Scanning-Probe Electronic Imaging of Lithographically Patterned Quantum Rings

Martins, Frederico Rodrigues; Cabosart, Damien; Sellier, H.; Pala, Marco G.; Hackens, Benoît; Bayot, Vincent; Huant, S.

doi:10.1007/978-3-319-95159-1_5

Cited by 2 publications

(2 citation statements)

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“…A 2D electron gas (2DEG) confined in a mesoscopic ring and immersed in an external magnetic field exhibits a variety of physical phenomena. [1][2][3][4][5][6][7][8][9][10][11] Among them, we highlight that a quantum ring can carry a persistent current, which is periodic in the AB flux Φ with a period Φ 0 = h∕e, the flux quantum. [12,13] Persistent currents have been detected on metallic rings [14,15] and in experiments on a semiconductor ring in the GaAs/GaAIAs system.…”

Section: Introductionmentioning

confidence: 99%

Modification of Landau Levels in a 2D Ring Due to Rotation Effects and Edge States

Pereira

Silva

2023

Annalen der Physik

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The properties of a 2D quantum ring under rotating and external magnetic field effects are investigated. The Landau levels and their inertial effects on them are initially analyzed. Among the results obtained, it is emphasized that the rotation lifted the degeneracy of Landau levels. The second part deals with the electronic confinement in a 2D ring modeled by a hard wall potential. The eigenstates are described by Landau states as long as they are not too close to the ring edges. On the other hand, near the ring edges, the energies increase monotonically. These states are known as edge states. Edge states have a significant role in the physical properties of the ring. Thus, the Fermi energy and magnetization are analyzed. In the specific case of magnetization, two approaches are considered. In the first approach, an analytical result for magnetization is obtained but without considering rotation. Numerical results show the de Haas‐Van Alphen (dHvA) oscillations. In the second approach, rotating effects are considered. In addition to the dHvA oscillations, the Aharonov–Bohm‐type (AB) oscillations are verified, which are associated with the presence of edge states. The effects of rotation on the results are discussed and it is found that rotation is responsible for inducing AB oscillations.

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Section: Introductionmentioning

confidence: 99%

Modification of Landau Levels in a 2D Ring Due to Rotation Effects and Edge States

Pereira

Silva

2023

Annalen der Physik

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“…Its precisely solvable nature grants a unique vantage point to explore fundamental quantum mechanics at a mesoscopic scale, offering deep theoretical understanding and predictive capabilities [33]. The potential applications of this model span a wide spectrum of nanoelectronics and quantum device engineering [34][35][36][37]. It serves as a foundational framework for investigating and designing novel devices, such as QRs for quantum computation [38].…”

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confidence: 99%

Rotating effects on the photoionization cross-section of a 2D quantum ring

Pereira,

Azevedo,

Pereira

et al. 2024

Commun. Theor. Phys.

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In this article, we investigate the nonrelativistic quantum motion of a charged particle within a rotating frame, taking into account the Aharonov-Bohm (AB) effect and a uniform magnetic field. Our analysis entails the derivation of the equation of motion and the corresponding radial equation to describe the system. Solving the resulting radial equation enables us to determine the eigenvalues and eigenfunctions, providing a clear expression for the energy levels. Furthermore, our numerical analysis highlights the substantial influence of rotation on both energy levels and optical properties. Specifically, we evaluate the photoionization cross-section (PCS) with and without the effects of rotation. To elucidate the impact of rotation on the photoionization process of the system, we present graphics that offer an appealing visualization of the intrinsic nature of the physics involved.

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Scanning-Probe Electronic Imaging of Lithographically Patterned Quantum Rings

Cited by 2 publications

References 63 publications

Modification of Landau Levels in a 2D Ring Due to Rotation Effects and Edge States

Modification of Landau Levels in a 2D Ring Due to Rotation Effects and Edge States

Rotating effects on the photoionization cross-section of a 2D quantum ring

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