Abstract
We show here that an extension of the Hamiltonian theory developed by us over the years furnishes a composite fermion (CF) description of the state that is particle-hole (PH) symmetric, has a charge density that obeys the magnetic translation algebra of the lowest Landau level (LLL), and exhibits cherished ideas from highly successful wave functions, such as a neutral quasiparticle with a certain dipole moment related to its momentum. We also a provide an extension away from , which has the features from and implements the PH transformation on the LLL as an antiunitary operator with . This extension of our past work was inspired by Son, who showed that the CF may be viewed as a Dirac fermion on which the particle-hole transformation of LLL electrons is realized as time-reversal, and Wang and Senthil, who provided a very attractive interpretation of the CF as the bound state of a semion and antisemion of charge . Along the way, we also found a representation with all the features listed above except that now . We suspect it corresponds to an emergent charge-conjugation symmetry of the boson problem analyzed by Read.
- Received 23 October 2015
DOI:https://doi.org/10.1103/PhysRevB.93.085405
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