TY - UNPB
T1 - Interaction Induced Quantum Valley Hall Effect in Graphene
AU - Marino, E.C.
AU - Nascimento, L.O.
AU - Alves, Van Sérgio
AU - de Morais Smith, C.
PY - 2014
Y1 - 2014
N2 - We use pseudo-quantum electrodynamics in order to describe the full electromagnetic interaction of the p electrons in graphene in a consistent 2D formulation. We first consider the effect of this interaction in the vacuum polarization tensor or, equivalently, in the current correlator. This allows us to obtain the T→0 conductivity after a smooth zero-frequency limit is taken in Kubo’s formula. Thereby, we obtain the usual expression for the minimal conductivity plus corrections due to the interaction that bring it closer to the experimental value. We then predict the onset of an interaction-driven spontaneous quantum valley Hall effect below an activation temperature of the order of 2 K. The transverse (Hall) valley conductivity is evaluated exactly and shown to coincide with the one in the usual quantum Hall effect. Finally, by considering the effects of pseudo-quantum electrodynamics, we show that the electron self-energy is such that a set of P - and T-symmetric gapped electron energy eigenstates are dynamically generated, in association with the quantum valley Hall effect.
AB - We use pseudo-quantum electrodynamics in order to describe the full electromagnetic interaction of the p electrons in graphene in a consistent 2D formulation. We first consider the effect of this interaction in the vacuum polarization tensor or, equivalently, in the current correlator. This allows us to obtain the T→0 conductivity after a smooth zero-frequency limit is taken in Kubo’s formula. Thereby, we obtain the usual expression for the minimal conductivity plus corrections due to the interaction that bring it closer to the experimental value. We then predict the onset of an interaction-driven spontaneous quantum valley Hall effect below an activation temperature of the order of 2 K. The transverse (Hall) valley conductivity is evaluated exactly and shown to coincide with the one in the usual quantum Hall effect. Finally, by considering the effects of pseudo-quantum electrodynamics, we show that the electron self-energy is such that a set of P - and T-symmetric gapped electron energy eigenstates are dynamically generated, in association with the quantum valley Hall effect.
U2 - 10.48550/arXiv.1309.5879
DO - 10.48550/arXiv.1309.5879
M3 - Preprint
VL - 5
SP - 1
EP - 13
BT - Interaction Induced Quantum Valley Hall Effect in Graphene
PB - arXiv
ER -