6 Ja n 20 13 Orbital Magnetization as a Local Property
نویسنده
چکیده
The modern expressions for polarization P and orbital magnetization M are k-space integrals. But a genuine bulk property should also be expressible in r-space, as unambiguous function of the groundstate density matrix, “nearsighted” in insulators, independently of the boundary conditions—either periodic or open. While P—owing to its “quantum” indeterminacy—is not a bulk property in this sense, M is. We provide its r-space expression for any insulator, even with nonzero Chern invariant. Simulations on a model Hamiltonian validate our theory.
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