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TT: Fachverband Tiefe Temperaturen
TT 83: Topology: Quantum Hall Systems
TT 83.5: Vortrag
Donnerstag, 12. März 2026, 16:00–16:15, HSZ/0105
Plasma mapping for the Moore-Read state in ideal Chern bands — •Qi Hu1, Saranyo Moitra1, Inti Sodemann Villadiego1, and Victor Gurarie2 — 1Institut für Theoretische Physik, Universität Leipzig, 04103 Leipzig, Germany — 2Department of Physics, CB390, University of Colorado, Boulder, Colorado 80309, USA
We construct an improved short distance regularization of the plasma mapping for the Moore-Read fractional quantum Hall state and also extend it from Landau levels to Aharonov-Casher ideal Chern bands, which are relevant in moire materials. This allows us to map correlations of the Moore-Read wave-function onto those of a classical statistical plasma with two components which in addition are coupled to a non-uniform neutralizing background. We exploit this to understand not only the universal topological properties of the Moore-Read state but also other details of their correlation functions. We will discuss the possibility of a phase transition from the plasma into novel dielectric states that can occur when the effective magnetic field in the Chern band becomes increasingly non-uniform.
Keywords: Fractional quantum Hall effect; Moore–Read (Pfaffian) state; Two-dimensional Coulomb plasma; Mesoscale and nanoscale physics