Lyddane-Sachs-Teller relationship in linear magnetoelectrics

Details Lyddane-Sachs-Teller relationship in linear magnetoelectrics Lyddane-Sachs-Teller relationship in linear magnetoelectrics

2010-07-23

arxiv.org/abs/1007.4186v3

Physics

Condensed Matter

Materials Science

4 pages, no figure

Scientific paper

10.1103/PhysRevLett.106.047202

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.

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