Theoretical study of persistent current in a nanoring made of a band insulator

Mošková, Antónia; Moško, Martin; Tóbik, J.

doi:10.1002/pssb.201248066

Cited by 7 publications

(3 citation statements)

References 37 publications

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“…For this purposes, we have considered three types of Mandelbrot rings that have been illustrated in the next sections. Such studies have different applications such as the formation of a qubit 46 and coherent nanoelectronics 47 . This research is organized as follows: in the section " Formalism ", we have presented the background mathematical formalism of the persistent current evaluation.…”

Section: Introductionmentioning

confidence: 99%

Persistent currents and electronic properties of Mandelbrot quantum rings

Tehrani

Solaimani

2023

Sci Rep

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In this study, we investigate the persistent current, and electronic energy levels of Mandelbrot quantum rings. For this purpose, three types of Mandelbrot quantum rings are proposed. Furthermore, Mandelbrot equation is generalized by introducing parameter m, which makes Mandelbrot’s shape more symmetric by adding new branches to it, on the other hand, the iteration parameter M, controls geometrical deficiencies. We explain the procedure needed to form these structures, including a padding scheme, then we solve the resulting two-dimensional Schrodinger equation using the central finite difference method with uniform distribution of the mesh points. Thereafter, we obtain the persistent current in different situations including different Mandelbrot orders and quantum ring shapes. We show that the persistent current can have different shapes and intensities by changing the described geometrical parameters of Mandelbrot quantum rings. We explain this phenomenon by considering symmetries in the potential, and consequently the wavefunction.

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Section: Introductionmentioning

confidence: 99%

Persistent currents and electronic properties of Mandelbrot quantum rings

Tehrani

Solaimani

2023

Sci Rep

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“…More recently, the case of simple bands in 1D crystals without inversion symmetry () and the exact optimization of the localization of generalized WFs of a pair of bands () have been addressed. Furthermore, the ideas have been extended to deal with photonic structures () and persistent currents in quantum rings ().…”

Section: Introductionmentioning

confidence: 99%

Wannier functions of cumulene: A tight‐binding approach

Ribeiro

Nacbar

Bruno-Alfonso

2015

Physica Status Solidi (b)

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Exponentially localized Wannier functions of cumulene are calculated from the Bloch functions obtained through a tight‐binding approach. Numerical results and discussions are given for the π and σ bands. In the latter case, the single‐band Wannier functions are similar to the orbitals of a diatomic molecule, while the two‐band Wannier functions resemble hybrid atomic orbitals. Contour plot of an sp‐like Wannier function of cumulene.

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“…It is known that a conducting ring pierced by magnetic flux can support persistent electron current [1]. Persistent currents exist in superconducting rings [2], in mesoscopic resistive metal rings [3,[5][6][7][8], in ballistic metallic rings [9], and in nanorings made of band insulators [10].…”

Section: Introductionmentioning

confidence: 99%

Coexistence of diffusive resistance and ballistic persistent current in disordered metallic rings with rough edges: Possible origin of puzzling experimental values

Feilhauer

Moško²

2013

Phys. Rev. B

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Typical persistent current (Ityp) in a mesoscopic normal metal ring with disorder due to rough edges and random grain boundaries is calculated by a scattering matrix method. In addition, resistance of a corresponding metallic wire is obtained from the Landauer formula and the electron mean free path (l) is determined. If disorder is due to the rough edges, a ballistic persistent current Ityp ≃ evF /L is found to coexist with the diffusive resistance (∝ L/l), where vF is the Fermi velocity and L ≫ l is the ring length. This ballistic current is due to a single electron that moves almost in parallel with the rough edges and thus hits them rarely (it is shown that this parallel motion exists in the ring geometry owing to the Hartree-Fock interaction). Our finding agrees with a puzzling experimental result Ityp ≃ evF /L, reported by Chandrasekhar et al. [Phys. Rev. Lett. 67, 3578 (1991)] for metallic rings of length L ≃ 100l. If disorder is due to the grain boundaries, our data reproduce theoretical result Ityp ≃ (evF /L)(l/L) that holds for the white-noise-like disorder and has been observed in recent experiments. Thus, result Ityp ≃ evF /L in a disordered metallic ring of length L ≫ l is as normal as result Ityp ≃ (evF /L)(l/L). Which result is observed depends on the nature of disorder. Experiments that would determine Ityp and l in correlation with the nature of disorder can be instructive.

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Theoretical study of persistent current in a nanoring made of a band insulator

Cited by 7 publications

References 37 publications

Persistent currents and electronic properties of Mandelbrot quantum rings

Persistent currents and electronic properties of Mandelbrot quantum rings

Wannier functions of cumulene: A tight‐binding approach

Coexistence of diffusive resistance and ballistic persistent current in disordered metallic rings with rough edges: Possible origin of puzzling experimental values

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