4.6 Article

Elementary excitations in fractional quantum Hall effect from classical constraints

期刊

NEW JOURNAL OF PHYSICS
卷 23, 期 1, 页码 -

出版社

IOP Publishing Ltd
DOI: 10.1088/1367-2630/abd49d

关键词

fractional quantum Hall effect; topological materials; strongly correlated systems

资金

  1. NTU Grant for Nanyang Assistant Professorship
  2. Danish National Research Foundation
  3. European Research Council (ERC) under the European Union Horizon 2020 Research and Innovation Programme [678862]
  4. Villum Foundation
  5. Institute of Mathematical Science's High Performance Computing center

向作者/读者索取更多资源

The study extends local exclusion conditions (LECs) from the ground state to construct the elementary excitations of quasiholes and quasielectrons in fractional quantum Hall (FQH) phases. It is found that the undressed quasielectron excitations obtained from LECs are topologically equivalent to those from composite fermion theory, revealing interesting connections between different FQH phases.
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.

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