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Berry electrodynamics: Anomalous drift and pumping from a time-dependent Berry connection

Chaudhary, Swati and Endres, Manuel and Refael, Gil (2018) Berry electrodynamics: Anomalous drift and pumping from a time-dependent Berry connection. Physical Review B, 98 (6). Art. No. 064310. ISSN 2469-9950. http://resolver.caltech.edu/CaltechAUTHORS:20180521-092304073

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Abstract

The Berry curvature of a Bloch band can be interpreted as a local magnetic field in reciprocal space. This analogy can be extended by defining an electric field analog in reciprocal space which arises from the time-dependent Berry connection. We explore the term in the semiclassical equation of motion that gives rise to this phenomenon, and show that it can lead to anomalous drift in wave-packet motion. A similar effect arises from changes in the band population due to periodic driving, where the resulting drift depends on the nature of the drive and can be expressed in terms of a shift vector. Finally, these effects can be combined to build a pump with a net anomalous drift during a cyclic evolution in momentum space.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1103/PhysRevB.98.064310DOIArticle
http://arxiv.org/abs/1805.04532arXivDiscussion Paper
Alternate Title:Berry-electrodynamics - Anomalous drift and pumping from time-dependent Berry connection
Additional Information:© 2018 American Physical Society. (Received 31 May 2018; published 31 August 2018) We would like to thank Y. Baum, C. D. White, and K. Seetharam for helpful discussions. We are grateful for support from the Institute of Quantum Information and Matter, an NSF Physics frontier center funded by the Gordon and Betty Moore Foundation, and from the ARO MURI Grant No. W911NF-16-1-0361 “Quantum Materials by Design with Electromagnetic Excitation” sponsored by the U. S. Army. S.C. is additionally grateful for support from the Barbara Groce Graduate Fellowship. We are grateful to David Pekker and Eugene Demler for extensive discussions. G.R. gratefully acknowledges the hospitality of the Aspen Center for Physics funded by NSF Grant No. PHY-1607611.
Group:Institute for Quantum Information and Matter, IQIM
Funders:
Funding AgencyGrant Number
Institute for Quantum Information and Matter (IQIM)UNSPECIFIED
Gordon and Betty Moore FoundationUNSPECIFIED
Army Research Office (ARO)W911NF-16-1-0361
Barbara Groce Graduate Fellowship, CaltechUNSPECIFIED
NSFPHY-1607611
Record Number:CaltechAUTHORS:20180521-092304073
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20180521-092304073
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:86490
Collection:CaltechAUTHORS
Deposited By: Joy Painter
Deposited On:21 May 2018 16:32
Last Modified:31 Aug 2018 17:25

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