Physics – Condensed Matter – Other Condensed Matter
Scientific paper
2011-08-31
Physics
Condensed Matter
Other Condensed Matter
16 pages, 1 figure. The version accepted by PRB
Scientific paper
In this paper, we propose a unified formalism, using Green's functions, to integrate out the electrons in an insulator under uniform electromagnetic fields. We derive a perturbative formula for the Green's function in the presence of uniform magnetic or electric fields. Applying the formula, we derive the formula for the polarization, the orbital magnetization, and the orbital magneto-polarizability, without assuming time reversal symmetry. Specifically, we realize that the terms linear in the electric field can only be expressed in terms of the Green's functions in one extra dimension. This observation directly leads to the result that the coefficient of the $\theta$ term in any dimensions is given by a Wess-Zumino-Witten-type term, integrated in the extended space, interpolating between the original physical Brillouin zone and a trivial system, with the group element replaced by the Green's function. This generalizes an earlier result for the case of time reversal invariance [see Z. Wang, X.-L. Qi, and S.-C. Zhang, Phys. Rev. Lett. {\bf 105}, 256803 (2010)].
Chen Kuang-Ting
Lee Patrick A.
No associations
LandOfFree
Unified Formalism for calculating Polarization, Magnetization, and more in a Periodic Insulator does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Unified Formalism for calculating Polarization, Magnetization, and more in a Periodic Insulator, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Unified Formalism for calculating Polarization, Magnetization, and more in a Periodic Insulator will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-625016