Sum rule for the optical Hall angle

Abstract

We consider the optical Hall conductivity of a general electronic medium and prove that the optical Hall angle obeys a new sum rule. This sum rule governs the response of an electronic fluid to a Lorentz electric field and can thought of as the transverse counterpart to the f-sum rule in optical conductivity. The physical meaning of this sum rule is discussed, giving a number of examples of its application to a variety of of electronic media.

Four pages. Latex file with two postscript figures

References in corpus (1)

• Measurement of the Far Infrared Magneto-Conductivity Tensor of Superconducting YBa${}_2$Cu${}_3$O${}_{7-\delta }$ Thin Films

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