Magnetooptical sum rules close to the Mott transition

Abstract

We derive new sum rules for the real and imaginary parts of the frequency-dependent Hall constant and Hall conductivity. As an example, we discuss their relevance to the doped Mott insulator that we describe within the dynamical mean-field theory of strongly correlated electron systems.

4 pages, 4 ps figures; accepted for publication in PRL

References in corpus (2)

• Phenomenological interpretations of the ac Hall effect in the normal state of YBa2Cu3O7
• Magnetotransport in the doped Mott insulator

Cited by in corpus (8)

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• Hall effect and inter-chain magneto-optical properties of coupled Luttinger liquids
• Magneto-optical evidence for a gapped Fermi surface in underdoped YBa2Cu3O6+x
• Transport functions for hypercubic and Bethe lattices
• The Hall Number, Optical Sum Rule and Carrier Density for the $t$-$t^{\prime }$-$J$ model