Friedel oscillations as a probe of fermionic quasiparticles

Emanuele G. Dalla Torre, David Benjamin, Yang He, David Dentelski, Eugene Demler

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When immersed in a sea of electrons, local impurities give rise to density modulations known as Friedel oscillations. In spite of the generality of this phenomenon, the exact shape of these modulations is usually computed only for noninteracting electrons with a quadratic dispersion relation. In actual materials, Friedel oscillations are a viable way to access the properties of electronic quasiparticles, including their dispersion relation, lifetime, and pairing. In this work we analyze the signatures of Friedel oscillations in STM and x-ray scattering experiments, focusing on the concrete example of cuprate superconductors. We identify signatures of Friedel oscillations seeded by impurities and vortices, and explain experimental observations that have been previously attributed to a competing charge order.

Original languageEnglish
Article number205117
JournalPhysical Review B
Issue number20
StatePublished - 11 May 2016

Bibliographical note

Publisher Copyright:
© 2016 American Physical Society.


E.D. acknowledges support from Harvard-MIT CUA, NSF Grant No. DMR-1308435, AFOSR Quantum Simulation MURI, the ARO-MURI on Atomtronics, ARO MURI Qusim program, the Humboldt Foundation, Dr. Max Rssler, the Walter Haefner Foundation, the Simons foundation, and the ETH Foundation. The work of E.G.D.T. and D.D. is supported by the Israel Science Foundation (Grant No.1542/14). E.G.D.T. is thankful to the Aspen Center for Physics, where part of this work was performed during the winter-2014 workshop on Unconventional Order in Strongly Correlated Electron Systems.

FundersFunder number
ARO-MURI on Atomtronics
ETH Foundation
Harvard-MIT CUA
Walter Haefner Foundation
National Science FoundationDMR-1308435
Directorate for Mathematical and Physical Sciences1308435
Air Force Office of Scientific Research
Army Research Office
Simons Foundation
Alexander von Humboldt-Stiftung
Multidisciplinary University Research Initiative
Israel Science Foundation1542/14


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