# In-plane electric fields and the $\nu =\frac{5}{2}$ fractional quantum Hall effect in a disk geometry

## Abstract

Not provided.

- Authors:

- Publication Date:

- Research Org.:
- Purdue Univ., West Lafayette, IN (United States)

- Sponsoring Org.:
- USDOE Office of Science (SC)

- OSTI Identifier:
- 1535880

- DOE Contract Number:
- SC0010544

- Resource Type:
- Journal Article

- Journal Name:
- Physical Review B

- Additional Journal Information:
- Journal Volume: 95; Journal Issue: 12; Journal ID: ISSN 2469-9950

- Publisher:
- American Physical Society (APS)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- Materials Science; Physics

### Citation Formats

```
Tylan-Tyler, Anthony, and Lyanda-Geller, Yuli.
```*In-plane electric fields and the ν=52 fractional quantum Hall effect in a disk geometry*. United States: N. p., 2017.
Web. doi:10.1103/physrevb.95.121302.

```
Tylan-Tyler, Anthony, & Lyanda-Geller, Yuli.
```*In-plane electric fields and the ν=52 fractional quantum Hall effect in a disk geometry*. United States. doi:10.1103/physrevb.95.121302.

```
Tylan-Tyler, Anthony, and Lyanda-Geller, Yuli. Wed .
"In-plane electric fields and the ν=52 fractional quantum Hall effect in a disk geometry". United States. doi:10.1103/physrevb.95.121302.
```

```
@article{osti_1535880,
```

title = {In-plane electric fields and the ν=52 fractional quantum Hall effect in a disk geometry},

author = {Tylan-Tyler, Anthony and Lyanda-Geller, Yuli},

abstractNote = {Not provided.},

doi = {10.1103/physrevb.95.121302},

journal = {Physical Review B},

issn = {2469-9950},

number = 12,

volume = 95,

place = {United States},

year = {2017},

month = {3}

}

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:

##
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

##
Strongly Anisotropic Electronic Transport at Landau Level Filling Factor $\mathit{\nu}\phantom{\rule{0ex}{0ex}}=\phantom{\rule{0ex}{0ex}}9\mathrm{}/2$ and $\mathit{\nu}\phantom{\rule{0ex}{0ex}}=\phantom{\rule{0ex}{0ex}}5\mathrm{}/2$ under a Tilted Magnetic Field

journal, July 1999

- Pan, W.; Du, R. R.; Stormer, H. L.
- Physical Review Letters, Vol. 83, Issue 4

##
Quantitative analysis of the disorder broadening and the intrinsic gap for the $\nu =\frac{5}{2}$ fractional quantum Hall state

journal, September 2011

- Samkharadze, N.; Watson, J. D.; Gardner, G.
- Physical Review B, Vol. 84, Issue 12

##
The quantum Hall effect at 5/2 filling factor

journal, June 2013

- Willett, R. L.
- Reports on Progress in Physics, Vol. 76, Issue 7

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

journal, July 1989

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

##
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

##
Cooper instability of composite fermions

journal, August 2000

- Scarola, Vito W.; Park, Kwon; Jain, J. K.
- Nature, Vol. 406, Issue 6798

##
Paired Hall state at half filling

journal, June 1991

- Greiter, Martin; Wen, Xiao-Gang; Wilczek, Frank
- Physical Review Letters, Vol. 66, Issue 24

##
Paired Hall states

journal, May 1992

- Greiter, Martin; Wen, X. G.; Wilczek, Frank
- Nuclear Physics B, Vol. 374, Issue 3

##
Nonabelions in the fractional quantum hall effect

journal, August 1991

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

##
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

##
Particle-Hole Symmetry and the Pfaffian State

journal, December 2007

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

##
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

##
A plasma analogy and Berry matrices for non-abelian quantum Hall states

journal, December 1997

- Gurarie, Victor; Nayak, Chetan
- Nuclear Physics B, Vol. 506, Issue 3

##
Non-Abelian Statistics of Half-Quantum Vortices in $\mathit{p}$ -Wave Superconductors

journal, January 2001

- Ivanov, D. A.
- Physical Review Letters, Vol. 86, Issue 2

##
Monte Carlo Evaluation of Non-Abelian Statistics

journal, January 2003

- Tserkovnyak, Yaroslav; Simon, Steven H.
- Physical Review Letters, Vol. 90, Issue 1

