Interaction phenomena in graphene seen through quantum capacitance

Abstract

Capacitance measurements provide a powerful means of probing the density of states. The technique has proved particularly successful in studying 2D electron systems, revealing a number of interesting many-body effects. Here, we use large-area high-quality graphene capacitors to study behavior of the density of states in this material in zero and high magnetic fields. Clear renormalization of the linear spectrum due to electron-electron interactions is observed in zero field. Quantizing fields lead to splitting of the spin- and valley-degenerate Landau levels into quartets separated by interaction-enhanced energy gaps. These many-body states exhibit negative compressibility but the compressibility returns to positive in ultrahigh B. The reentrant behavior is attributed to a competition between field-enhanced interactions and nascent fractional states.

References in corpus (26)

• The electronic properties of graphene
• Two-Dimensional Gas of Massless Dirac Fermions in Graphene
• Experimental Observation of Quantum Hall Effect and Berry's Phase in Graphene
• Boron nitride substrates for high-quality graphene electronics
• Micrometer-scale ballistic transport in encapsulated graphene at room temperature
• Electron-Electron Interactions in Graphene: Current Status and Perspectives
• Cross-sectional imaging of individual layers and buried interfaces of graphene-based heterostructures and superlattices
• Dirac cones reshaped by interaction effects in suspended graphene
• Landau Level Splitting in Graphene in High Magnetic Fields
• Non-Fermi liquid behaviour of electrons in the half-filled honeycomb lattice (A renormalization group approach)
• Tunable metal-insulator transition in double-layer graphene heterostructures
• Multicomponent fractional quantum Hall effect in graphene
• Marginal Fermi liquid behavior from 2d Coulomb interaction
• Spin and valley quantum Hall ferromagnetism in graphene
• Density of states and zero Landau level probed through capacitance of graphene
• Chirality and Correlations in Graphene
• Graphene bubbles with controllable curvature
• Unconventional Sequence of Fractional Quantum Hall States in Suspended Graphene
• Electronic compressibility of layer polarized bilayer graphene
• Divergent resistance at the Dirac point in graphene: Evidence for a transition in a high magnetic field
• Measurement of the electronic compressibility of bilayer graphene
• Renormalization of Coulomb interaction in graphene: computing observable quantities
• Anomalously large capacitance of a plane capacitor with a two-dimensional electron gas
• Mobility Extraction and Quantum Capacitance Impact in High Performance Graphene Field-effect Transistor Devices
• Transconductance fluctuations as a probe for interaction induced quantum Hall states in graphene
• Giant capacitance of a plane capacitor with a two-dimensional electron gas in a magnetic field

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• Dynamical gap generation in 2D Dirac semimetal with deformed Dirac cone
• Nonlocal electrodynamics in Weyl semi-metals
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• Quantum Capacitance of Graphene Sheets and Nanoribbons
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