The Diagonal Affine Coset Construction of the Z_k Parafermion Hall States
Lachezar S. Georgiev
TL;DR
This paper constructs Z_k parafermions via diagonal affine cosets and applies them to quantum Hall states, enabling analysis of pairing rules, symmetries, and persistent currents in mesoscopic systems.
Contribution
It introduces a novel diagonal affine coset construction of Z_k parafermions and applies it to quantum Hall effect analysis.
Findings
Derived pairing rules and modular S-matrices for Z_k parafermions
Analyzed W_k and quantum group symmetries in the context of quantum Hall states
Computed mesoscopic chiral persistent currents with Aharonov-Bohm flux
Abstract
We construct the Z_k parafermions as diagonal affine cosets and apply them to the quantum Hall effect. This realization is particularly convenient for the analysis of the Z_k pairing rules, the modular S-matrices, the W_k symmetry and quantum group symmetry. The results are used for the computation of the mesoscopic chiral persistent currents in presence of Aharonov-Bohm flux.
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Taxonomy
TopicsTopological Materials and Phenomena · Quantum and electron transport phenomena · Quantum many-body systems