Fractional quantum Hall effect in a quantum point contact at filling fraction 5/2

Jeffrey B. Miller; Iuliana P. Radu; Dominik M. Zumbühl; Eli M. Levenson-Falk; Marc A. Kastner; Charles M. Marcus; Loren N. Pfeiffer; Ken W. West

doi:10.1038/nphys658

Fractional quantum Hall effect in a quantum point contact at filling fraction 5/2

Jeffrey B. Miller, Iuliana P. Radu, Dominik M. Zumbühl, Eli M. Levenson-Falk, Marc A. Kastner, Charles M. Marcus, Loren N. Pfeiffer, Ken W. West

Research output: Contribution to journal › Article › peer-review

74 Scopus citations

Abstract

Recent theories suggest that the quasiparticles that populate certain quantum Hall states should exhibit exotic braiding statistics that could be used to build topological quantum gates. Confined systems that support such states at a filling fraction ≤5/2 are of particular interest for testing these predictions. Here, we report transport measurements of just such a system, which consists of a quantum point contact (QPC) in a two-dimensional GaAs/AlGaAs electron gas that itself exhibits a well-developed fractional quantum Hall effect at a bulk filling fraction bulk≤5/2. We observe plateau-like features at an effective filling fraction of QPC≤5/2 for lithographic contact widths of 1.2m and 0.8m, but not 0.5m. Transport near QPC≤5/2 in the QPCs is consistent with a picture of chiral Luttinger-liquid edge states with inter-edge tunnelling, suggesting that an incompressible state at QPC≤5/2 forms in this confined geometry.

Original language	English (US)
Pages (from-to)	561-565
Number of pages	5
Journal	Nature Physics
Volume	3
Issue number	8
DOIs	https://doi.org/10.1038/nphys658
State	Published - Aug 2007
Externally published	Yes

All Science Journal Classification (ASJC) codes

General Physics and Astronomy

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10.1038/nphys658

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title = "Fractional quantum Hall effect in a quantum point contact at filling fraction 5/2",

abstract = "Recent theories suggest that the quasiparticles that populate certain quantum Hall states should exhibit exotic braiding statistics that could be used to build topological quantum gates. Confined systems that support such states at a filling fraction ≤5/2 are of particular interest for testing these predictions. Here, we report transport measurements of just such a system, which consists of a quantum point contact (QPC) in a two-dimensional GaAs/AlGaAs electron gas that itself exhibits a well-developed fractional quantum Hall effect at a bulk filling fraction bulk≤5/2. We observe plateau-like features at an effective filling fraction of QPC≤5/2 for lithographic contact widths of 1.2m and 0.8m, but not 0.5m. Transport near QPC≤5/2 in the QPCs is consistent with a picture of chiral Luttinger-liquid edge states with inter-edge tunnelling, suggesting that an incompressible state at QPC≤5/2 forms in this confined geometry.",

author = "Miller, {Jeffrey B.} and Radu, {Iuliana P.} and Zumb{\"u}hl, {Dominik M.} and Levenson-Falk, {Eli M.} and Kastner, {Marc A.} and Marcus, {Charles M.} and Pfeiffer, {Loren N.} and West, {Ken W.}",

year = "2007",

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doi = "10.1038/nphys658",

language = "English (US)",

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pages = "561--565",

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T1 - Fractional quantum Hall effect in a quantum point contact at filling fraction 5/2

AU - Miller, Jeffrey B.

AU - Radu, Iuliana P.

AU - Zumbühl, Dominik M.

AU - Levenson-Falk, Eli M.

AU - Kastner, Marc A.

AU - Marcus, Charles M.

AU - Pfeiffer, Loren N.

AU - West, Ken W.

PY - 2007/8

Y1 - 2007/8

N2 - Recent theories suggest that the quasiparticles that populate certain quantum Hall states should exhibit exotic braiding statistics that could be used to build topological quantum gates. Confined systems that support such states at a filling fraction ≤5/2 are of particular interest for testing these predictions. Here, we report transport measurements of just such a system, which consists of a quantum point contact (QPC) in a two-dimensional GaAs/AlGaAs electron gas that itself exhibits a well-developed fractional quantum Hall effect at a bulk filling fraction bulk≤5/2. We observe plateau-like features at an effective filling fraction of QPC≤5/2 for lithographic contact widths of 1.2m and 0.8m, but not 0.5m. Transport near QPC≤5/2 in the QPCs is consistent with a picture of chiral Luttinger-liquid edge states with inter-edge tunnelling, suggesting that an incompressible state at QPC≤5/2 forms in this confined geometry.

AB - Recent theories suggest that the quasiparticles that populate certain quantum Hall states should exhibit exotic braiding statistics that could be used to build topological quantum gates. Confined systems that support such states at a filling fraction ≤5/2 are of particular interest for testing these predictions. Here, we report transport measurements of just such a system, which consists of a quantum point contact (QPC) in a two-dimensional GaAs/AlGaAs electron gas that itself exhibits a well-developed fractional quantum Hall effect at a bulk filling fraction bulk≤5/2. We observe plateau-like features at an effective filling fraction of QPC≤5/2 for lithographic contact widths of 1.2m and 0.8m, but not 0.5m. Transport near QPC≤5/2 in the QPCs is consistent with a picture of chiral Luttinger-liquid edge states with inter-edge tunnelling, suggesting that an incompressible state at QPC≤5/2 forms in this confined geometry.

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JO - Nature Physics

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ER -

Fractional quantum Hall effect in a quantum point contact at filling fraction 5/2

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