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Flat-band optical phonons in twisted bilayer graphene
Istituto di Struttura della Materia, CNR (ISM-CNR), 34149 Trieste, Italy.
Instituto Madrileño de Estudios Avanzados, IMDEA Nanociencia, Calle Faraday 9, 28049 Madrid, Spain, Calle Faraday 9.
Nordia SU; Department of Physics, University of Bath, Claverton Down, Bath BA2 7AY, United Kingdom, Claverton Down.
Instituto Madrileño de Estudios Avanzados, IMDEA Nanociencia, Calle Faraday 9, 28049 Madrid, Spain, Calle Faraday 9; Donostia International Physics Center, Paseo Manuel de Lardizábal 4, 20018 San Sebastián, Spain; Ikerbasque, Basque Foundation for Science, 48009 Bilbao, Spain.
2023 (English)In: Physical Review B, ISSN 2469-9950, E-ISSN 2469-9969, Vol. 108, no 12, article id 125401Article in journal (Refereed) Published
Abstract [en]

Twisting bilayer sheets of graphene have been proven to be an efficient way to manipulate the electronic Dirac-like properties, resulting in flat bands at magic angles. Inspired by the electronic model, we develop a continuum model for the lattice dynamics of twisted bilayer graphene and we show that a remarkable band flattening applies to almost all the high-frequency in-plane lattice vibration modes, including the valley Dirac phonon, valley optical phonon, and zone-center optical phonon bands. Utilizing an approximate approach, we estimate small but finite magic angles at which a vanishing phonon bandwidth is expected. In contrast to the electronic case, the existence of a restoring potential prohibits the emergence of a magic angle in a more accurate modeling. The predicted phonon band flattening is highly tunable by the twist angle and this strong dependence is directly accessible by spectroscopic tools.

Place, publisher, year, edition, pages
American Physical Society (APS) , 2023. Vol. 108, no 12, article id 125401
National Category
Condensed Matter Physics
Identifiers
URN: urn:nbn:se:kth:diva-338358DOI: 10.1103/PhysRevB.108.125401ISI: 001080542900004Scopus ID: 2-s2.0-85172665064OAI: oai:DiVA.org:kth-338358DiVA, id: diva2:1806250
Note

QC 20231020

Available from: 2023-10-20 Created: 2023-10-20 Last updated: 2023-10-31Bibliographically approved

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