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Thermodynamic measure of the magnetoelectric coupling in a three-dimensional topological insulator

Bergman, Doron L. and Refael, Gil (2013) Thermodynamic measure of the magnetoelectric coupling in a three-dimensional topological insulator. Physical Review B, 87 (2). Art. No. 024202. ISSN 1098-0121. http://resolver.caltech.edu/CaltechAUTHORS:20120130-132632571

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Abstract

We show that the magnetoelectric coupling in three-dimensional (strong) topological insulators is related to a second derivative of the bulk magnetization. The formula we derive is the nonlinear-response analog of the Streda formula for Hall conductivity [Streda, J. Phys. C 15, L717 (1982)], which relates the Hall conductivity to the derivative of the magnetization with respect to the chemical potential. Our finding allows one to extract the magnetoelectric coefficient by measuring the magnetization, while varying the chemical potential and one more perturbing field. The relation we find also makes transparent the effect of disorder on the magnetoelectric response, which occurs only through the density of states, and has no effect when the system is gapped.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://arxiv.org/abs/1201.3042arXivDiscussion Paper
http://dx.doi.org/10.1103/PhysRevB.87.024202 DOIArticle
http://journals.aps.org/prb/abstract/10.1103/PhysRevB.87.024202PublisherArticle
Alternate Title:A thermodynamic measure of the Magneto-electric coupling in the 3D topological insulator
Additional Information:© 2013 American Physical Society. Received 20 July 2012; published 8 January 2013. D.L.B. was generously supported by the Sherman Fairchild Foundation. G.R. acknowledges support from DARPA and from the Caltech Institute of Quantum Information and Matter, an NSF Physics Frontiers Center with the support of the Gordon and Betty Moore Foundation.
Group:IQIM, Institute for Quantum Information and Matter
Funders:
Funding AgencyGrant Number
Sherman Fairchild FoundationUNSPECIFIED
Defense Advanced Research Projects Agency (DARPA)UNSPECIFIED
Caltech Institute of Quantum Information and MatterUNSPECIFIED
Gordon and Betty Moore FoundationUNSPECIFIED
Classification Code:PACS number(s): 72.10.−d, 71.20.−b, 72.20.−i
Record Number:CaltechAUTHORS:20120130-132632571
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20120130-132632571
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:29025
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:21 Mar 2012 21:05
Last Modified:09 Jan 2016 00:48

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