Quantum Hall to charge-density-wave phase transitions in ABC-trilayer graphene

Abstract

ABC-stacked trilayer graphene's chiral band structure results in three ($n=0,1,2$) Landau level orbitals with zero kinetic energy. This unique feature has important consequences on the interaction driven states of the 12-fold degenerate (including spin and valley) N=0 Landau level. In particular, at many filling factors ${\nu }_T=\pm 5,\pm 4,\pm 2,\pm 1$ a quantum phase transition from a quantum Hall liquid state to a triangular charge density wave occurs as a function of the single-particle induced LL orbital splitting ${\Delta }_{LL}$. This phase transition should be characterized by a re-entrant integer quantum Hall effect with the Hall conductivity corresponding to the {\it adjacent} interaction driven integer quantum Hall plateau.

4+ pages

References in corpus (7)

• Quantum Hall Ferromagnetism in Graphene
• Landau Level Splitting in Graphene in High Magnetic Fields
• Band Structure of ABC-Stacked Graphene Trilayers
• Chiral Decomposition in the Electronic Structure of Graphene Multilayers
• Intra-Landau level Cyclotron Resonance in Bilayer Graphene
• Quantum Hall Effects in Graphene-Based Two-Dimensional Electron Systems
• Pseudo-zero-mode Landau levels and collective excitations in bilayer graphene

Cited by in corpus (15)

• Interacting electrons on trilayer honeycomb lattices
• Ferromagnetism in ABC-trilayer graphene
• High-magnetic-field Tunneling Spectra of ABC-Stacked Trilayer Graphene
• Observation of Chirality Transition of Quasiparticles at Stacking Solitons in Trilayer Graphene
• Intrinsic and substrate induced spin-orbit interaction in chirally stacked trilayer graphene
• Fine structure of the lowest Landau level in suspended trilayer graphene
• Valley-Polarized quantum Hall phase in a strain-controlled Dirac system
• Validity of the two-band model of bilayer and trilayer graphene in a magnetic field
• Orbital Lamb shift and mixing of the pseudo-zero-mode Landau levels in ABC-stacked trilayer graphene
• Excitation Gap of Fractal Quantum Hall States in Graphene
• Hofstadter-Moiré Butterfly in Twisted Trilayer Graphene
• Particle-hole symmetry and bifurcating ground state manifold in the quantum Hall ferromagnetic states of multilayer graphene
• Infrared spectroscopy of phase transitions in the lowest Landau levels of bilayer graphene
• Dynamical polarization in ABC-stacked multilayer graphene in a magnetic field
• Spontaneous Breaking of the SU(3) Flavor Symmetry in a Quantum Hall Valley Nematic