Volume 132, Number 1, October 2020
|Number of page(s)||7|
|Published online||03 November 2020|
Non-linear edge dynamics of an integer quantum Hall fluid(a)
INO-CNR BEC Center and Dipartimento di Fisica, Università di Trento - I-38123 Trento, Italy
Received: 10 July 2020
Accepted: 1 October 2020
We report a theoretical study of the linear and nonlinear dynamics of edge excitations of an integer quantum Hall state of non-interacting fermions. New features beyond the chiral Luttinger liquid picture are anticipated to arise from the interplay of the curvature of the Landau level dispersion and of the Pauli exclusion principle. For long-wavelength perturbations, the microscopic numerical results are captured by a chiral nonlinear hydrodynamic equation including a density-dependent velocity term. In the wave-breaking regime, shock waves are found to be regularized into a complex ripple pattern by higher-order dispersive effects. Our results are of specific relevance for experiments with synthetic quantum matter, in particular ultracold atomic gases.
PACS: 05.30.Fk – Fermion systems and electron gas / 05.45.-a – Nonlinear dynamics and chaos / 73.43.-f – Quantum Hall effects
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