Orbital Magnetization in Insulators: Bulk vs. Surface

Abstract

The orbital magnetic moment of a finite piece of matter is expressed in terms of the one-body density matrix as a simple trace. We address a macroscopic system, insulating in the bulk, and we show that its orbital moment is the sum of a bulk term and a surface term, both extensive. The latter only occurs when the transverse conductivity is nonzero and owes to conducting surface states. Simulations on a model Hamiltonian validate our theory.

References in corpus (6)

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• Dichroic f-sum rule and the orbital magnetization of crystals
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