Energy levels of hybrid monolayer-bilayer graphene quantum dots

Mirzakhani, M.; Zarenia, M.; Ketabi, S. A.; Costa, D. R. da; Peeters, F. M.

doi:10.1103/physrevb.93.165410

Cited by 39 publications

(57 citation statements)

References 31 publications

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“…The energy levels as a function of the magnetic field are presented in figure 3 for R=70 nm, 0), we observe that the energy levels display a continuum energy band and also there are many degenerate zero-energy states corresponding to all angular momenta m for both K and ¢ K , i.e. E(m, τ)=E (m,−τ) [21]. Now by increasing B, one notices that the degeneracy of the energy levels is lifted and then we have…”

Section: Numerical Resultsmentioning

confidence: 94%

“…). However when R increases, two sets of energy levels appear, one shows the symmetry E(m, τ)=E(m,−τ) and approaches the Landau levels (LLs) corresponding to graphene QD [21], the other one shows a lack of symmetry ( )…”

Section: Numerical Resultsmentioning

confidence: 99%

“…In our case we are dealing with a graphene magnetic circular quantum dot who boundaries are defined by the profile of the applied magnetic field, hence we do not have terminated boundaries that result in dangling bonds. Hence zigzag and armchair boundary conditions are not relevant to our situation, contrary to previous works [21,27]. The corresponding band structures will be analyzed by deriving the solutions of the energy spectrum.…”

Section: Introductionmentioning

confidence: 93%

“…Experimentally, electrostatically confined monolayer graphene QDs with orbital and valley splittings was realized [26]. The hybrid monolayer-bilayer graphene QDs were investigated in [21] by considering a circular single-layer graphene quantum dot surrounded by an infinite bilayer graphene sheet as well as a circular bilayer graphene quantum dot surrounded by an infinite single-layer graphene. Here the QD boundary conditions (zigzag or armchair) between the QD and its surrounding infinite graphene medium are very important, the QD energy levels exhibit interface states characteristics.…”

Section: Introductionmentioning

confidence: 99%

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Energy levels of graphene magnetic circular quantum dot

Belouad

Lemaalem

Jellal

et al. 2020

Mater. Res. Express

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We study the energy levels of graphene magnetic circular quantum dot surrounded by an infinite graphene sheet in the presence of an electrostatic potential. We solve Dirac equation to derive the solutions of energy spectrum associated with different regions composing our system. Using the continuum model and applying boundary conditions at the interface, we obtain analytical results for the energy levels. The dependence of the energy levels on the quantum dot radius, magnetic field and electrostatic potential is analyzed for the two valleys K and ¢ K . We show that the energy levels exhibit characteristics of interface states and have an energy gap.

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Section: Numerical Resultsmentioning

confidence: 94%

Section: Numerical Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 93%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Energy levels of graphene magnetic circular quantum dot

Belouad

Lemaalem

Jellal

et al. 2020

Mater. Res. Express

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“…The multiple electrons occupied in the levels with electron-electron Coulomb interactions result in a many-body system [9][10][11]. Although the many-body effect is complex [12,13], interesting properties can be predicted, such as anticrossings between energy levels and variations in the spectra [14,15].…”

mentioning

confidence: 99%

Many-body effect of mesoscopic localized states in MoS2 monolayer

Dang

Qian

et al. 2019

Phys. Rev. Materials

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Transition metal dichalcogenide monolayers provide an emerging material system to implement quantum photonics with intrinsic two-dimensional excitons or embedded zero-dimensional localized states. Here we demonstrate the mesoscopic localized states between two-and zero-dimensions, which is a many-body system with electron-electron Coulomb interactions. A fine structure splitting is observed, which is similar to quantum dots. Meanwhile the polarization is changed by the magnetic field, due to the nature of two-dimensional monolayers. Furthermore, a large quadratic diamagnetism with a coefficient of around 100 µeV/T 2 is observed, as a unique consequence of the mesoscopic scale. The many-body effect also results in the emission energy variation and linewidth narrowing in the spectrum, which corresponds well to the theoretical analysis. These unique properties indicate the great potential of mesoscopic localized states in many-body physics and quantum photonics. * Contributed equally to this work. † xlxu@iphy.ac.cn

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