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

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

2011-12-12

arxiv.org/abs/1112.2729v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4+ pages

Scientific paper

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 $\nu_{T} =\pm5,\pm4,\pm2,\pm1$ 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.

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