Ferrotoroidic Moment as a Quantum Geometric Phase

Abstract

We present a geometric characterization of the ferrotoroidic moment in terms of a set of Abelian Berry phases. We also introduce a fundamental complex quantity which provides an alternative way to calculate the ferrotoroidic moment and its moments, and is derived from a second order tensor. This geometric framework defines a natural computational approach for density functional and many-body theories.

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Cited by in corpus (14)

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• Multiferroicity, The coupling between magnetic and polarization
• Orbital magnetoelectric coupling in band insulators
• Theory of orbital magnetic quadrupole moment and magnetoelectric susceptibility
• Theory of spin magnetic quadrupole moment and temperature-gradient-induced magnetization
• First-principles calculation of the bulk magnetoelectric monopolization: Berry phase and Wannier function approaches
• Thermodynamics of Ferrotoroidic Materials: Toroidocaloric Effect
• Quantum phase diagram of the half filled Hubbard model with bond-charge interaction
• Topological invariants based on generalized position operators and application to the interacting Rice-Mele model
• Thermodynamic approach to electric quadrupole moments
• Toroidal moments as indicator for magneto-electric coupling: the case of BiFeO_3 versus FeTiO_3
• Chirality polarizations and spectral bulk-boundary correspondence
• Current-induced quasiparticle magnetic multipole moments
• Kondo effect in transport through Aharonov-Bohm and Aharonov-Casher interferometers