Theoretical investigation of the effect of sample properties on the electron velocity in quantum Hall bars

Eksi, D.; Cicek, E.; Mese, A.I.; Aktaş, Ş.; Siddiki, A.; Hakioğlu, T.

doi:10.1103/physrevb.76.075334

Cited by 10 publications

(8 citation statements)

References 31 publications

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“…4 shows electron velocities that flow through edge channels which are at the order of 10 7 cm/s. This result is consistent with previous theoretical calculations 42 . Self-consistent screening calculations depends on the electron-electron interactions explained by the recent theoretical works show that the 2DEG contains two different kinds of regions: the compressible and incompressible regions 43,44 .…”

Section: Incompressibilitysupporting

confidence: 94%

Formation of spin droplet atν=52in an asymmetric quantum dot under quantum Hall conditions

Atci

Siddiki

2017

Phys. Rev. B

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In this work, a quantum dot that is defined asymmetrically by electrostatic means induced on a GaAs/AlGaAs heterostructure is investigated to unravel the effect of geometric constrains on the formation of spin droplets under quantised Hall conditions. The incompressibility of exciting ν = 5/2 state is explored by solving the Schrödinger equation within spin density functional theory, where the confinement potential is obtained self-consistently utilising the Thomas-Fermi approximation. Our numerical investigations show that the spatial distribution of the ν = 2 incompressible strips and electron occupation in the second lowest Landau level considerably differ from the results of the laterally symmetric quantum dots. Our findings yield two important consequences, first the incompressibility of the intriguing ν = 5/2 state is strongly affected by the asymmetry, and second, since the Aharonov-Bohm interference patterns depend on the velocity of the particles, asymmetry yields an additional parameter to adjust the oscillation period, which imposes a boundary condition dependency in observing quasi-particle phases.

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Section: Incompressibilitysupporting

confidence: 94%

Formation of spin droplet atν=52in an asymmetric quantum dot under quantum Hall conditions

Atci

Siddiki

2017

Phys. Rev. B

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“…Of course, other impurity models and scattering processes can also be considered resulting in Gaussian or Lorentzian broadened Landau DOS. 39,76 In such descriptions of the DOS broadening an infinite 2DES is assumed and the DOS is calculated for impurity distributions averaged over all possible configurations. Inserting this ͑global͒ DOS in Eq.…”

Section: Appendix B: Corrections To the Tfamentioning

confidence: 99%

Modeling of quantum point contacts in high magnetic fields and with current bias outside the linear response regime

et al. 2008

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The electron and current-density distributions in the close proximity of quantum point contacts ͑QPCs͒ are investigated. A three-dimensional Poisson equation is solved self-consistently to obtain the electron density and potential profile in the absence of an external magnetic field for gate and etching defined devices. We observe the surface charges and their apparent effect on the confinement potential, when considering the ͑deeply͒ etched QPCs. In the presence of an external magnetic field, we investigate the formation of the incompressible strips and their influence on the current distribution both in the linear response and out of linear response regime. A spatial asymmetry of the current carrying incompressible strips, induced by the large source drain voltages, is reported for such devices in the nonlinear regime.

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“…These results are summarized in table (I), from which we conclude that |dU/dr| scales with the carrier density of the two-dimensional electron system[45]: 1 × 10 15 m −2 [16], 2.6 × 10 15 m −2[14,17], 2.7 × 10 15 m −2 [7] and 1.4 × 10 16 m −2 in the present sample. In the same framework, using equation (2), we extract v = 9.8 × 10 4 m/s, which is close to the lower limit of results in[7].…”

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confidence: 53%

Scanning gate spectroscopy of transport across a quantum Hall nano-island

et al. 2013

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We explore transport across an ultra-small quantum Hall island (QHI) formed by closed quantum Hall edge states and connected to propagating edge channels through tunnel barriers. Scanning gate microscopy and scanning gate spectroscopy are used to first localize and then study a single QHI near a quantum point contact. The presence of Coulomb diamonds in the spectroscopy confirms that Coulomb blockade governs transport across the QHI. Varying the microscope tip bias as well as current bias across the device, we uncover the QHI discrete energy spectrum arising from electronic confinement and we extract estimates of the gradient of the confining potential and of the edge state velocity. 7

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Theoretical investigation of the effect of sample properties on the electron velocity in quantum Hall bars

Cited by 10 publications

References 31 publications

Formation of spin droplet atν=52in an asymmetric quantum dot under quantum Hall conditions

Formation of spin droplet atν=52in an asymmetric quantum dot under quantum Hall conditions

Modeling of quantum point contacts in high magnetic fields and with current bias outside the linear response regime

Scanning gate spectroscopy of transport across a quantum Hall nano-island

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