Abstract
Classical constraints on the reduced density matrix of quantum fluids in a single Landau level termed as local exclusion conditions (LECs) (Yang 2019 Phys. Rev. B 100 241302), have recently been shown to characterize the ground state of many fractional quantum Hall (FQH) phases. In this work, we extend the LEC construction to build the elementary excitations, namely quasiholes and quasielectrons, of these FQH phases. In particular, we elucidate the quasihole counting, categorize various types of quasielectrons, and construct their microscopic wave functions. Our extensive numerical calculations indicate that the undressed quasielectron excitations of the Laughlin state obtained from LECs are topologically equivalent to those obtained from the composite fermion theory. Intriguingly, the LEC construction unveils interesting connections between different FQH phases and offers a novel perspective on exotic states such as the Gaffnian and the Fibonacci state.
Highlights
Low lying elementary excitations in topologically ordered systems are fascinating objects that capture the essential topological features of the corresponding ground states
The quasihole model wave functions can be generated using the same set of local exclusion conditions (LECs) that determine the corresponding ground state
This can be achieved by imposing the highest weight (HW) condition on the truncated Hilbert space containing more orbitals than the ground state
Summary
Copenhagen, Denmark ∗ Author to whom any correspondence should be addressed
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