Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Universal edge transport in interacting Hall systems   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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The categories of this paper are: econ
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The categories of this paper are: solv-int
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The categories of this paper are: bayes-an
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The categories of this paper are: q-alg
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The categories of this paper are: ao-sci
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The categories of this paper are: gr-qc
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The categories of this paper are: acc-phys
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The categories of this paper are: alg-geom
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The categories of this paper are: mtrl-th
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The categories of this paper are: hep-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: hep-ex
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The categories of this paper are: cmp-lg
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The categories of this paper are: chem-ph
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The categories of this paper are: eess
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The categories of this paper are: chao-dyn