Finite-temperature effective boundary theory of the quantized thermal Hall effect

The Quantized Hall Effect

The Quantized Hall Effect

This variation on a classical phenomenon makes it possible, even in an irregular sample, to measure fundamental constants with an accuracy rivaling that of the most precise measurements yet made F ew areas of modern science have effect, a planar sample of conductive been studied as intensively as the physics of semiconducting mate-material is placed in a magnetic field and thus obtain quantitie...

Quantized thermal transport in the fractional quantum Hall effect

We analyze thermal transport in the fractional quantum Hall effect ~FQHE!, employing a Luttinger liquid model of edge states. Impurity mediated interchannel scattering events are incorporated in a hydrodynamic description of heat and charge transport. The thermal Hall conductance KH is shown to provide universal characterization of the FQHE state, and reveals nontrivial information about the ed...

Effective Field Theory of Fractional Quantized Hall Nematics

We present a Landau-Ginzburg theory for a fractional quantized Hall nematic state and the transition to it from an isotropic fractional quantum Hall state. This justifies Lifshitz-Chern-Simons theory – which is shown to be its dual – on a more microscopic basis and enables us to compute a ground state wave function in the symmetry-broken phase. In such a state of matter, the Hall resistance rem...

Finite-temperature fractional quantum Hall effect.

We investigate fractional quantum Hall effect at finite temperature using a fermion Chern-Simons field theoretical approach. In the absence of impurity scattering, the essential aspects of fractional quantum Hall effect, such as the quantization of Hall conductance, as well as quasi-particle charge and statistics are unrenormalized by thermal fluctuations. On the other hand, we find that the lo...