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The theory of parametrically amplified electron-phonon superconductivity

Babadi, Mehrtash and Knap, Michael and Martin, Ivar and Refael, Gil and Demler, Eugene (2017) The theory of parametrically amplified electron-phonon superconductivity. Physical Review B, 96 (1). Art. No. 014512. ISSN 2469-9950. http://resolver.caltech.edu/CaltechAUTHORS:20170619-085401037

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Abstract

Ultrafast optical manipulation of ordered phases in strongly correlated materials is a topic of significant theoretical, experimental, and technological interest. Inspired by a recent experiment on light-induced superconductivity in fullerenes [M. Mitrano et al., Nature (London) 530, 461 (2016)], we develop a comprehensive theory of light-induced superconductivity in driven electron-phonon systems with lattice nonlinearities. In analogy with the operation of parametric amplifiers, we show how the interplay between the external drive and lattice nonlinearities lead to significantly enhanced effective electron-phonon couplings. We provide a detailed and unbiased study of the nonequilibrium dynamics of the driven system using the real-time Green's function technique. To this end, we develop a Floquet generalization of the Migdal-Eliashberg theory and derive a numerically tractable set of quantum Floquet-Boltzmann kinetic equations for the coupled electron-phonon system. We study the role of parametric phonon generation and electronic heating in destroying the transient superconducting state. Finally, we predict the transient formation of electronic Floquet bands in time- and angle-resolved photoemission spectroscopy experiments as a consequence of the proposed mechanism.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1103/PhysRevB.96.014512DOIArticle
https://journals.aps.org/prb/abstract/10.1103/PhysRevB.96.014512PublisherArticle
https://arxiv.org/abs/1702.02531arXivDiscussion Paper
ORCID:
AuthorORCID
Martin, Ivar0000-0002-2010-6449
Additional Information:© 2017 American Physical Society. Received 11 April 2017; published 19 July 2017. We thank A. Cavalleri, A. Georges, V. Galitski, C. Kollath, A. Millis, B. Halperin, and D. Huse for useful discussions. M.B. and G.R. are grateful for support from the NSF through Grant No. DMR-1410435, the Institute of Quantum Information and Matter, an NSF Frontier center funded by the Gordon and Betty Moore Foundation, and the Packard Foundation. M.K. acknowledges support from the Technical University of Munich-Institute for Advanced Study, funded by the German Excellence Initiative and the European Union FP7 under Grant Agreement No. 291763, and from the DFG Grant No. KN 1254/1-1. I.M. acknowledges support from the Materials Sciences and Engineering Division, Basic Energy Sciences, Office of Science, US Department of Energy. E.D. acknowledges support from Packard Foundation, Harvard-MIT CUA, NSF (an NSF physics frontiers center) Grant No. DMR-1308435, AFOSR Quantum Simulation MURI, and AFOSR Photonic Quantum Matter MURI.
Group:IQIM, Institute for Quantum Information and Matter
Funders:
Funding AgencyGrant Number
NSFDMR-1308435
Institute for Quantum Information and Matter (IQIM)UNSPECIFIED
NSF Physics Frontiers CenterUNSPECIFIED
Gordon and Betty Moore FoundationUNSPECIFIED
David and Lucile Packard FoundationUNSPECIFIED
Technical University of MunichUNSPECIFIED
European Research Council (ERC)291763
Deutsche Forschungsgemeinschaft (DFG)KN 1254/1-1
Department of Energy (DOE)UNSPECIFIED
Harvard-MIT Center for Ultracold AtomsUNSPECIFIED
Air Force Office of Scientific Research (AFOSR)UNSPECIFIED
Record Number:CaltechAUTHORS:20170619-085401037
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20170619-085401037
Official Citation:Theory of parametrically amplified electron-phonon superconductivity Mehrtash Babadi, Michael Knap, Ivar Martin, Gil Refael, and Eugene Demler Phys. Rev. B 96, 014512
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:78322
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:19 Jun 2017 16:01
Last Modified:11 Oct 2017 18:43

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