When the magnetic order is introduced into topological insulators (TIs), the time-reversal
symmetry (TRS) is broken, and the non-trivial topological surface is driven into a new …

Topological insulators are bulk electronic insulators with symmetry-protected gapless modes
on their surfaces,,,,. Breaking time-reversal symmetry in these systems via ferromagnetism …

The axion insulator which may exhibit an exotic quantized magnetoelectric effect,,,,, is one of
the most interesting quantum phases predicted for the three-dimensional topological …

On the space of three-dimensional conformal field theories with U (1) symmetry and a
chosen coupling to a background gauge field, there is a natural action of the group SL (2, Z) …

After decades of searching for the dissipationless transport in the absence of any external
magnetic field, quantum anomalous Hall effect (QAHE) was recently achieved in magnetic …

Experimental results on metal–insulator transitions and the anomalous properties of strongly
interacting two-dimensional electron systems are reviewed and critically analyzed. Special …

We calculate the electrical and thermal conductivities and the thermoelectric coefficient of a
class of strongly interacting 2+ 1-dimensional conformal field theories with anti-de Sitter …

We show how particle-vortex duality implies the existence of a large non-Abelian discrete
symmetry group that relates the electromagnetic response for dual two-dimensional systems …

Transitions among quantum Hall plateaux share a suite of remarkable experimental
features, such as semicircle laws and duality relations, whose accuracy and robustness are …

A bstract We study the response of a conserved current to external electromagnetic fields in
a holographic system with boundaries using the recently proposed AdS/BCFT (boundary …