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:
-
[1];
- 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}
}
Free Publicly Available Full Text
Publisher's Version of Record
Other availability
Search WorldCat to find libraries that may hold this journal
Save to My Library
You must Sign In or Create an Account in order to save documents to your library.
Works referenced in this record:
Hydrodynamic Electron Flow and Hall Viscosity
journal, June 2017
- Scaffidi, Thomas; Nandi, Nabhanila; Schmidt, Burkhard
- Physical Review Letters, Vol. 118, Issue 22
Is the Composite Fermion a Dirac Particle?
journal, September 2015
- Son, Dam Thanh
- Physical Review X, Vol. 5, Issue 3
Non-Abelian adiabatic statistics and Hall viscosity in quantum Hall states and paired superfluids
journal, January 2009
- Read, N.
- Physical Review B, Vol. 79, Issue 4
Anomalous Quantum Hall Effect: An Incompressible Quantum Fluid with Fractionally Charged Excitations
journal, May 1983
- Laughlin, R. B.
- Physical Review Letters, Vol. 50, Issue 18
Paired Hall states
journal, May 1992
- Greiter, Martin; Wen, X. G.; Wilczek, Frank
- Nuclear Physics B, Vol. 374, Issue 3
Repulsive interactions in quantum Hall systems as a pairing problem
journal, October 2013
- Ortiz, G.; Nussinov, Z.; Dukelsky, J.
- Physical Review B, Vol. 88, Issue 16
Transport Signatures of the Hall Viscosity
journal, November 2017
- Delacrétaz, Luca V.; Gromov, Andrey
- Physical Review Letters, Vol. 119, Issue 22
Viscous transport and Hall viscosity in a two-dimensional electron system
journal, October 2018
- Gusev, G. M.; Levin, A. D.; Levinson, E. V.
- Physical Review B, Vol. 98, Issue 16
Functional dependence of Hall viscosity induced transverse voltage in two-dimensional Fermi liquids
journal, January 2020
- Matthaiakakis, Ioannis; Rodríguez Fernández, David; Tutschku, Christian
- Physical Review B, Vol. 101, Issue 4
Quantum Hall hierarchy in a spherical geometry
journal, May 2013
- Kvorning, Thomas
- Physical Review B, Vol. 87, Issue 19
Coulomb gas approach to quantum Hall effect
journal, June 1991
- Cristofano, G.; Maiella, G.; Musto, R.
- Physics Letters B, Vol. 262, Issue 1
Fractional Quantization of the Hall Effect: A Hierarchy of Incompressible Quantum Fluid States
journal, August 1983
- Haldane, F. D. M.
- Physical Review Letters, Vol. 51, Issue 7
Beyond paired quantum Hall states: Parafermions and incompressible states in the first excited Landau level
journal, March 1999
- Read, N.; Rezayi, E.
- Physical Review B, Vol. 59, Issue 12
Quantum Hall physics: Hierarchies and conformal field theory techniques
journal, May 2017
- Hansson, T. H.; Hermanns, M.; Simon, S. H.
- Reviews of Modern Physics, Vol. 89, Issue 2
Search for exact local Hamiltonians for general fractional quantum Hall states
journal, December 2018
- Sreejith, G. J.; Fremling, M.; Jeon, Gun Sang
- Physical Review B, Vol. 98, Issue 23
Algebraic approach to the study of zero modes of Haldane pseudopotentials
journal, February 2015
- Chen, Li; Seidel, Alexander
- Physical Review B, Vol. 91, Issue 8
Stabilization of the Particle-Hole Pfaffian Order by Landau-Level Mixing and Impurities That Break Particle-Hole Symmetry
journal, August 2016
- Zucker, P. T.; Feldman, D. E.
- Physical Review Letters, Vol. 117, Issue 9
Generalized quantum Hall projection Hamiltonians
journal, February 2007
- Simon, Steven H.; Rezayi, E. H.; Cooper, Nigel R.
- Physical Review B, Vol. 75, Issue 7
The sixteenfold way and the quantum Hall effect at half-integer filling factors
journal, July 2019
- Ma, Ken K. W.; Feldman, D. E.
