Refermionized theory of the edge modes of a fractional quantum Hall cloud
Year: 2025
Authors: Nardin A., Carusotto I.
Autors Affiliation: Univ Trento, Pitaevskii BEC Ctr, INO CNR, I-38123 Trento, Italy; Univ Trento, Dipartimento Fis, I-38123 Trento, Italy.
Abstract: Making use of refermionization techniques, we map the nonlinear chiral Luttinger liquid model of the edge modes of a spatially confined fractional quantum Hall cloud developed in our recent work [Nardin et al., Phys. Rev. A 107, 033320 (2023)] onto a one-dimensional system of massive and interacting chiral fermions, whose mass and interactions are set by the filling factor of the quantum Hall fluid and the shape of the external confining potential at the position of the edge. As an example of the predictive power of the refermionized theory, we report a detailed study of the dynamic structure factor and of the spectral function of a fractional quantum Hall cloud. Among other features, our refermionized theory provides a physical understanding of the effective decay of the edge excitations and of the universal power-law exponents at the thresholds of the dynamic structure factor. The quantitative accuracy of the refermionized theory is validated against a full two-dimensional calculation based on a combination of exact diagonalization and Monte Carlo sampling.
Journal/Review: PHYSICAL REVIEW A
Volume: 112 (6) Pages from: 63302-1 to: 63302-19
More Information: We acknowledge financial support from the Provincia Autonoma di Trento, from the Q@TN initiative, and from PNRR MUR Project No. PE0000023-NQSTI, co-funded by the European Union-NextGeneration EU. Illuminating discussions with Leonardo Mazza and Daniele De Bernardis are warmly acknowledged.KeyWords: Chiral Luttinger Liquid; Excitations; States; Statistics; Bosons; FluidDOI: 10.1103/2jzb-k48jCitations: 1data from “WEB OF SCIENCE” (of Thomson Reuters) are update at: 2026-01-25References taken from IsiWeb of Knowledge: (subscribers only)
