Anomalous electrodynamics and quantum geometry in the Dirac-Harper model for a graphene bilayer
Abstract
In this work, graphene bilayers with layer antisymmetric strains are studied using the Dirac-Harper model for a pair of single layer Dirac Hamiltonians coupled by a one-dimensional moiré-periodic interlayer tunneling amplitude. This model hosts low energy, nearly dispersionless bands near charge neutrality that support anomalous polarizations of its charge multipole distributions. These are analyzed introducing a generalized Berry curvature that encodes the field-induced dynamics of multipole fields allowed in a chiral medium with time reversal symmetry. The formulation identifies a reciprocity relation between responses to layer-symmetric and layer-antisymmetric in-plane electric fields and reveals momentum-space quantum oscillations produced by a spatial pattern of band inversions on the moiré scale.
- Publication Date:
- Research Org.:
- Univ. of Pennsylvania, Philadelphia, PA (United States)
- Sponsoring Org.:
- USDOE
- OSTI Identifier:
- 1830640
- Grant/Contract Number:
- FG02-84ER45118
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review. B
- Additional Journal Information:
- Journal Volume: 104; Journal Issue: 7; Journal ID: ISSN 2469-9950
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 36 MATERIALS SCIENCE; graphene; moire bilayers; chiral media
Citation Formats
Timmel, Abigail, and Mele, E. J.. Anomalous electrodynamics and quantum geometry in the Dirac-Harper model for a graphene bilayer. United States: N. p., 2021.
Web. doi:10.1103/physrevb.104.075419.
Timmel, Abigail, & Mele, E. J.. Anomalous electrodynamics and quantum geometry in the Dirac-Harper model for a graphene bilayer. United States. https://doi.org/10.1103/physrevb.104.075419
Timmel, Abigail, and Mele, E. J.. Thu .
"Anomalous electrodynamics and quantum geometry in the Dirac-Harper model for a graphene bilayer". United States. https://doi.org/10.1103/physrevb.104.075419. https://www.osti.gov/servlets/purl/1830640.
@article{osti_1830640,
title = {Anomalous electrodynamics and quantum geometry in the Dirac-Harper model for a graphene bilayer},
author = {Timmel, Abigail and Mele, E. J.},
abstractNote = {In this work, graphene bilayers with layer antisymmetric strains are studied using the Dirac-Harper model for a pair of single layer Dirac Hamiltonians coupled by a one-dimensional moiré-periodic interlayer tunneling amplitude. This model hosts low energy, nearly dispersionless bands near charge neutrality that support anomalous polarizations of its charge multipole distributions. These are analyzed introducing a generalized Berry curvature that encodes the field-induced dynamics of multipole fields allowed in a chiral medium with time reversal symmetry. The formulation identifies a reciprocity relation between responses to layer-symmetric and layer-antisymmetric in-plane electric fields and reveals momentum-space quantum oscillations produced by a spatial pattern of band inversions on the moiré scale.},
doi = {10.1103/physrevb.104.075419},
journal = {Physical Review. B},
number = 7,
volume = 104,
place = {United States},
year = {2021},
month = {8}
}
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