Conductance fluctuations in chaotic bilayer graphene quantum dots

Rui Bao, Liang Huang, Ying-Cheng Lai, Celso Grebogi

Research output: Contribution to journalArticle

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Abstract

Previous studies of quantum chaotic scattering established a connection between classical dynamics and quantum transport properties: integrable or mixed classical dynamics can lead to sharp conductance fluctuations but chaos is capable of smoothing out the conductance variations. Relativistic quantum transport through single layer graphene systems, for which the quasiparticles are massless Dirac fermions, exhibits this classical-quantum correspondence, but sharp conductance fluctuations persist to certain extent even when the classical system is fully chaotic. An open issue concerns about the effect of finite mass on relativistic quantum transport. To address this issue, we study quantum transport in chaotic bilayer graphene quantum dots for which the quasiparticles have a finite mass. An interesting phenomenon is that, when traveling along the classical ballistic orbit, the quasiparticle tends to hop back and forth between the two layers, exhibiting a Zitterbewegunglike effect. We find signatures of abrupt conductance variations, indicating that the mass has has little effect on relativistic quantum transport. In solid state electronic devices based on Dirac materials, sharp conductance fluctuations are thus expected, regardless of whether the quasiparticle is massless or massive and whether there is chaos in the classical limit.
Original languageEnglish
Article number012918
JournalPhysical Review. E, Statistical, Nonlinear and Soft Matter Physics
Volume92
Issue number1
DOIs
Publication statusPublished - 27 Jul 2015

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Quantum Transport
Graphene
Quantum Dots
Conductance
Quasiparticles
graphene
quantum dots
Fluctuations
Paul Adrien Maurice Dirac
chaos
Chaos
Classical Limit
Transport Properties
Ballistics
smoothing
ballistics
Fermions
Smoothing
Signature
Correspondence

Cite this

Conductance fluctuations in chaotic bilayer graphene quantum dots. / Bao, Rui; Huang, Liang; Lai, Ying-Cheng; Grebogi, Celso.

In: Physical Review. E, Statistical, Nonlinear and Soft Matter Physics, Vol. 92, No. 1, 012918, 27.07.2015.

Research output: Contribution to journalArticle

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