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arXiv · 1708.08517

Universal edge transport in interacting Hall systems

Giovanni Antinucci·Vieri Mastropietro·Marcello Porta
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Abstract

We study the edge transport properties of $2d$ 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.

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Giovanni Antinucci, Vieri Mastropietro, Marcello Porta. 2017-08-28. Universal edge transport in interacting Hall systems. https://doi.org/10.1007/s00220-018-3192-y

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