109 citations · 281 across the 5 of their papers we have counts for
5 papers
Unlocking new regimes in fractional quantum Hall effect with quaternions
Mytraya Gattu, J. K. Jain
We demonstrate that formulating the composite-fermion theory of the fractional quantum Hall (FQH) effect in terms of quaternions greatly expands its reach and opens the door into m…
Wavefunctionology: The Special Structure of Certain Fractional Quantum Hall Wavefunctions
Steven H. Simon
Certain fractional quantum Hall wavefunctions -- particularly including the Laughlin, Moore-Read, and Read-Rezayi wavefunctions -- have special structure that makes them amenable t…
Thirty Years of Composite Fermions and Beyond
J. K. Jain
This chapter appears in "Fractional Quantum Hall Effects: New Development," edited by B. I. Halperin and J. K. Jain (World Scientific, 2020). The chapter begins with a primer on co…
Interplay between fractional quantum Hall liquid and crystal phases at low filling
Zheng-Wei Zuo, Ajit C. Balram, Songyang Pu +4
The nature of the state at low Landau-level filling factors has been a longstanding puzzle in the field of the fractional quantum Hall effect. While theoretical calculations sugges…
Fractional Quantum Hall States in Low-Zeeman-Energy Limit
X. G. Wu, J. K. Jain
We investigate the spectrum of interacting electrons at arbitrary filling factors in the limit of vanishing Zeeman splitting. The composite fermion theory successfully explains the…