Gravity Dual of a Quantum Hall Plateau Transition

Understand

We show how to model the transition between distinct quantum Hall plateaus in terms of D-branes in string theory.

• A low energy theory of 2+1 dimensional fermions is obtained by considering the D3-D7 system, and the plateau transition corresponds to moving the branes through one another.
• We study the transition at strong coupling using gauge/gravity duality and the probe approximation.
• Strong coupling leads to a novel kind of plateau transition: at low temperatures the transition remains discontinuous due to the effects of dynamical symmetry breaking and mass generation, and at high temperatures is only partially smoothed out.