- Physical Review B, Vol. 100, Issue 3
Jain-2/5 parent Hamiltonian: Structure of zero modes, dominance patterns, and zero mode generators
journal, May 2017
- Chen, Li; Bandyopadhyay, Sumanta; Seidel, Alexander
- Physical Review B, Vol. 95, Issue 19
Classification of symmetric polynomials of infinite variables: Construction of Abelian and non-Abelian quantum Hall states
journal, June 2008
- Wen, Xiao-Gang; Wang, Zhenghan
- Physical Review B, Vol. 77, Issue 23
Nonlocal transport and the Hall viscosity of two-dimensional hydrodynamic electron liquids
journal, November 2017
- Pellegrino, Francesco M. D.; Torre, Iacopo; Polini, Marco
- Physical Review B, Vol. 96, Issue 19
Composite Fermions in the Hilbert Space of the Lowest Electronic Landau Level
journal, September 1997
- Jain, J. K.; Kamilla, R. K.
- International Journal of Modern Physics B, Vol. 11, Issue 22
Non-Abelian anyons and topological quantum computation
journal, September 2008
- Nayak, Chetan; Simon, Steven H.; Stern, Ady
- Reviews of Modern Physics, Vol. 80, Issue 3
Topological properties of Abelian and non-Abelian quantum Hall states classified using patterns of zeros
journal, October 2008
- Wen, Xiao-Gang; Wang, Zhenghan
- Physical Review B, Vol. 78, Issue 15
Composite fermions in Fock space: Operator algebra, recursion relations, and order parameters
journal, July 2019
- Chen, Li; Bandyopadhyay, Sumanta; Yang, Kun
- Physical Review B, Vol. 100, Issue 4
Slater Decomposition of Laughlin States
journal, December 1993
- Dunne, Gerald V.
- International Journal of Modern Physics B, Vol. 07, Issue 28
Vertex Operators and Quantum hall Effect
journal, February 1991
- Fubini, Sergio
- Modern Physics Letters A, Vol. 06, Issue 04
Pseudopotentials for multiparticle interactions in the quantum Hall regime
journal, May 2007
- Simon, Steven H.; Rezayi, E. H.; Cooper, Nigel R.
- Physical Review B, Vol. 75, Issue 19
Particle-Hole Symmetry and the Pfaffian State
journal, December 2007
- Levin, Michael; Halperin, Bertrand I.; Rosenow, Bernd
- Physical Review Letters, Vol. 99, Issue 23
Composite Fermion Theory of Exotic Fractional Quantum Hall Effect
journal, March 2015
- Jain, Jainendra K.
- Annual Review of Condensed Matter Physics, Vol. 6, Issue 1
Particle-Hole Symmetry and the Quantum Hall State
journal, December 2007
- Lee, Sung-Sik; Ryu, Shinsei; Nayak, Chetan
- Physical Review Letters, Vol. 99, Issue 23
Quantum Hall wave functions based on conformal field theories
journal, March 2010
- Simon, Steven H.; Rezayi, Edward H.; Regnault, Nicolas
- Physical Review B, Vol. 81, Issue 12
Hall viscosity, orbital spin, and geometry: Paired superfluids and quantum Hall systems
journal, August 2011
- Read, N.; Rezayi, E. H.
- Physical Review B, Vol. 84, Issue 8
Composite-fermion approach for the fractional quantum Hall effect
journal, July 1989
- Jain, J. K.
- Physical Review Letters, Vol. 63, Issue 2
Conformal Field Theory of Composite Fermions
journal, February 2007
- Hansson, T. H.; Chang, C. -C.; Jain, J. K.
- Physical Review Letters, Vol. 98, Issue 7
Dirac monopole without strings: Monopole harmonics
journal, May 1976
- Wu, Tai Tsun; Yang, Chen Ning
- Nuclear Physics B, Vol. 107, Issue 3
Landau level quantization on the sphere
journal, March 2011
- Greiter, Martin
- Physical Review B, Vol. 83, Issue 11
Nonabelions in the fractional quantum hall effect
journal, August 1991
- Moore, Gregory; Read, Nicholas
- Nuclear Physics B, Vol. 360, Issue 2-3
Composite-fermion wave functions as correlators in conformal field theory
journal, August 2007
- Hansson, T. H.; Chang, C. -C.; Jain, J. K.
- Physical Review B, Vol. 76, Issue 7
Quantitative study of large composite-fermion systems
journal, February 1997
- Jain, J. K.; Kamilla, R. K.
- Physical Review B, Vol. 55, Issue 8