Construction of a series of new $$\textit{ν}$$ = 2/5 fractional quantum Hall wave functions by conformal field theory
Abstract
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.
- Authors:
-
- Hubei Normal University, Huangshi (China)
- Florida State Univ., Tallahassee, FL (United States). National High Magnetic Field Lab. (MagLab)
- Publication Date:
- Research Org.:
- Princeton Univ., NJ (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Basic Energy Sciences (BES); National Science Foundation (NSF); State of Florida; National Natural Science Foundation of China (NSFC)
- OSTI Identifier:
- 1801541
- Grant/Contract Number:
- SC0002140; 11947027
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review B
- Additional Journal Information:
- Journal Volume: 102; Journal Issue: 11; Journal ID: ISSN 2469-9950
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; Materials Science; Physics
Citation Formats
Chen, Li, and Yang, Kun. Construction of a series of new $\textit{ν}$ = 2/5 fractional quantum Hall wave functions by conformal field theory. United States: N. p., 2020.
Web. doi:10.1103/physrevb.102.115132.
Chen, Li, & Yang, Kun. Construction of a series of new $\textit{ν}$ = 2/5 fractional quantum Hall wave functions by conformal field theory. United States. https://doi.org/10.1103/physrevb.102.115132
Chen, Li, and Yang, Kun. Tue .
"Construction of a series of new $\textit{ν}$ = 2/5 fractional quantum Hall wave functions by conformal field theory". United States. https://doi.org/10.1103/physrevb.102.115132. https://www.osti.gov/servlets/purl/1801541.
@article{osti_1801541,
title = {Construction of a series of new $\textit{ν}$ = 2/5 fractional quantum Hall wave functions by conformal field theory},
author = {Chen, Li and Yang, Kun},
abstractNote = {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.},
doi = {10.1103/physrevb.102.115132},
journal = {Physical Review B},
number = 11,
volume = 102,
place = {United States},
year = {Tue Sep 15 00:00:00 EDT 2020},
month = {Tue Sep 15 00:00:00 EDT 2020}
}
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