Brown-Zak and Weiss oscillations in a gate-tunable graphene superlattice: A unified picture of miniband conductivity
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arXiv
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| Autores principales: | , , , , , , , , |
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| Formato: | Preprint |
| Publicado: |
2021
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| _version_ | 1866908816821452800 |
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| author | Huber, Robin Steffen, Max-Niklas Drienovsky, Martin Sandner, Andreas Watanabe, Kenji Taniguchi, Takashi Pfannkuche, Daniela Weiss, Dieter Eroms, Jonathan |
| author_facet | Huber, Robin Steffen, Max-Niklas Drienovsky, Martin Sandner, Andreas Watanabe, Kenji Taniguchi, Takashi Pfannkuche, Daniela Weiss, Dieter Eroms, Jonathan |
| contents | Electrons exposed to a two-dimensional (2D) periodic potential and a uniform, perpendicular magnetic field exhibit a fractal, self-similiar energy spectrum known as the Hofstadter butterfly. Recently, related high-temperature quantum oscillations (Brown-Zak oscillations) were discovered in graphene moiré systems, whose origin lie in the repetitive occurrence of extended minibands/magnetic Bloch states at rational fractions of magnetic flux per unit cell giving rise to an increase in band conductivity. In this work, we report on the experimental observation of band conductivity oscillations in an electrostatically defined and gate-tunable graphene superlattice, which are governed both by the internal structure of the Hofstadter butterfly (Brown-Zak oscillations) and by a commensurability relation between the cyclotron radius of electrons and the superlattice period (Weiss oscillations). We obtain a complete, unified description of band conductivity oscillations in two-dimensional superlattices, yielding a detailed match between theory and experiment. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2106_11328 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Brown-Zak and Weiss oscillations in a gate-tunable graphene superlattice: A unified picture of miniband conductivity Huber, Robin Steffen, Max-Niklas Drienovsky, Martin Sandner, Andreas Watanabe, Kenji Taniguchi, Takashi Pfannkuche, Daniela Weiss, Dieter Eroms, Jonathan Mesoscale and Nanoscale Physics Electrons exposed to a two-dimensional (2D) periodic potential and a uniform, perpendicular magnetic field exhibit a fractal, self-similiar energy spectrum known as the Hofstadter butterfly. Recently, related high-temperature quantum oscillations (Brown-Zak oscillations) were discovered in graphene moiré systems, whose origin lie in the repetitive occurrence of extended minibands/magnetic Bloch states at rational fractions of magnetic flux per unit cell giving rise to an increase in band conductivity. In this work, we report on the experimental observation of band conductivity oscillations in an electrostatically defined and gate-tunable graphene superlattice, which are governed both by the internal structure of the Hofstadter butterfly (Brown-Zak oscillations) and by a commensurability relation between the cyclotron radius of electrons and the superlattice period (Weiss oscillations). We obtain a complete, unified description of band conductivity oscillations in two-dimensional superlattices, yielding a detailed match between theory and experiment. |
| title | Brown-Zak and Weiss oscillations in a gate-tunable graphene superlattice: A unified picture of miniband conductivity |
| topic | Mesoscale and Nanoscale Physics |
| url | https://arxiv.org/abs/2106.11328 |