Imaging electrostatically confined Dirac fermions in graphene quantum dots

Electrostatic confinement of charge carriers in graphene is governed by Klein tunnelling, a relativistic quantum process in which particle–hole transmutation leads to unusual anisotropic transmission at p–n junction boundaries. Reflection and transmission at these boundaries affect the quantum inter...

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Main Authors: Lee, Juwon, Wong, Dillon, Velasco Jr, Jairo, Kahn, Salman, Tsai, Hsin-Zon, Taniguchi, Takashi, Watanabe, Kenji, Zettl, Alex, Wang, Feng, Crommie, Michael F., Rodriguez Nieva, Joaquin Francisco, Levitov, Leonid
Other Authors: Massachusetts Institute of Technology. Department of Physics
Format: Article
Language:en_US
Published: Nature Publishing Group 2017
Online Access:http://hdl.handle.net/1721.1/110015
https://orcid.org/0000-0002-3023-396X
https://orcid.org/0000-0002-4268-731X
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author Lee, Juwon
Wong, Dillon
Velasco Jr, Jairo
Kahn, Salman
Tsai, Hsin-Zon
Taniguchi, Takashi
Watanabe, Kenji
Zettl, Alex
Wang, Feng
Crommie, Michael F.
Rodriguez Nieva, Joaquin Francisco
Levitov, Leonid
author2 Massachusetts Institute of Technology. Department of Physics
author_facet Massachusetts Institute of Technology. Department of Physics
Lee, Juwon
Wong, Dillon
Velasco Jr, Jairo
Kahn, Salman
Tsai, Hsin-Zon
Taniguchi, Takashi
Watanabe, Kenji
Zettl, Alex
Wang, Feng
Crommie, Michael F.
Rodriguez Nieva, Joaquin Francisco
Levitov, Leonid
author_sort Lee, Juwon
collection MIT
description Electrostatic confinement of charge carriers in graphene is governed by Klein tunnelling, a relativistic quantum process in which particle–hole transmutation leads to unusual anisotropic transmission at p–n junction boundaries. Reflection and transmission at these boundaries affect the quantum interference of electronic waves, enabling the formation of novel quasi-bound states. Here we report the use of scanning tunnelling microscopy to map the electronic structure of Dirac fermions confined in quantum dots defined by circular graphene p–n junctions. The quantum dots were fabricated using a technique involving local manipulation of defect charge within the insulating substrate beneath a graphene monolayer13. Inside such graphene quantum dots we observe resonances due to quasi-bound states and directly visualize the quantum interference patterns arising from these states. Outside the quantum dots Dirac fermions exhibit Friedel oscillation-like behaviour. Bolstered by a theoretical model describing relativistic particles in a harmonic oscillator potential, our findings yield insights into the spatial behaviour of electrostatically confined Dirac fermions.
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spelling mit-1721.1/1100152022-09-30T08:42:32Z Imaging electrostatically confined Dirac fermions in graphene quantum dots Lee, Juwon Wong, Dillon Velasco Jr, Jairo Kahn, Salman Tsai, Hsin-Zon Taniguchi, Takashi Watanabe, Kenji Zettl, Alex Wang, Feng Crommie, Michael F. Rodriguez Nieva, Joaquin Francisco Levitov, Leonid Massachusetts Institute of Technology. Department of Physics Rodriguez Nieva, Joaquin Francisco Levitov, Leonid Electrostatic confinement of charge carriers in graphene is governed by Klein tunnelling, a relativistic quantum process in which particle–hole transmutation leads to unusual anisotropic transmission at p–n junction boundaries. Reflection and transmission at these boundaries affect the quantum interference of electronic waves, enabling the formation of novel quasi-bound states. Here we report the use of scanning tunnelling microscopy to map the electronic structure of Dirac fermions confined in quantum dots defined by circular graphene p–n junctions. The quantum dots were fabricated using a technique involving local manipulation of defect charge within the insulating substrate beneath a graphene monolayer13. Inside such graphene quantum dots we observe resonances due to quasi-bound states and directly visualize the quantum interference patterns arising from these states. Outside the quantum dots Dirac fermions exhibit Friedel oscillation-like behaviour. Bolstered by a theoretical model describing relativistic particles in a harmonic oscillator potential, our findings yield insights into the spatial behaviour of electrostatically confined Dirac fermions. United States. Department of Energy. Office of Basic Energy Sciences (Contract DE-AC02-05CH11231) National Science Foundation (U.S.) (Award CMMI-1206512) 2017-06-19T16:43:31Z 2017-06-19T16:43:31Z 2016-06 2016-02 Article http://purl.org/eprint/type/JournalArticle 1745-2473 1745-2481 http://hdl.handle.net/1721.1/110015 Lee, Juwon et al. “Imaging Electrostatically Confined Dirac Fermions in Graphene Quantum Dots.” Nature Physics 12.11 (2016): 1032–1036. https://orcid.org/0000-0002-3023-396X https://orcid.org/0000-0002-4268-731X en_US http://dx.doi.org/10.1038/nphys3805 Nature Physics Creative Commons Attribution-Noncommercial-Share Alike http://creativecommons.org/licenses/by-nc-sa/4.0/ application/pdf Nature Publishing Group arXiv
spellingShingle Lee, Juwon
Wong, Dillon
Velasco Jr, Jairo
Kahn, Salman
Tsai, Hsin-Zon
Taniguchi, Takashi
Watanabe, Kenji
Zettl, Alex
Wang, Feng
Crommie, Michael F.
Rodriguez Nieva, Joaquin Francisco
Levitov, Leonid
Imaging electrostatically confined Dirac fermions in graphene quantum dots
title Imaging electrostatically confined Dirac fermions in graphene quantum dots
title_full Imaging electrostatically confined Dirac fermions in graphene quantum dots
title_fullStr Imaging electrostatically confined Dirac fermions in graphene quantum dots
title_full_unstemmed Imaging electrostatically confined Dirac fermions in graphene quantum dots
title_short Imaging electrostatically confined Dirac fermions in graphene quantum dots
title_sort imaging electrostatically confined dirac fermions in graphene quantum dots
url http://hdl.handle.net/1721.1/110015
https://orcid.org/0000-0002-3023-396X
https://orcid.org/0000-0002-4268-731X
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