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Orbital magnetization in periodic insulators.

T Thonhauser1, Davide Ceresoli, David Vanderbilt

  • 1Department of Physics and Astronomy, Rutgers University, Piscataway, New Jersey 08854, USA.

Physical Review Letters
|October 4, 2005
PubMed
Summary

We derived a new expression for orbital magnetization in periodic insulators using Wannier functions. This reveals two key contributions, one internal and one surface-related, offering a deeper understanding of magnetic properties in materials.

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Area of Science:

  • Condensed matter physics
  • Solid-state physics
  • Materials science

Background:

  • Orbital magnetization is a fundamental property of magnetic materials.
  • Understanding its origins in insulators is crucial for predicting material behavior.
  • Previous models may not fully capture surface effects.

Purpose of the Study:

  • To derive a comprehensive expression for orbital magnetization in periodic insulators.
  • To elucidate the distinct contributions to orbital magnetization.
  • To provide a gauge-invariant formulation applicable to bulk properties.

Main Methods:

  • Utilizing the Wannier representation for theoretical derivation.
  • Expressing magnetization in terms of Bloch functions.
  • Performing numerical tight-binding calculations for verification.

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Main Results:

  • Identified two contributions to orbital magnetization: bulk circulation and surface currents.
  • Developed a gauge-invariant expression for each contribution.
  • Validated the theoretical expression through numerical simulations.

Conclusions:

  • The derived expression accurately describes orbital magnetization in periodic insulators.
  • Surface currents carried by Wannier functions play a significant role.
  • The findings offer new insights into the electronic and magnetic properties of materials.