2025/03/10 by Nguyen, Dung Xuan, Son, Dam Thanh
#FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mesoscale and Nanoscale Physics (cond-mat.mes-hall) #Strongly Correlated Electrons (cond-mat.str-el)
paper · doi:10.48550/arxiv.2503.06914
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 ν=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.