Maximum density hole droplets of an antidot in strong magnetic fields

Hwang, N. Y.; Yang, Shuming; Sim, Hyun Sub; Yi, Hangmo

doi:10.1103/physrevb.70.085322

Cited by 13 publications

(19 citation statements)

References 34 publications

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“…When S ≃ S σ ≫ S ↑ − S ↓ , one has a ↑ ≃ a ↓ ≃ S/φ 0 . Note that a recent Hartree-Fock numerical calculation [52] has shown the behavior of excess charge to be consistent with the linear form in Eq. (38), which will be discussed in Sec.…”

Section: Derivation Of Excess Chargementioning

confidence: 82%

“…This situation can be achieved only when an incompressible region or a maximum-density droplet of holes [52] (see Sec. 4.5) is formed around an antidot.…”

Section: Derivation Of Excess Chargementioning

confidence: 99%

“…3.3, 3.4, and 3.8, respectively. This phenomenological model has been tested [49,52] by a Hartree-Fock numerical study. The Hartree-Fock calculation has shown that a maximum-density droplet of holes can be the ground state of an antidot in some parameter regimes, and that the transitions of the droplet ground states can be well described by the capacitiveinteraction model.…”

Section: Theoretical Studies On Electron Interactions In Antidotsmentioning

confidence: 99%

“…Then, we show that the capacitive interaction model can give a good explanation [49] for the h/2e oscillations and the antidot Kondo effect. We also include the prediction [52] of a hole maximum-density droplet of antidot states based on a numerical Hartree-Fock approach and the numerical spin density-functional search for compressible regions of an antidot [60]. Despite the above experimental and theoretical efforts, there are still many open problems in antidots in the integer quantum Hall regime.…”

Section: Introductionmentioning

confidence: 99%

“…To see the microscopic nature of electron interactions and of many-body antidot states, numerical Hartree-Fock calculations have been performed [51,52,53]. It has been found [52] that the HartreeFock results for a large antidot can be well described by the capacitive interaction model.…”

Section: Introductionmentioning

confidence: 99%

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Electron interactions in an antidot in the integer quantum Hall regime

2008

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A quantum antidot, a submicron depletion region in a two-dimensional electron system, has been actively studied in the past two decades, providing a powerful tool for understanding quantum Hall systems. In a perpendicular magnetic field, electrons form bound states around the antidot. Aharonov-Bohm resonances through such bound states have been experimentally studied, showing interesting phenomena such as Coulomb charging, h/2e oscillations, spectator modes, signatures of electron interactions in the line shape, Kondo effect, etc. None of them can be explained by a simple noninteracting electron approach. Theoretical models for the above observations have been developed recently, such as a capacitive-interaction model for explaining the h/2e oscillations and the Kondo effect, numerical prediction of a hole maximum-density-droplet antidot ground state, and spin density-functional theory for investigating the compressibility of antidot edges. In this review, we summarize such experimental and theoretical works on electron interactions in antidots.

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Section: Derivation Of Excess Chargementioning

confidence: 82%

“…This situation can be achieved only when an incompressible region or a maximum-density droplet of holes [52] (see Sec. 4.5) is formed around an antidot.…”

Section: Derivation Of Excess Chargementioning

confidence: 99%

Section: Theoretical Studies On Electron Interactions In Antidotsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Electron interactions in an antidot in the integer quantum Hall regime

2008

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Electronic properties of a graphene antidot in magnetic fields

Park

Kim

Yang

2010

J. Phys.: Condens. Matter

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We report on several unusual properties of a graphene antidot created by a piecewise constant potential in a magnetic field. We find that the total probability of finding the electron in the barrier can be nearly one while it is almost zero outside the barrier. In addition, for each electron state of a graphene antidot there is a dot state with exactly the same wavefunction but with a different energy. This symmetry is a consequence of Klein tunneling of Dirac electrons. Moreover, in zigzag nanoribbons we find strong coupling between some antidot states and zigzag edge states. Experimental tests of these effects are proposed.

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Aharonov-Bohm electron interferometer in the integer quantum Hall regime

Zhou

Goldman

2005

Phys. Rev. B

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We report experiments on a quantum electron interferometer fabricated from high mobility, low density AlGaAs/GaAs heterostructure material. In this device, a nearly circular electron island is defined by four front gates deposited in etched trenches. The island is separated from the 2D electron bulk by two nearly open constrictions. In the quantum Hall regime, two counterpropagating edge channels are coupled by tunneling in the constrictions, thus forming a closed electron interference path. For several fixed front gate voltages, we observe periodic Aharonov-Bohm interference oscillations in four-terminal resistance as a function of the enclosed flux. The oscillation period B ∆ gives the area of the interference path S via the quantization condition. We experimentally determine the dependence of S on the front gate voltage, and find that the Aharonov-Bohm quantization condition does not require significant corrections due to the confining potential. These results can be interpreted as a constant integrated compressibility of the island with respect to the front gates. We also analyze experimental results using two classical electrostatics models: one modeling the 2D electron density due to depletion from an etch trench, and another modeling the gate voltage dependence of the electron density profile in the island.

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Maximum density hole droplets of an antidot in strong magnetic fields

Cited by 13 publications

References 34 publications

Electron interactions in an antidot in the integer quantum Hall regime

Electron interactions in an antidot in the integer quantum Hall regime

Electronic properties of a graphene antidot in magnetic fields

Aharonov-Bohm electron interferometer in the integer quantum Hall regime

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