Lyddane-Sachs-Teller relationship in linear magnetoelectrics

Abstract

In a linear magnetoelectric the lattice is coupled to electric and magnetic fields: both affect the longitudinal-transverse splitting of zone-center optical phonons on equal footing. A response matrix relates the macroscopic fields (D,B) to (E,H) at infrared frequencies. It is shown that the response matrices at frequencies 0 and \infty fulfill a generalized Lyddane-Sachs-Teller relationship. The rhs member of such relationship is expressed in terms of weighted averages over the longitudinal and transverse excitations of the medium, and assumes a simple form for an harmonic crystal.

4 pages, no figure

References in corpus (8)

• Magnetoelectric polarizability and axion electrodynamics in crystalline insulators
• Orbital magnetoelectric coupling in band insulators
• First-principles approach to lattice-mediated magnetoelectric effects
• Ab initio Evidence for Giant Magnetoelectric Responses Driven by Structural Softness
• Magnetoelectric response of multiferroic BiFeO3 and related materials
• Density Functional Theory of Polar Insulators
• Relativistic nature of a magnetoelectric modulus of Cr_2O_3-crystals: a new 4-dimensional pseudoscalar and its measurement
• Magnetoelectric Cr_2 O_3 and relativity theory

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• Zone-Center Dynamical Matrix in Magnetoelectrics
• Phonons and Hybrid Modes in the High and Low Temperature Far Infrared Dynamics of Hexagonal TmMnO3