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A non-commutative formula for the isotropic magneto-electric response.
- Source :
-
Journal of Physics A: Mathematical & Theoretical . 3/1/2013, Vol. 46 Issue 8, p1-14. 14p. - Publication Year :
- 2013
-
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 Schulz-Baldes and Teufel (2012 arXiv:1201.4812v1). The quantization, topological invariance and connection to a second Chern number of the magneto-electric response are discussed in the context of three-dimensional, disordered, time-reversal or inversion symmetric topological insulators. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 17518113
- Volume :
- 46
- Issue :
- 8
- Database :
- Academic Search Index
- Journal :
- Journal of Physics A: Mathematical & Theoretical
- Publication Type :
- Academic Journal
- Accession number :
- 86363369
- Full Text :
- https://doi.org/10.1088/1751-8113/46/8/085205