Chimera order in spin systems
The Institute of Mathematical Sciences, CIT Campus - Taramani, Chennai 600113, India
2 Department of Physics, University of Calcutta - 92 Acharya Prafulla Chandra Road, Kolkata 700009, India
Accepted: 20 May 2011
It has recently been shown that a population of oscillators having identical environments can exhibit a heterogeneous phase topology termed as chimera state. We extend this phenomenon to the broader perspective of order-disorder transitions in physical systems with discrete states. By an exact analytic treatment we show that chimera states can occur in a system of Ising spins in thermal equilibrium. We also numerically establish the existence of chimera ordering in 3-dimensional models of layered magnetic materials (such as manganites) suggesting possible means of experimentally observing it.
PACS: 05.45.-a – Nonlinear dynamics and chaos / 05.50.+q – Lattice theory and statistics (Ising, Potts, etc.) / 64.60.Cn – Order-disorder transformations
© EPLA, 2011