TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.19.5.131
TI  - Spin of fractional quantum Hall neutral modes and “missing states” on a sphere
PY  - 2025/11/18
UR  - https://www.scipost.org/SciPostPhys.19.5.131
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 19
IS  - 5
SP  - 131
A1  - Nguyen, Dung Xuan
AU  - Son, Dam Thanh
AB  - A low-energy neutral quasiparticle in a fractional quantum Hall system appears in the latter's energy spectrum on a sphere as a series of many-body excited states labeled by the angular momentum $L$ and whose energy is a smooth function of $L$ in the limit of large sphere radius. We argue that the signature of a nonvanishing spin (intrinsic angular momentum) $s$ of the quasiparticle is the absence, in this series, of states with total angular momentum less than $s$. We reinterpret the missing of certain states, observed in an exact-diagonalization calculation of the spectrum of the $\nu=7/3$ FQH state in a wide quantum well as well as in many proposed wave functions for the excited states as a consequence of the spin-2 nature of the zero-momentum magnetoroton.
ER  -

@Article{10.21468/SciPostPhys.19.5.131,
	title={{Spin of fractional quantum Hall neutral modes and “missing states” on a sphere}},
	author={Dung Xuan Nguyen and Dam Thanh Son},
	journal={SciPost Phys.},
	volume={19},
	pages={131},
	year={2025},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.19.5.131},
	url={https://scipost.org/10.21468/SciPostPhys.19.5.131},
}