Controllable, driven phase transitions in the Fractional quantum Hall states in bilayer graphene

Abstract

Here we report from our theoretical studies that in biased bilayer graphene, one can induce phase transitions from an incompressible fractional quantum Hall state to a compressible state by tuning the bandgap at a given electron density. The nature of such phase transitions is different for weak and strong inter-layer coupling. Although for strong coupling more levels interact there are lesser number of transitions than for the weak coupling case. The intriguing scenario of tunable phase transitions in the fractional quantum Hall states is unique to bilayer graphene and never before existed in conventional semiconductor systems.

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Cited by in corpus (34)

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• Electron-Hole Asymmetric Integer and Fractional Quantum Hall Effect in Bilayer Graphene
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• Fractional Quantum Hall Phase Transitions and Four-flux Composite Fermions in Graphene
• A Stable Pfaffian State in Bilayer Graphene
• Insulating state in tetralayers reveals an even-odd interaction effect in multilayer graphene
• Topological Phases in the Zeroth Landau Level of Bilayer Graphene
• Spontaneous polarization of composite fermions in the $n=1$ Landau level of graphene
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• Traits and Characteristics of Interacting Dirac fermions in Monolayer and Bilayer Graphene
• Aspects of Anisotropic Fractional Quantum Hall Effect in Phosphorene
• Electrically tunable charge and spin transitions in Landau levels of interacting Dirac fermions in trilayer graphene
• Understanding the Missing Fractional Quantum Hall States in ZnO
• Interaction-induced insulating state in thick multilayer graphene
• Incompressible States of Dirac Fermions in Graphene with Anisotropic Interactions
• The Pfaffian state in an electron gas with small Landau level gaps
• Long Range Coulomb Interaction and the Majorana Fermions
• Tunability of the Fractional Quantum Hall States in Buckled Dirac Materials
• Interaction-Driven Distinctive Electronic States of Artificial Atoms at the ZnO Interface
• Fractional Quantum Hall Effect in Hofstadter Butterflies of Dirac Fermions
• Competing Laughlin state and Wigner crystal in bilayer graphene
• Spin Transitions in Graphene Butterflies at an Integer Filling Factor
• Exotic Bilayer Crystals in a Strong Magnetic Field
• Graphene, Nobel Prize and All that Jazz
• Quantum Hall ferromagnets and transport properties of buckled Dirac materials
• Excitation Gap of Fractal Quantum Hall States in Graphene
• Fractal Butterflies of Chiral Fermions in Bilayer Graphene: Phase Transitions and Emergent Properties
• Interaction-driven quantum phase transitions between topological and crystalline orders of electrons