## This content will become publicly available on July 1, 2020

# Prediction of a Non-Abelian Fractional Quantum Hall State with $f$ -Wave Pairing of Composite Fermions in Wide Quantum Wells

- Authors:

- Publication Date:

- Sponsoring Org.:
- USDOE

- OSTI Identifier:
- 1546458

- Grant/Contract Number:
- SC0005042

- Resource Type:
- Publisher's Accepted Manuscript

- Journal Name:
- Physical Review Letters

- Additional Journal Information:
- Journal Name: Physical Review Letters Journal Volume: 123 Journal Issue: 1; Journal ID: ISSN 0031-9007

- Publisher:
- American Physical Society

- Country of Publication:
- United States

- Language:
- English

### Citation Formats

```
Faugno, W. N., Balram, Ajit C., Barkeshli, Maissam, and Jain, J. K. Prediction of a Non-Abelian Fractional Quantum Hall State with f -Wave Pairing of Composite Fermions in Wide Quantum Wells. United States: N. p., 2019.
Web. doi:10.1103/PhysRevLett.123.016802.
```

```
Faugno, W. N., Balram, Ajit C., Barkeshli, Maissam, & Jain, J. K. Prediction of a Non-Abelian Fractional Quantum Hall State with f -Wave Pairing of Composite Fermions in Wide Quantum Wells. United States. doi:10.1103/PhysRevLett.123.016802.
```

```
Faugno, W. N., Balram, Ajit C., Barkeshli, Maissam, and Jain, J. K. Tue .
"Prediction of a Non-Abelian Fractional Quantum Hall State with f -Wave Pairing of Composite Fermions in Wide Quantum Wells". United States. doi:10.1103/PhysRevLett.123.016802.
```

```
@article{osti_1546458,
```

title = {Prediction of a Non-Abelian Fractional Quantum Hall State with f -Wave Pairing of Composite Fermions in Wide Quantum Wells},

author = {Faugno, W. N. and Balram, Ajit C. and Barkeshli, Maissam and Jain, J. K.},

abstractNote = {},

doi = {10.1103/PhysRevLett.123.016802},

journal = {Physical Review Letters},

number = 1,

volume = 123,

place = {United States},

year = {2019},

month = {7}

}

Free Publicly Available Full Text

This content will become publicly available on July 1, 2020

Publisher's Version of Record

Other availability

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:

##
Parton construction of a wave function in the anti-Pfaffian phase

journal, July 2018

- Balram, Ajit C.; Barkeshli, Maissam; Rudner, Mark S.
- Physical Review B, Vol. 98, Issue 3

##
Is the Composite Fermion a Dirac Particle?

journal, September 2015

- Son, Dam Thanh
- Physical Review X, Vol. 5, Issue 3

##
Statistics of Quasiparticles and the Hierarchy of Fractional Quantized Hall States

journal, April 1984

- Halperin, B. I.
- Physical Review Letters, Vol. 52, Issue 18

##
Observation of Chiral Luttinger Behavior in Electron Tunneling into Fractional Quantum Hall Edges

journal, September 1996

- Chang, A. M.; Pfeiffer, L. N.; West, K. W.
- Physical Review Letters, Vol. 77, Issue 12

##
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

##
Quantized thermal transport in the fractional quantum Hall effect

journal, June 1997

- Kane, C. L.; Fisher, Matthew P. A.
- Physical Review B, Vol. 55, Issue 23

##
Fermi-liquid-like state in a half-filled Landau level

journal, February 1994

- Rezayi, E.; Read, N.
- Physical Review Letters, Vol. 72, Issue 6

##
Effective theories of the fractional quantum Hall effect: Hierarchy construction

journal, November 1990

- Blok, B.; Wen, X. G.
- Physical Review B, Vol. 42, Issue 13

##
Transition from Abelian to non-Abelian quantum liquids in the second Landau level

journal, July 2009

- Wójs, Arkadiusz
- Physical Review B, Vol. 80, Issue 4

##
Spin polarization of composite fermions and particle-hole symmetry breaking

journal, August 2014

- Liu, Yang; Hasdemir, S.; Wójs, A.
- Physical Review B, Vol. 90, Issue 8

##
Fractional quantum Hall effect in graphene: Quantitative comparison between theory and experiment

journal, August 2015

- Balram, Ajit C.; Tőke, Csaba; Wójs, A.
- Physical Review B, Vol. 92, Issue 7

##
Shift and spin vector: New topological quantum numbers for the Hall fluids

journal, August 1992

- Wen, X. G.; Zee, A.
- Physical Review Letters, Vol. 69, Issue 6

##
Numerical exploration of trial wave functions for the particle-hole-symmetric Pfaffian

journal, August 2018

- Mishmash, Ryan V.; Mross, David F.; Alicea, Jason
- Physical Review B, Vol. 98, Issue 8

