The self-consistent calculation of the edge states at quantum Hall effect (QHE) based Mach-Zehnder interferometers (MZI)

A. Siddiki; A. E. Kavruk; T. Öztürk; Ü Atav; M. Şahin; T. Hakioǧlu

doi:10.1016/j.physe.2007.09.063

The self-consistent calculation of the edge states at quantum Hall effect (QHE) based Mach-Zehnder interferometers (MZI)

A. Siddiki, A. E. Kavruk^*, T. Öztürk, Ü Atav, M. Şahin, T. Hakioǧlu

^*Corresponding author for this work

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

3 Citations (Scopus)

Abstract

The spatial distribution of the incompressible edge states (IES) is obtained for a geometry which is topologically equivalent to an electronic Mach-Zehnder interferometer, taking into account the electron-electron interactions within a Hartree type self-consistent model. The magnetic field dependence of these IES is investigated and it is found that an interference pattern may be observed if two IES merge or come very close, near the quantum point contacts. Our calculations demonstrate that, being in a quantized Hall plateau does not guarantee observing the interference behavior.

Original language	English
Pages (from-to)	1398-1400
Number of pages	3
Journal	Physica E: Low-Dimensional Systems and Nanostructures
Volume	40
Issue number	5
DOIs	https://doi.org/10.1016/j.physe.2007.09.063
Publication status	Published - Mar 2008
Externally published	Yes

Funding

The authors acknowledge the support of the Marmaris Institute of Theoretical and Applied Physics (ITAP), TUBITAK Grant 105T110, and Selcuk University BAP contracts 07101003 & 07101037, SFB631 and DIP.

Funders	Funder number
ITAP
Marmaris Institute of Theoretical and Applied Physics
Selcuk University BAP	07101003, 07101037, SFB631
TUBITAK	105T110

Keywords

Edge states
Electronic Mach-Zehnder interferometer
Quantum Hall effect
Screening

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10.1016/j.physe.2007.09.063

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abstract = "The spatial distribution of the incompressible edge states (IES) is obtained for a geometry which is topologically equivalent to an electronic Mach-Zehnder interferometer, taking into account the electron-electron interactions within a Hartree type self-consistent model. The magnetic field dependence of these IES is investigated and it is found that an interference pattern may be observed if two IES merge or come very close, near the quantum point contacts. Our calculations demonstrate that, being in a quantized Hall plateau does not guarantee observing the interference behavior.",

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AU - Siddiki, A.

AU - Kavruk, A. E.

AU - Öztürk, T.

AU - Atav, Ü

AU - Şahin, M.

AU - Hakioǧlu, T.

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AB - The spatial distribution of the incompressible edge states (IES) is obtained for a geometry which is topologically equivalent to an electronic Mach-Zehnder interferometer, taking into account the electron-electron interactions within a Hartree type self-consistent model. The magnetic field dependence of these IES is investigated and it is found that an interference pattern may be observed if two IES merge or come very close, near the quantum point contacts. Our calculations demonstrate that, being in a quantized Hall plateau does not guarantee observing the interference behavior.

KW - Edge states

KW - Electronic Mach-Zehnder interferometer

KW - Quantum Hall effect

KW - Screening

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The self-consistent calculation of the edge states at quantum Hall effect (QHE) based Mach-Zehnder interferometers (MZI)

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Keywords

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