Inelastic Tunneling into Multipolaronic Bound States in Single-Layer <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi>MoS</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:m
Polarons are quasiparticles that arise from the interaction of electrons or holes with lattice vibrations. Though polarons are well studied across multiple disciplines, experimental observations of polarons in two-dimensional crystals are sparse. We use scanning tunneling microscopy and spectroscopy to measure inelastic excitations of polaronic bound states emerging from coupling of nonpolar zone-boundary phonons to Bloch electrons in <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"><a:mi>n</a:mi></a:math>-doped metallic single-layer <c:math xmlns:c="http://www.w3.org/1998/Math/MathML" display="inline"><c:mrow><c:msub><c:mrow><c:mi>MoS</c:mi></c:mrow><c:mrow><c:mn>2</c:mn></c:mrow></c:msub></c:mrow></c:math>. The latter is kept chemically pristine via contactless chemical doping. Tunneling into the vibrationally coupled polaronic states leads to a series of evenly spaced peaks in the differential conductance on either side of the Fermi level. Combining density functional (perturbation) theory with a recently developed electron-lattice downfolding technique, we show that the energy spacing stems from the longitudinal-acoustic phonon mode that flattens at the Brillouin zone edge and is responsible for the formation of stable multipolarons in metallic <e:math xmlns:e="http://www.w3.org/1998/Math/MathML" display="inline"><e:mrow><e:msub><e:mrow><e:mi>MoS</e:mi></e:mrow><e:mrow><e:mn>2</e:mn></e:mrow></e:msub></e:mrow></e:math>.
Authors
- Tim O. Wehling (ORCID: https://orcid.org/0000-0002-5579-2231)
- Roberto Mozara (ORCID: https://orcid.org/0009-0007-1795-7553)
- Thomas Michely (ORCID: https://orcid.org/0000-0003-1657-1847)
- Michael Winter (ORCID: https://orcid.org/0000-0001-7260-0417)
- Jan Berges (ORCID: https://orcid.org/0000-0001-7041-2906)
- Wouter Jolie (ORCID: https://orcid.org/0000-0001-9319-3427)
- J. Fischer (ORCID: https://orcid.org/0000-0003-3538-1926)
- Yann in ’t Veld (ORCID: https://orcid.org/0009-0009-7467-6920)
- Arne Schobert
- Christian Krämer (ORCID: https://orcid.org/0000-0001-8663-5266)
- Affan Safeer (ORCID: https://orcid.org/0000-0002-6882-0596)
- Tfyeche Y. Tounsi (ORCID: https://orcid.org/0009-0006-9434-7372)
- Laura Pätzold
- Mark Georger
- Karl J. Friston
Institutions
- Universität Hamburg (DE)
- University of Bremen (DE)
- University of Cologne (DE)
- Hamburg Centre for Ultrafast Imaging
Publication Details
- Journal
- Physical Review X
- Published
- 2025-06-17
- DOI
- https://doi.org/10.1103/l8lg-ny6m
- Primary Topic
- 2D Materials and Applications
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Deutsche Forschungsgemeinschaft
- Bundesministerium für Bildung und Forschung
- Universität Bremen