Interaction Driven Quantum Hall Wedding cake-like Structures in Graphene Quantum Dots

Abstract

Quantum-relativistic matter is ubiquitous in nature; however it is notoriously difficult to probe. The ease with which external electric and magnetic fields can be introduced in graphene opens a door to creating a table-top prototype of strongly confined relativistic matter. Here, through a detailed spectroscopic mapping, we provide a spatial visualization of the interplay between spatial and magnetic confinement in a circular graphene resonator. We directly observe the development of a multi-tiered "wedding cake"-like structure of concentric regions of compressible/incompressible quantum Hall states, a signature of electron interactions in the system. Solid-state experiments can therefore yield insights into the behaviour of quantum-relativistic matter under extreme conditions.

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• Edge Channels of Broken-Symmetry Quantum Hall States in Graphene probed by Atomic Force Microscopy
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• Nanometer-scale lateral p-n junctions in graphene/$\alpha$-RuCl${}_3$ heterostructures
• Relativistic Artificial Molecules Realized by Two Coupled Graphene Quantum Dots
• Orbital hybridization in graphene-based artificial atoms
• Breaking whispering-gallery modes of massless Dirac fermions in graphene quantum dots by Coulomb interaction
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• Spatial Confinement, Magnetic Localization and Their Interactions on Massless Dirac Fermions
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• Graphene whisperitronics: transducing whispering gallery modes into electronic transport
• Mapping quantum Hall edge states in graphene by scanning tunneling microscopy
• Berry-phase switch in electrostatically-confined topological surface states
• Optical flux pump in the quantum Hall regime
• Electronic confinement in quantum dots of twisted bilayer graphene
• Chaos based Berry phase detector
• Dirac fermions in armchair graphene nanoribbons trapped by electric quantum dots
• Reconfigurable edge-state engineering in graphene using LaAlO${}_3$/SrTiO${}_3$ nanostructures
• Tunable circular dipolelike system in graphene: Mixed electron-hole states
• Chiral spin channels in curved graphene $pn$ junctions
• Electronic analogue of Fourier optics with mass-less Dirac fermions scattered by quantum dot lattice
• Quantum Monte Carlo study of artificial triangular graphene quantum dots
• Quantum computation with hybrid parafermion-spin qubits
• Quantum Hall Transport Measurements of Lateral p-n Junctions Formed via Precise Spatial Photodoping of Graphene/hBN Heterostructures