Current Correlations in a Quantum Dot Ring: A Role of Quantum Interference

Bułka, Bogdan R.; Łuczak, Jakub

doi:10.3390/e21050527

Cited by 7 publications

(4 citation statements)

References 56 publications

(81 reference statements)

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“…To solve this issue, we proceed in another way where the energy eigenvectors are directly associated. This is the socalled second-quantized approach and the prescription is given as follows [14,17,57].…”

Section: Discussionmentioning

confidence: 99%

Manipulation of circular currents in a coupled ring system: effects of connectivity and non-uniform disorder

Majhi¹,

Maiti²

2020

J. Phys.: Condens. Matter

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Considering a quantum network, here we propose two kinds of circular charge currents. These are referred as: net current in the full system and the current con ned within a particular segment of the network. The network is composed of two rings, where one of the rings is subjected to a magnetic ux. Depending on the connectivity among the rings a new kind of states, insensitive to the magnetic ux, is generated along with the current carrying states. Because of this, a pronounced oscillation in net current with lling factor appears which suggests a possible switching action. Appearance of these vanishing current carrying states gradually decreases with increasing the degree of connectivity between the rings. As long as the rings are coupled by using more than a single bond, a circular current of other kind appears in the ux free ring which induces a strong magnetic eld. The strength of this induced magnetic eld can be regulated selectively by tuning the magnetic ux in the other ring. This phenomenon can be utilized for spin switching and other spintronic applications. Finally, we examine the role of non-uniform disorder on these currents, and nd several atypical signatures. Our study can be generalized to any higher loop system for investigating magneto-transport properties.

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Section: Discussionmentioning

confidence: 99%

Manipulation of circular currents in a coupled ring system: effects of connectivity and non-uniform disorder

Majhi¹,

Maiti²

2020

J. Phys.: Condens. Matter

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“…It is known that there exists a persistent current (PC) in a quantum ring (QR) which is generated by a magnetic flux Φ piercing through the ring. This novel phenomenon was first addressed by Büttiker et al [1] and subsequently, several theoretical [2][3][4][5][6][7][8][9][10][11][12][13] and experimental [14][15][16][17][18][19][20] studies followed confirming the existence of PC in low-dimensional systems. Several investigations have also been carried out to examine the effect of electron-electron (e-e) interaction on PC in a QR within the framework of the Hubbard model [21][22][23][24][25][26].…”

Section: Introductionmentioning

confidence: 89%

“…. 𝐸 𝐺𝑆 = ∑ 𝐸 𝑖 𝑓(𝐸 𝑖 ) 𝑖 + 𝐾, (12) and following Ref. [25], the persistent charge current (PCC), 𝐼 𝑃𝐶 is obtained from the relation…”

Section: Methodsmentioning

confidence: 99%

Persistent current in a mesoscopic Holstein-Hubbard ring with Dresselhaus interaction

Bhattacharyya

Monisha²,

Chatterjee

2023

Preprint

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The effect of electron-phonon coupling, onsite repulsive Coulomb interaction and temperature on the persistent current in a quantum ring is studied in the presence of Dresselhaus spin-orbit interaction. The quantum ring threaded by the Aharonov-Bohm flux is modelled by the one-dimensional Holstein-Hubbard-Dresselhaus Hamiltonian. The electron-phonon interaction and Dresselhaus spin-orbit interaction are decoupled by employing the Lang-Firsov coherent transformation and a unitary transformation respectively. Thereafter, a self-consistent diagonalization technique is performed numerically at the Hartree-Fock level to obtain the effective electronic energy and current. It is shown that the intrinsic Dresselhaus spin-orbit interaction enhances the persistent charge and spin currents significantly. On the other hand, the persistent current is reduced by the onsite and nearest-neighbour electron-phonon interaction and Coulomb interaction. Also, the behaviour of the currents is modified by temperature. The spin-splitting of persistent spin current is enhanced considerably by Dresselhaus spin-orbit interaction and this splitting is tuneable in different regimes of magnetic flux, temperature, chemical potential and the interactions present in the system.

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“…We would like to finish our presentation with a somewhat related quantity, namely, the noise, since current fluctuations are defined from time correlators. Bulka and Luczak [ 20 ] analyze the electric current noise in a ring structure that supports persistent currents. When the ring is pierced by an external magnetic field, the interference pattern is affected by the Aharonov–Bohm effect and this is reflected in the noise as a function of the flux.…”

mentioning

confidence: 99%