Incompressible States of Dirac Fermions in Graphene with Anisotropic Interactions

Abstract

We report on the properties of incompressible states of Dirac fermions in graphene in the presence of anisotropic interactions and a quantizing magnetic field. We introduce the necessary formalism to incorporate the anisotropy in the system. The incopmpressible state in graphene is found to survive the anisotropy upto a critical value of the anisotropy parameter. The anisotropy also introduces two branches in the collective excitations of the corresponding Laughlin state. It strongly influences the short-range behavior of the pair-correlation functions in the incompressible ground state.

5 pages, 4 figures

References in corpus (8)

• Geometrical Description of the Fractional Quantum Hall Effect
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• Band mass anisotropy and the intrinsic metric of fractional quantum Hall systems
• Model anisotropic quantum Hall states
• Controllable, driven phase transitions in the Fractional quantum Hall states in bilayer graphene
• Fractional quantum Hall states in two-dimensional electron systems with anisotropic interactions
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• Probing the geometry of the Laughlin state
• Exact results for model wave functions of anisotropic composite fermions in the fractional quantum Hall effect
• Aspects of Anisotropic Fractional Quantum Hall Effect in Phosphorene
• Composite fermions in bands with N-fold rotational symmetry
• Existence of strong-pairing quantum Hall phase in bilayer cold atom systems with dipolar interactions
• Tunability of the Fractional Quantum Hall States in Buckled Dirac Materials
• Phase transition and intrinsic metric of the dipolar fermions in quantum Hall regime
• Fractional Quantum Hall Effect in Hofstadter Butterflies of Dirac Fermions
• Spin Transitions in Graphene Butterflies at an Integer Filling Factor
• Fractal Butterflies of Chiral Fermions in Bilayer Graphene: Phase Transitions and Emergent Properties