Universal edge transport in interacting Hall systems
Abstract
We study the edge transport properties of interacting Hall systems, displaying single-mode chiral edge currents. For this class of many-body lattice models, including for instance the interacting Haldane model, we prove the quantization of the edge charge conductance and the bulk-edge correspondence. Instead, the edge Drude weight and the edge susceptibility are interaction-dependent; nevertheless, they satisfy exact universal scaling relations, in agreement with the chiral Luttinger liquid theory. Moreover, charge and spin excitations differ in their velocities, giving rise to the spin-charge separation phenomenon. The analysis is based on exact renormalization group methods, and on a combination of lattice and emergent Ward identities. The invariance of the emergent chiral anomaly under the renormalization group flow plays a crucial role in the proof.
Cite
@article{arxiv.1708.08517,
title = {Universal edge transport in interacting Hall systems},
author = {Giovanni Antinucci and Vieri Mastropietro and Marcello Porta},
journal= {arXiv preprint arXiv:1708.08517},
year = {2018}
}
Comments
63 pages, 2 figures. Proof adapted to a larger class of hopping Hamiltonians. Minor corrections, typos fixed. Accepted for publication on Comm. Math. Phys