A Non-Commutative Formula for the Isotropic Magneto-Electric Response
Mathematical Physics
2013-02-12 v2 Disordered Systems and Neural Networks
math.MP
Operator Algebras
Abstract
A non-commutative formula for the isotropic magneto-electric response of disordered insulators under magnetic fields is derived using the methods of non-commutative geometry. Our result follows from an explicit evaluation of the Ito derivative with respect to the magnetic field of the non-commutative formula for the electric polarization reported in Ref. 1. The quantization, topological invariance and connection to a second Chern number of the magneto-electric response are discussed in the context of 3-dimensional, disordered, time-reversal or inversion symmetric topological insulators.
Keywords
Cite
@article{arxiv.1211.6386,
title = {A Non-Commutative Formula for the Isotropic Magneto-Electric Response},
author = {Bryan Leung and Emil Prodan},
journal= {arXiv preprint arXiv:1211.6386},
year = {2013}
}