##
Spontaneous Magnetization of Composite Fermions

journal, December 1999

- Park, K.; Jain, J. K.
- Physical Review Letters, Vol. 83, Issue 26

##
Incompressible quantum Hall states

journal, October 1989

- Jain, J.
- Physical Review B, Vol. 40, Issue 11

##
Quasi-Particle Properties from Tunneling in the Formula Fractional Quantum Hall State

journal, May 2008

- Radu, I. P.; Miller, J. B.; Marcus, C. M.
- Science, Vol. 320, Issue 5878

##
Observed quantization of anyonic heat flow

journal, April 2017

- Banerjee, Mitali; Heiblum, Moty; Rosenblatt, Amir
- Nature, Vol. 545, Issue 7652

##
Entangled Pauli principles: The DNA of quantum Hall fluids

journal, October 2018

- Bandyopadhyay, Sumanta; Chen, Li; Ahari, Mostafa Tanhayi
- Physical Review B, Vol. 98, Issue 16

##
Theory of the half-filled Landau level

journal, March 1993

- Halperin, B. I.; Lee, Patrick A.; Read, Nicholas
- Physical Review B, Vol. 47, Issue 12

##
Microscopic wave functions for the fractional quantized Hall states at $\nu =\frac{2}{5}\mathrm{and}\frac{2}{7}$

journal, August 1986

- Morf, R.; d'Ambrumenil, N.; Halperin, B. I.
- Physical Review B, Vol. 34, Issue 4

##
Particle-Hole Symmetry and the Pfaffian State

journal, December 2007

- Levin, Michael; Halperin, Bertrand I.; Rosenow, Bernd
- Physical Review Letters, Vol. 99, Issue 23

##
Observation of a Fractional Quantum Hall State at $\nu =1/4$ in a Wide GaAs Quantum Well

journal, December 2008

- Luhman, D. R.; Pan, W.; Tsui, D. C.
- Physical Review Letters, Vol. 101, Issue 26

##
Realistic calculations of correlated incompressible electronic states in GaAs- ${\mathrm{Al}}_{\mathrm{x}}$ ${\mathrm{Ga}}_{1\mathrm{-}\mathrm{x}}$ As heterostructures and quantum wells

journal, March 1997

- Ortalano, M. W.; He, Song; Das Sarma, S.
- Physical Review B, Vol. 55, Issue 12

##
Particle-Hole Symmetry and the $\nu =\frac{5}{2}$ Quantum Hall State

journal, December 2007

- Lee, Sung-Sik; Ryu, Shinsei; Nayak, Chetan
- Physical Review Letters, Vol. 99, Issue 23

##
Half-integral spin-singlet quantum Hall effect

journal, November 1993

- Belkhir, L.; Wu, X. G.; Jain, J. K.
- Physical Review B, Vol. 48, Issue 20

##
Effective theories of the fractional quantum Hall effect at generic filling fractions

journal, November 1990

- Blok, B.; Wen, X. G.
- Physical Review B, Vol. 42, Issue 13

##
Fractional quantum Hall state at $\nu ={\scriptstyle \frac{1}{4}}$ in a wide quantum well

journal, June 2009

- Papić, Z.; Möller, G.; Milovanović, M. V.
- Physical Review B, Vol. 79, Issue 24

##
Measurement of filling factor 5/2 quasiparticle interference with observation of charge e/4 and e/2 period oscillations

journal, May 2009

- Willett, R. L.; Pfeiffer, L. N.; West, K. W.
- Proceedings of the National Academy of Sciences, Vol. 106, Issue 22

##
Non-Abelian Parton Fractional Quantum Hall Effect in Multilayer Graphene

journal, July 2017

- Wu, Ying-Hai; Shi, Tao; Jain, Jainendra K.
- Nano Letters, Vol. 17, Issue 8

##
Nonabelions in the fractional quantum hall effect

journal, August 1991

- Moore, Gregory; Read, Nicholas
- Nuclear Physics B, Vol. 360, Issue 2-3

##
Alternation and interchange of e/4 and e/2 period interference oscillations consistent with filling factor 5/2 non-Abelian quasiparticles

journal, November 2010

- Willett, R. L.; Pfeiffer, L. N.; West, K. W.
- Physical Review B, Vol. 82, Issue 20