##
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

##
P/NP, and the quantum field computer

journal, January 1998

- Freedman, M. H.
- Proceedings of the National Academy of Sciences, Vol. 95, Issue 1

##
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 Quantum Computing with Read-Rezayi States

journal, October 2009

- Hormozi, L.; Bonesteel, N. E.; Simon, S. H.
- Physical Review Letters, Vol. 103, Issue 16

##
Topologically Protected Qubits from a Possible Non-Abelian Fractional Quantum Hall State

journal, April 2005

- Das Sarma, Sankar; Freedman, Michael; Nayak, Chetan
- Physical Review Letters, Vol. 94, Issue 16

##
Detecting Non-Abelian Statistics in the $\nu =5/2$ Fractional Quantum Hall State

journal, January 2006

- Bonderson, Parsa; Kitaev, Alexei; Shtengel, Kirill
- Physical Review Letters, Vol. 96, Issue 1

##
Edge excitations of paired fractional quantum Hall states

journal, May 1996

- Milovanović, M.; Read, N.
- Physical Review B, Vol. 53, Issue 20

##
Phase diagram and edge states of the $\nu =5/2$ fractional quantum Hall state with Landau level mixing and finite well thickness

journal, May 2015

- Tylan-Tyler, Anthony; Lyanda-Geller, Yuli
- Physical Review B, Vol. 91, Issue 20

##
Second Landau level fractional quantum Hall effects in the Corbino geometry

journal, September 2015

- Schmidt, B. A.; Bennaceur, K.; Bilodeau, S.
- Solid State Communications, Vol. 217

##
Edge reconstruction in the fractional quantum Hall regime

journal, September 2003

- Wan, Xin; Rezayi, E. H.; Yang, Kun
- Physical Review B, Vol. 68, Issue 12

##
Fractional quantum Hall effect at $\nu =5\u22152$ : Ground states, non-Abelian quasiholes, and edge modes in a microscopic model

journal, April 2008

- Wan, Xin; Hu, Zi-Xiang; Rezayi, E. H.
- Physical Review B, Vol. 77, Issue 16

##
Effect of Landau level mixing on the effective interaction between electrons in the fractional quantum Hall regime

journal, September 2009

- Bishara, Waheb; Nayak, Chetan
- Physical Review B, Vol. 80, Issue 12

##
Landau level mixing in the perturbative limit

journal, April 2013

- Simon, Steven H.; Rezayi, Edward H.
- Physical Review B, Vol. 87, Issue 15

##
More realistic Hamiltonians for the fractional quantum Hall regime in GaAs and graphene

journal, June 2013

- Peterson, Michael R.; Nayak, Chetan
- Physical Review B, Vol. 87, Issue 24

##
Landau level mixing and the fractional quantum Hall effect

journal, June 2013

- Sodemann, I.; MacDonald, A. H.
- Physical Review B, Vol. 87, Issue 24

##
Including Landau level mixing in numerical studies of the quantum Hall effect

journal, October 2013

- Wooten, R. E.; Macek, J. H.; Quinn, J. J.
- Physical Review B, Vol. 88, Issue 15

##
Phase Diagram of the $\nu =5/2$ Fractional Quantum Hall Effect: Effects of Landau-Level Mixing and Nonzero Width

journal, April 2015

- Pakrouski, Kiryl; Peterson, Michael R.; Jolicoeur, Thierry
- Physical Review X, Vol. 5, Issue 2

##
Current Breakdown of the Fractional Quantum Hall Effect through Contactless Detection of Induced Currents

journal, November 1998

- Watts, J. P.; Usher, A.; Matthews, A. J.
- Physical Review Letters, Vol. 81, Issue 19

##
Edge states and interferometers in the Pfaffian and anti-Pfaffian states of the $\nu ={\scriptstyle \frac{5}{2}}$ quantum Hall system

journal, April 2008

- Bishara, Waheb; Nayak, Chetan
- Physical Review B, Vol. 77, Issue 16

##
Observation of a transition from a topologically ordered to a spontaneously broken symmetry phase

journal, October 2015

- Samkharadze, N.; Schreiber, K. A.; Gardner, G. C.
- Nature Physics, Vol. 12, Issue 2