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Phys. Rev. Lett. 95, 137205 (2005) [4 pages]

Orbital Magnetization in Periodic Insulators

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T. Thonhauser1, Davide Ceresoli2, David Vanderbilt1, and R. Resta3
1Department of Physics and Astronomy, Rutgers University, Piscataway, New Jersey 08854, USA
2International School for Advanced Studies (SISSA/ISAS) and INFM-DEMOCRITOS, via Beirut 4, 34014, Trieste, Italy
3Dipartimento di Fisica Teorica Università di Trieste and INFM-DEMOCRITOS, strada Costiera 11, 34014, Trieste, Italy

See Also: Publisher's Note

Received 20 May 2005; published 22 September 2005

Working in the Wannier representation, we derive an expression for the orbital magnetization of a periodic insulator. The magnetization is shown to be comprised of two contributions, an obvious one associated with the internal circulation of bulklike Wannier functions in the interior, and an unexpected one arising from net currents carried by Wannier functions near the surface. Each contribution can be expressed as a bulk property in terms of Bloch functions in a gauge-invariant way. Our expression is verified by comparing numerical tight-binding calculations for finite and periodic samples.

© 2005 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.95.137205
DOI:
10.1103/PhysRevLett.95.137205
PACS:
75.10.Lp, 73.20.At, 73.43.−f

See Also

Publisher's Note: Di Xiao, Junren Shi, and Qian Niu, Publisher’s Note: Berry Phase Correction to Electron Density of States in Solids [Phys. Rev. Lett. 95, 137204 (2005)], Phys. Rev. Lett. 95, 169903 (2005).