Bulletin of the American Physical Society
APS March Meeting 2023
Volume 68, Number 3
Las Vegas, Nevada (March 5-10)
Virtual (March 20-22); Time Zone: Pacific Time
Session Z25: Fractional Quantum Hall Effect 3: theory and experiment
11:30 AM–1:42 PM,
Friday, March 10, 2023
Room: Room 217/218
Sponsoring
Unit:
DCMP
Chair: Yue Sun, University of California, Berkeley
Abstract: Z25.00007 : Dissipative edge dynamics of FQH fluids*
12:42 PM–12:54 PM
Presenter:
Gustavo M Machado Monteiro
(City College of New York)
Authors:
Gustavo M Machado Monteiro
(City College of New York)
Dylan Reynolds
(CUNY)
Sriram Ganeshan
(City College of New York)
Recently it was shown that the Laughlin states of the fractional quantum hall effect, on a domain with boundaries, can be mapped to a hydrodynamic system with no-penetration and no-tangent stress boundary conditions, along with an additional constraint known as the Hall constraint [1]. The no-stress condition is derived from conservation of energy, and gives rise to conservation of charge at the boundary. In this work, we relax conservation of energy to allow for dissipation in the boundary, while retaining the gapped bulk dynamics. This modifies the no-stress condition and changes the edge current, leading to diffusive charge transport in the boundary. We present the formalism for edge dissipation in the context of fluid dynamics, and examine the linearized system. We also discuss possible extensions to a nonlinear analysis.
[1] G. M. Monteiro, V. Nair, and S. Ganeshan. Topological fluids and FQH edge dynamics. arXiv preprint arXiv:2203.06516 (2022).
*GMM was supported by the National Science Foundation under Grant OMA1936351. DR is supported by 21st century foundation startup award from CCNY. SG is supported by NSF CAREER Grant No. DMR-1944967 (SG).
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