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Title: Measurement of the dynamic charge response of materials using low-energy, momentum-resolved electron energy-loss spectroscopy (M-EELS)

Abstract

One of the most fundamental properties of an interacting electron system is its frequency- and wave-vector-dependent density response function, \chi({\bf q},\omega) . The imaginary part, \chi''({\bf q},\omega) , defines the fundamental bosonic charge excitations of the system, exhibiting peaks wherever collective modes are present. \chi χ quantifies the electronic compressibility of a material, its response to external fields, its ability to screen charge, and its tendency to form charge density waves. Unfortunately, there has never been a fully momentum-resolved means to measure \chi({\bf q},\omega) at the meV energy scale relevant to modern electronic materials. Here, we demonstrate a way to measure \chi χ with quantitative momentum resolution by applying alignment techniques from x-ray and neutron scattering to surface high-resolution electron energy-loss spectroscopy (HR-EELS). This approach, which we refer to here as “M-EELS”, allows direct measurement of \chi''({\bf q},\omega) with meV resolution while controlling the momentum with an accuracy better than a percent of a typical Brillouin zone. We apply this technique to finite-q excitations in the optimally-doped high temperature superconductor, Bi _2 2 Sr _2 2 CaCu _2 2 O _{8+x} 8 + x (Bi2212), which exhibits several phonons potentially relevant to dispersion anomalies observed in ARPES and STM experiments. Our study defines a path to studying the long-sought collective charge modes in quantum materials at the meV scale and with full momentum control.

Authors:
ORCiD logo [1]; ORCiD logo [1];  [1];  [1];  [1];  [1];  [1];  [2];  [3];  [3];  [1];  [4]
  1. Univ. of Illinois, Urbana, IL (United States)
  2. Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
  3. Brookhaven National Lab. (BNL), Upton, NY (United States)
  4. Argonne National Lab. (ANL), Argonne, IL (United States)
Publication Date:
Research Org.:
Argonne National Lab. (ANL), Argonne, IL (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Energy Frontier Research Center; Center for Emergent Superconductivity; Gordon and Betty Moore Foundation; Alexander von Humboldt Foundation; USDOE
OSTI Identifier:
1398288
Alternate Identifier(s):
OSTI ID: 1418460
Grant/Contract Number:  
AC02-06CH11357; AC02-98CH10886; SC0012368
Resource Type:
Journal Article: Published Article
Journal Name:
SciPost Physics
Additional Journal Information:
Journal Volume: 3; Journal Issue: 4; Journal ID: ISSN 2542-4653
Publisher:
Stichting SciPost
Country of Publication:
United States
Language:
English
Subject:
36 MATERIALS SCIENCE

Citation Formats

Husain, Ali A., Mitrano, Matteo, Rak, Melinda S., Abbamonte, Peter, Kogar, Anshul, Vig, Sean, Venema, Luc, Mishra, Vivek, Johnson, Peter D., Gu, Genda D., Fradkin, Eduardo, and Norman, Michael R. Measurement of the dynamic charge response of materials using low-energy, momentum-resolved electron energy-loss spectroscopy (M-EELS). United States: N. p., 2017. Web. doi:10.21468/SciPostPhys.3.4.026.
Husain, Ali A., Mitrano, Matteo, Rak, Melinda S., Abbamonte, Peter, Kogar, Anshul, Vig, Sean, Venema, Luc, Mishra, Vivek, Johnson, Peter D., Gu, Genda D., Fradkin, Eduardo, & Norman, Michael R. Measurement of the dynamic charge response of materials using low-energy, momentum-resolved electron energy-loss spectroscopy (M-EELS). United States. doi:10.21468/SciPostPhys.3.4.026.
Husain, Ali A., Mitrano, Matteo, Rak, Melinda S., Abbamonte, Peter, Kogar, Anshul, Vig, Sean, Venema, Luc, Mishra, Vivek, Johnson, Peter D., Gu, Genda D., Fradkin, Eduardo, and Norman, Michael R. Fri . "Measurement of the dynamic charge response of materials using low-energy, momentum-resolved electron energy-loss spectroscopy (M-EELS)". United States. doi:10.21468/SciPostPhys.3.4.026.
@article{osti_1398288,
title = {Measurement of the dynamic charge response of materials using low-energy, momentum-resolved electron energy-loss spectroscopy (M-EELS)},
author = {Husain, Ali A. and Mitrano, Matteo and Rak, Melinda S. and Abbamonte, Peter and Kogar, Anshul and Vig, Sean and Venema, Luc and Mishra, Vivek and Johnson, Peter D. and Gu, Genda D. and Fradkin, Eduardo and Norman, Michael R.},
abstractNote = {One of the most fundamental properties of an interacting electron system is its frequency- and wave-vector-dependent density response function, \chi({\bf q},\omega) . The imaginary part, \chi''({\bf q},\omega) , defines the fundamental bosonic charge excitations of the system, exhibiting peaks wherever collective modes are present. \chi χ quantifies the electronic compressibility of a material, its response to external fields, its ability to screen charge, and its tendency to form charge density waves. Unfortunately, there has never been a fully momentum-resolved means to measure \chi({\bf q},\omega) at the meV energy scale relevant to modern electronic materials. Here, we demonstrate a way to measure \chi χ with quantitative momentum resolution by applying alignment techniques from x-ray and neutron scattering to surface high-resolution electron energy-loss spectroscopy (HR-EELS). This approach, which we refer to here as “M-EELS”, allows direct measurement of \chi''({\bf q},\omega) with meV resolution while controlling the momentum with an accuracy better than a percent of a typical Brillouin zone. We apply this technique to finite-q excitations in the optimally-doped high temperature superconductor, Bi _2 2 Sr _2 2 CaCu _2 2 O _{8+x} 8 + x (Bi2212), which exhibits several phonons potentially relevant to dispersion anomalies observed in ARPES and STM experiments. Our study defines a path to studying the long-sought collective charge modes in quantum materials at the meV scale and with full momentum control.},
doi = {10.21468/SciPostPhys.3.4.026},
journal = {SciPost Physics},
number = 4,
volume = 3,
place = {United States},
year = {Fri Oct 06 00:00:00 EDT 2017},
month = {Fri Oct 06 00:00:00 EDT 2017}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record at 10.21468/SciPostPhys.3.4.026

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