##
Evidence for Developing Fractional Quantum Hall States at Even Denominator $1/2$ and $1/4$ Fillings in Asymmetric Wide Quantum Wells

journal, December 2009

- Shabani, J.; Gokmen, T.; Chiu, Y. T.
- Physical Review Letters, Vol. 103, Issue 25

##
Quantitative study of large composite-fermion systems

journal, February 1997

- Jain, J. K.; Kamilla, R. K.
- Physical Review B, Vol. 55, Issue 8

##
Observation of an even-denominator quantum number in the fractional quantum Hall effect

journal, October 1987

- Willett, R.; Eisenstein, J. P.; Störmer, H. L.
- Physical Review Letters, Vol. 59, Issue 15

##
Non-Abelian adiabatic statistics and Hall viscosity in quantum Hall states and ${p}_{x}+i{p}_{y}$ paired superfluids

journal, January 2009

- Read, N.
- Physical Review B, Vol. 79, Issue 4

##
Even denominator fractional quantum Hall states in higher Landau levels of graphene

journal, November 2018

- Kim, Youngwook; Balram, Ajit C.; Taniguchi, Takashi
- Nature Physics, Vol. 15, Issue 2

##
Theory of the edge States in Fractional Quantum hall Effects

journal, May 1992

- Wen, Xiao-Gang
- International Journal of Modern Physics B, Vol. 06, Issue 10

##
New fractional quantum Hall state in double-layer two-dimensional electron systems

journal, March 1992

- Eisenstein, J. P.; Boebinger, G. S.; Pfeiffer, L. N.
- Physical Review Letters, Vol. 68, Issue 9

##
Non-Abelian statistics in the fractional quantum Hall states

journal, February 1991

- Wen, X. G.
- Physical Review Letters, Vol. 66, Issue 6

##
Theory of the fractional quantum Hall effect

journal, April 1990

- Jain, J. K.
- Physical Review B, Vol. 41, Issue 11

##
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

##
Continuum of Chiral Luttinger Liquids at the Fractional Quantum Hall Edge

journal, February 1998

- Grayson, M.; Tsui, D. C.; Pfeiffer, L. N.
- Physical Review Letters, Vol. 80, Issue 5

##
Phase diagrams for the stability of the $\nu =\frac{1}{2}$ fractional quantum Hall effect in electron systems confined to symmetric, wide GaAs quantum wells

journal, December 2013

- Shabani, J.; Liu, Yang; Shayegan, M.
- Physical Review B, Vol. 88, Issue 24

##
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

##
Chiral Luttinger liquids at the fractional quantum Hall edge

journal, November 2003

- Chang, A. M.
- Reviews of Modern Physics, Vol. 75, Issue 4

##
Paired states of fermions in two dimensions with breaking of parity and time-reversal symmetries and the fractional quantum Hall effect

journal, April 2000

- Read, N.; Green, Dmitry
- Physical Review B, Vol. 61, Issue 15

##
Correlated States of Electrons in Wide Quantum Wells at Low Fillings: The Role of Charge Distribution Symmetry

journal, July 2009

- Shabani, J.; Gokmen, T.; Shayegan, M.
- Physical Review Letters, Vol. 103, Issue 4

##
Non-Abelian States with Negative Flux: A New Series of Quantum Hall States

journal, July 2007

- Jolicoeur, Th.
- Physical Review Letters, Vol. 99, Issue 3

##
Composite-fermion approach for the fractional quantum Hall effect

journal, July 1989

- Jain, J. K.
- Physical Review Letters, Vol. 63, Issue 2

##
Landau-Level Mixing and Particle-Hole Symmetry Breaking for Spin Transitions in the Fractional Quantum Hall Effect

journal, September 2016

- Zhang, Yuhe; Wójs, A.; Jain, J. K.
- Physical Review Letters, Vol. 117, Issue 11

##
Observation of half-integer thermal Hall conductance

journal, June 2018

- Banerjee, Mitali; Heiblum, Moty; Umansky, Vladimir
- Nature, Vol. 559, Issue 7713

##
On Classification of Modular Tensor Categories

journal, August 2009

- Rowell, Eric; Stong, Richard; Wang, Zhenghan
- Communications in Mathematical Physics, Vol. 292, Issue 2

##
Exotic bilayer crystals in a strong magnetic field

journal, June 2018

- Faugno, W. N.; Duthie, A. J.; Wales, D. J.
- Physical Review B, Vol. 97, Issue 24