“School of Physic”
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| Paper IPM / Physic / 12339 |
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We investigate the possibility of the quantum Hall effect in the deformed honeycomb lattice. Static strain in the honeycomb lattice preserves the time reversal symmetry (TRS), and can be viewed as a valley dependent gauge field in the continuum limit. We calculate the response of the system to the valley magnetic field induced by strain and compute the valley Hall conductance. It is shown that the system exhibits a nontrivial response (nonzero Hall conductance) even in time reversal invariant (TRI) samples. We argue that a quantized current will be induced if we subject the system to a valley electric field by applying time dependent strain. A theory for the low energy excitations of the systems is developed. We show that the mutual Chern-Simons action describes the low energy theory of this system and also discuss the necessary details for observing such a behavior with a proposal for experiment.
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