Measurement of the dynamic charge response of materials using low-energy, momentum-resolved electron energy-loss spectroscopy (M-EELS)
- University of Illinois at Urbana Champaign
- Oak Ridge National Laboratory
- Brookhaven National Laboratory
- Argonne National Laboratory
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 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 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 Sr _2 CaCu _2 O _{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.
- Research Organization:
- Argonne National Lab. (ANL), Argonne, IL (United States)
- Sponsoring Organization:
- USDOE; USDOE Office of Science (SC), Energy Frontier Research Center; Center for Emergent Superconductivity; Gordon and Betty Moore Foundation; Alexander von Humboldt Foundation
- Grant/Contract Number:
- AC02-98CH10886; SC0012368; AC02-06CH11357
- OSTI ID:
- 1398288
- Alternate ID(s):
- OSTI ID: 1418460
- Journal Information:
- SciPost Physics Proceedings, Journal Name: SciPost Physics Proceedings Vol. 3 Journal Issue: 4; ISSN 2542-4653
- Publisher:
- Stichting SciPostCopyright Statement
- Country of Publication:
- Netherlands
- Language:
- English
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