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Phys. Rev. Lett. 102, 087602 (2009) [4 pages]

Polarization and Adiabatic Pumping in Inhomogeneous Crystals

Di Xiao,1,2 Junren Shi,3 Dennis P. Clougherty,4 and Qian Niu1
1Department of Physics, The University of Texas at Austin, Austin, Texas 78712, USA
2Materials Science and Technology Division, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831, USA
3Institute of Physics and ICQS, Chinese Academy of Sciences, Beijing 100080, China
4Department of Physics, University of Vermont, Burlington, Vermont 05405, USA

Received 12 November 2007; published 24 February 2009

We develop a general theory of electric polarization in crystals with inhomogeneous order. We show that the inhomogeneity-induced polarization can be classified into two parts: a perturbative contribution stemming from a correction to the basis functions and a topological contribution described in terms of the Chern-Simons form of the Berry gauge fields. The latter is determined up to an uncertainty quantum, which is the second Chern number in appropriate units. Our theory provides an exhaustive link between microscopic models and the macroscopic polarization.

©2009 The American Physical Society

URL: http://link.aps.org/doi/10.1103/PhysRevLett.102.087602
DOI: 10.1103/PhysRevLett.102.087602
PACS: 77.22.-d; 05.30.Pr; 71.10.Fd; 75.30.-m
  • 77.22.-d
    Dielectric properties of solids and liquids
  • 05.30.Pr
    Fractional statistics systems (anyons, etc.)
  • 71.10.Fd
    Lattice fermion models (condensed matter)
  • 75.30.-m
    Intrinsic properties of magnetically ordered materials
  • YEAR: 2009

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