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Biased bilayer graphene, with its easily tunable band gap, presents itself as the ideal system to explore the excitonic effect in graphene based systems. In this paper we study the excitonic optical response of such a system by combining a…

Mesoscale and Nanoscale Physics · Physics 2022-01-20 J. C. G. Henriques , Itai Epstein , N. M. R. Peres

Biased bilayer graphene (BBG) is a variable band gap semiconductor, with a strongly field-dependent band gap of up to $300 \, \text{meV}$, making it of particular interest for graphene-based nano-electronic and -photonic devices. The…

Mesoscale and Nanoscale Physics · Physics 2022-03-21 Mikkel Ohm Sauer , Thomas Garm Pedersen

Common wisdom asserts that bound excitons cannot form in high-dimensional (d>1) metallic structures because of their overwhelming screening and unavoidable resonance with nearby continuous bands. Strikingly, here we illustrate that this…

Mesoscale and Nanoscale Physics · Physics 2014-09-29 Yufeng Liang , Ryan Soklaski , Shouting Huang , Matthew W. Graham , Robin Havener , Jiwoong Park , Li Yang

We derive a gap equation for bilayer excitonic systems based on density functional theory and benchmark our results against quantum Monte-Carlo simulations and recent experiments on double bilayer graphene. The gap equation has a mean-field…

Materials Science · Physics 2021-05-19 Fredrik Nilsson , Ferdi Aryasetiawan

Recent measurements have shown that a continuously tunable bandgap of up to 250 meV can be generated in biased bilayer graphene [Y. Zhang et al., Nature 459, 820 (2009)], opening up pathway for possible graphene-based nanoelectronic and…

Materials Science · Physics 2010-02-11 Cheol-Hwan Park , Steven G. Louie

We present a computational approach for exciton calculations in two-dimensional (2D) materials within the Bethe-Salpeter equation (BSE) framework, employing an atomistic description with point-like orbitals. Unlike widespread efficient…

Mesoscale and Nanoscale Physics · Physics 2026-03-12 P. Ninhos , A. J. Uría-Álvarez , C. Tserkezis , N. A. Mortensen , J. J. Palacios

Understanding the dynamics of excitons in two dimensional semiconductors requires a theory that incorporates the essential physics distinct from their three-dimensional counterparts. In addition to the modified dielectric environment,…

Mesoscale and Nanoscale Physics · Physics 2019-01-30 Pengke Li , Ian Appelbaum

The twisted hexagonal boron nitride (hBN) bilayer has demonstrated exceptional properties, particularly the existence of electronic flat bands without needing a magic angle, suggesting strong excitonic effects. Therefore, a systematic…

Strongly Correlated Electrons · Physics 2023-08-25 Pedro Roman-Taboada , Estefania Obregon-Castillo , Andrés R. Botello-Mendez , Cecilia Noguez

In this tutorial we introduce the reader to several theoretical methods of determining the exciton wave functions and the corresponding eigenenergies. The methods covered are either analytical, semi-analytical, or numeric. We make explicit…

Mesoscale and Nanoscale Physics · Physics 2022-04-28 M. F. C. Martins Quintela , J. C. G. Henriques , N. M. R. Peres

Exciton condensation in semiconductors and semimetals has long been predicted but remains elusive. In a semiconductor, condensation occurs when the exciton binding energy matches the band gap. This binding energy results from a balance…

Strongly Correlated Electrons · Physics 2025-06-11 Harley D. Scammell , Oleg P. Sushkov

Electron interactions in undoped bilayer graphene lead to instability of the gapless state, `which-layer' symmetry breaking, and energy gap opening at the Dirac point. In contrast to single layer graphene, the bilayer system exhibits…

Mesoscale and Nanoscale Physics · Physics 2010-04-16 Rahul Nandkishore , Leonid Levitov

We consider suspened bilayer graphene under applied perpendicular electric bias field that is known to generate a single particle gap $2\Delta$ and a related electric polarization ${\cal P}$. We argue that the bias also drives a quantum…

Mesoscale and Nanoscale Physics · Physics 2023-01-20 Harley D. Scammell , Oleg P. Sushkov

Bilayer graphene is normally a semimetal with parabolic dispersion, but a tunable bandgap up to few hundreds meV can be opened by breaking the symmetry between the layers through an external potential. Ab-initio calculations show that the…

Mesoscale and Nanoscale Physics · Physics 2015-09-30 Simone De Liberato

The band structure of bilayer graphene is tunable by introducing a relative twist angle between the two layers, unlocking exotic phases, such as superconductor and Mott insulator, and providing a fertile ground for new physics. At…

Mesoscale and Nanoscale Physics · Physics 2021-07-28 Matthew C. DeCapua , Yueh-Chun Wu , Takashi Taniguchi , Kenji Watanabe , Jun Yan

A fully selfconsistent treatment for gap generation and Coulomb screening in excitonic insulators is presented. The method is based on the equations of motion for the relevant dynamical variables combined with a variational approach.…

Mesoscale and Nanoscale Physics · Physics 2013-06-27 Tineke Stroucken , Johanna H. Grönqvist , Stephan. W. Koch

The tight-binding model of a graphene bilayer is used to find the gap between the conduction and valence bands, as a function of both the gate voltage and as the doping by donors or acceptors. The total Hartree energy is minimized and the…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 L. A. Falkovsky

The optical response of quasi-one-dimensional systems is often dominated by tightly bound excitons, that significantly influence their basic electronic properties. Despite their importance for device performance, accurately predicting their…

Mesoscale and Nanoscale Physics · Physics 2024-03-26 Cesar E. P. Villegas , Alexandre R. Rocha

We report a combined theoretical/experimental study of dynamic screening of excitons in media with frequency-dependent dielectric functions. We develop an analytical model showing that interparticle interactions in an exciton are screened…

Mesoscale and Nanoscale Physics · Physics 2017-03-16 Andrey R. Klots , Benjamin Weintrub , Dhiraj Prasai , Daniel Kidd , Kalman Varga , Kirill A. Velizhanin , Kirill I. Bolotin

When two sheets of graphene stack in a twisted bilayer graphene (tBLG) configuration, the resulting constrained overlap between interplanar 2p orbitals produce angle-tunable electronic absorption resonances. Using a novel combination of…

Mesoscale and Nanoscale Physics · Physics 2016-01-13 Hiral Patel , Lola Brown , Yufeng Liang , Li Yang , Jiwoong Park , Matt W. Graham

The energy spectra and wavefunctions of bound excitons in important two-dimensional (2D) graphene derivatives, i.e., graphyne and graphane, are found to be strongly modified by quantum confinement, making them qualitatively different from…

Mesoscale and Nanoscale Physics · Physics 2015-06-16 Shouting Huang , Yufeng Liang , Li Yang
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