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EnglishThe 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 an unambiguous function of the ground-state 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 a nonzero Chern invariant. Simulations on a model Hamiltonian validate our theory.
| Titolo: | Orbital Magnetization as a Local Property |
| Autori: | |
| Data di pubblicazione: | 2013 |
| Rivista: | |
| Abstract: | 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 an unambiguous function of the ground-state 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 a nonzero Chern invariant. Simulations on a model Hamiltonian validate our theory. |
| Handle: | http://hdl.handle.net/11368/2719287 |
| Digital Object Identifier (DOI): | http://dx.doi.org/10.1103/PhysRevLett.110.087202 |
| Appare nelle tipologie: | 1.1 Articolo in Rivista |
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