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arXiv · 1112.2729

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

Yafis Barlas·R. Cote·Maxime Rondeau
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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 $ν_{T} =\pm5,\pm4,\pm2,\pm1$ 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 $Δ_{LL}$. 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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Yafis Barlas, R. Cote, Maxime Rondeau. 2012-08-04. Quantum Hall to charge-density-wave phase transitions in ABC-trilayer graphene. https://doi.org/10.1103/physrevlett.109.126804

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