signaling enables disorder-driven transitions in cellular assemblies
• Emergence of Chimeras States in One-dimensional Ising model with Long-Range Diffusion