4 years ago

Counter-propagating Fractional Hall states in mirror-symmetric Dirac semi-metals.

Yafis Barlas

The Landau bands of mirror symmetric 2D Dirac semi-metals (for example odd-layers of ABA-graphene) can be identified by their parity with respect to mirror symmetry. This symmetry facilitates a new class of counter-propagating Hall states at opposite but equal electron and hole filling factors $|\nu_{\pm}|=1/m$ ({\it m} odd). Here, we propose a Laughlin-like correlated liquid wavefunction, at the charge neutrality point, that exhibits fractionally charged quasi-particle/hole pair excitation of opposite parity. Using a bosonized one-dimensional edge state theory, we show that the longitudinal conductance of this state, $\sigma_{xx} = 2e^2/(m h)$, is robust to short-ranged inter-mode interactions.

Publisher URL: http://arxiv.org/abs/1711.05727

DOI: arXiv:1711.05727v1

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