Construction of a series of new $\textit{ν}$ = 2/5 fractional quantum Hall wave functions by conformal field theory

Chen, Li; Yang, Kun

doi:10.1103/physrevb.102.115132

Title: Construction of a series of new $$\textit{ν}$$ = 2/5 fractional quantum Hall wave functions by conformal field theory

Journal Article · Tue Sep 15 00:00:00 EDT 2020 · Physical Review B

DOI:https://doi.org/10.1103/physrevb.102.115132· OSTI ID:1801541

^[1]; Yang, Kun ^[2]

Hubei Normal University, Huangshi (China)
Florida State Univ., Tallahassee, FL (United States). National High Magnetic Field Lab. (MagLab)

In this paper, a series of $$\textit{ν}$$ = 2/5 fractional quantum Hall wave functions are constructed from conformal field theory(CFT). They share the same topological properties with states constructed by Jain's composite fermion approach. Upon exact lowest Landau level (LLL) projection, some of Jain's composite fermion states would not survive if constraints on Landau level indices given in the appendices of this paper were not satisfied. By contrast, states constructed from CFT are always in LLL. These states are characterized by different topological shifts and multibody relative angular momenta. Further, as a by-product, in the appendices we prove the necessary conditions for general $$\textit{ν = p}$$/(2$$\textit{p}$$ + 1) composite fermion states to have nonvanishing LLL projection.

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Research Organization:: Princeton Univ., NJ (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES); National Science Foundation (NSF); State of Florida; National Natural Science Foundation of China (NSFC)

Grant/Contract Number:: SC0002140; 11947027

OSTI ID:: 1801541

Journal Information:: Physical Review B, Vol. 102, Issue 11; ISSN 2469-9950

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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