Spin-flip and spin-wave excitations in arbitrarily polarized quantum Hall states

TL;DR

This paper investigates spin-flip and spin-wave excitations in quantum Hall states with arbitrary polarization, revealing that certain excitations are unaffected by gauge fluctuations and are consistent across integer and fractional states.

Contribution

It demonstrates that spin-flip correlation functions remain unrenormalized by gauge fluctuations, linking excitations in integer and fractional quantum Hall states with the same numerator.

Findings

Spin-flip correlation functions are not renormalized by gauge fluctuations.

Excitations are identical for integer and fractional states with the same numerator.

Fully and partially polarized states only have spin-wave excitations.

Abstract

We study spin-flip and spin-wave excitations for arbitrarily polarized quantum Hall states by employing a fermionic Chern-Simons gauge theory in the low Zeeman energy limit. We show that the spin-flip correlation functions do not get renormalized by the fluctuations of Chern-Simons gauge field. As a consequence, the excitations for a given integer quantum Hall state are identical to fractional quantum Hall states in the lowest Landau level having the same numerator equal to the integer quantum Hall state. Fully and partially polarized states possess only spin-wave excitations while spin-flip excitations are possible for all states, irrespective of their polarizations.