• Corpus ID: 244798719

# Integrability of the $\nu=4/3$ fractional quantum Hall edge states

@inproceedings{Hu2021IntegrabilityOT,
title={Integrability of the \$\nu=4/3\$ fractional quantum Hall edge states},
author={Yichen Hu and Biao Lian},
year={2021}
}
• Published 1 December 2021
• Physics
We investigate the homogeneous chiral edge theory of the ﬁlling ν = 4 / 3 fractional quantum Hall state, which is parameterized by a Luttinger liquid velocity matrix and an electron tunneling amplitude (ignoring irrelevant terms). We identify two solvable cases: one case where the theory gives two free chiral boson modes, and the other case where the theory yields one free charge 2 e √ 3 chiral fermion and two free chiral Bogoliubov (Majorana) fermions. For generic parameters, the energy…
1 Citations

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## References

SHOWING 1-10 OF 44 REFERENCES
Gapless boundary excitations in the quantum Hall states and in the chiral spin states.
• Wen
• Physics
Physical review. B, Condensed matter
• 1991
Under some general assumptions, the gapless excitations are shown to form a representation of the U(1) or SU(2) Kac-Moody algebras and to contribute to a specific heat with a linear tem- perature dependence.
Sharp and smooth boundaries of quantum Hall liquids.
• Physics
Physical review. B, Condensed matter
• 1994
It is found that, for strong confining potentials, the edge of a $\nu=1$ liquid is described by the $Z_F=1$ Fermi Liquid theory, even in the presence of interactions, a consequence of the chiral nature of the system.
The chiral SYK model
• Physics
Journal of High Energy Physics
• 2019
Abstract We study the generalization of the Sachdev-Ye-Kitaev (SYK) model to a 1 + 1 dimensional chiral SYK model of N flavors of right-moving chiral Majorana fermions with all-to-all random
Chiral Luttinger liquid and the edge excitations in the fractional quantum Hall states.
• Wen
• Physics
Physical review. B, Condensed matter
• 1990
The edge excitations are shown to form a new kind of state which is called the Chiral Luttinger Liquid (´LL), which clearly demonstrate the non-Fermi liquid behaviors of the FQH states.
Exact quantum scars in the chiral nonlinear Luttinger liquid
• Physics
Physical Review B
• 2022
While the chiral linear Luttinger liquid is integrable via bosonization, its non-linear counterpart does not admit for an analytic solution. In this work, we find a sub-extensive number of exact
Bulk-edge correspondence in (2 + 1)-dimensional Abelian topological phases
• Physics
• 2014
The same bulk two-dimensional topological phase can have multiple distinct, fully-chiral edge phases. We show that this can occur in the integer quantum Hall states at $\nu=8$ and 12, with
Interference of chiral Andreev edge states
• Physics
• 2019
The search for topological excitations such as Majorana fermions has spurred interest in the boundaries between distinct quantum states. Here, we explore an interface between two prototypical phases
Edge reconstruction in the fractional quantum Hall regime
• Physics
• 2003
The interplay of electron-electron interaction and confining potential can lead to the reconstruction of fractional quantum Hall edges. We have performed exact diagonalization studies on microscopic
Edge State Induced Andreev Oscillation in Quantum Anomalous Hall Insulator-Superconductor Junctions
• Physics
• 2016
We study the quantum Andreev oscillation induced by interference of the edge chiral Majorana fermions in junctions made of quantum anomalous Hall (QAH) insulators and superconductors (SCs). We show