Magneto-Electric Effect in a Spin-State Transition System
Makoto Naka, Eriko Mizoguchi, Joji Nasu, Sumio Ishihara

TL;DR
This paper investigates the magnetoelectric properties of a spin-state transition system, modeling the coupling between spin states and lattice distortions, and predicts magnetic-field induced polarization near phase boundaries.
Contribution
It introduces a new effective Hamiltonian model linking spin-state transitions with ferroelectric distortions, explaining experimental phase diagrams and predicting novel magnetoelectric effects.
Findings
Phase transition from low-spin to high-spin ferroelectric state
Model reproduces experimental pressure-temperature phase diagram
Prediction of magnetic-field induced electric polarization
Abstract
Magnetic, dielectric, and magnetoelectric properties in a spin-state transition system are examined, motivated by the recent discovery of a multiferroic behavior in a cobalt oxide. We construct an effective model Hamiltonian based on the two-orbital Hubbard model, in which the spin-state degrees of freedom in magnetic ions couple with ferroelectric-type lattice distortions. A phase transition occurs from the high-temperature low-spin phase to the low-temperature high-spin ferroelectric phase with accompanying an increase of the spin entropy. The calculated results are consistent with the experimental pressure-temperature phase diagram. We predict the magnetic-field induced electric polarization in the low-spin paraelectric phase near the ferroelectric phase boundary.
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