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

^*Bu çalışma için yazışmadan sorumlu yazar

Ludwig Maximilian University of Munich
Selcuk University
Bilkent University

Araştırma sonucu: Dergiye katkı › Makale › bilirkişi

3 Atıf (Scopus)

Özet

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.

Orijinal dil	İngilizce
Sayfa (başlangıç-bitiş)	1398-1400
Sayfa sayısı	3
Dergi	Physica E: Low-Dimensional Systems and Nanostructures
Hacim	40
Basın numarası	5
DOI'lar	https://doi.org/10.1016/j.physe.2007.09.063
Yayın durumu	Yayınlandı - Mar 2008
Harici olarak yayınlandı	Evet

Finansman

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.

Finansörler	Finansör numarası
ITAP
Marmaris Institute of Theoretical and Applied Physics
Selcuk University BAP	07101003, 07101037, SFB631
TUBITAK	105T110

Belgeye Erişim

10.1016/j.physe.2007.09.063

Diğer Dosyalar ve Linkler

Link to publication in Scopus

Alıntı Yap

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

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.",

keywords = "Edge states, Electronic Mach-Zehnder interferometer, Quantum Hall effect, Screening",

author = "A. Siddiki and Kavruk, \{A. E.\} and T. {\"O}zt{\"u}rk and {\"U} Atav and M. {\c S}ahin and T. Hakioǧlu",

year = "2008",

month = mar,

doi = "10.1016/j.physe.2007.09.063",

language = "English",

volume = "40",

pages = "1398--1400",

journal = "Physica E: Low-Dimensional Systems and Nanostructures",

issn = "1386-9477",

publisher = "Elsevier B.V.",

number = "5",

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TY - JOUR

T1 - The self-consistent calculation of the edge states at quantum Hall effect (QHE) based Mach-Zehnder interferometers (MZI)

AU - Siddiki, A.

AU - Kavruk, A. E.

AU - Öztürk, T.

AU - Atav, Ü

AU - Şahin, M.

AU - Hakioǧlu, T.

PY - 2008/3

Y1 - 2008/3

N2 - 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.

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

UR - https://www.scopus.com/pages/publications/39649121687

U2 - 10.1016/j.physe.2007.09.063

DO - 10.1016/j.physe.2007.09.063

M3 - Article

AN - SCOPUS:39649121687

SN - 1386-9477

VL - 40

SP - 1398

EP - 1400

JO - Physica E: Low-Dimensional Systems and Nanostructures

JF - Physica E: Low-Dimensional Systems and Nanostructures

IS - 5

ER -

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

Özet

Finansman

Belgeye Erişim

Diğer Dosyalar ve Linkler

Parmak izi

Alıntı Yap