Persistent current in a correlated quantum ring with electron-phonon interaction in the presence of Rashba interaction and Aharonov-Bohm flux

Abstract

Persistent current in a correlated quantum ring threaded by an Aharonov-Bohm flux is studied in the presence of electron-phonon interactions and Rashba spin-orbit coupling. The quantum ring is modeled by the Holstein-Hubbard-Rashba Hamiltonian and the energy is calculated by performing the conventional Lang-Firsov transformation followed by the diagonalization of the effective Hamiltonian within a mean-field approximation. The effects of Aharonov-Bohm flux, temperature, spin-orbit and electron-phonon interactions on the persistent current are investigated. It is shown that the electron-phonon interactions reduce the persistent current, while the Rashba coupling enhances it. It is also shown that temperature smoothens the persistent current curve. The effect of chemical potential on the persistent current is also studied.

Persistent current in a chain of two Holstein-Hubbard rings in the presence of Rashba spin-orbit interaction

“…So the changes of magnitude and phase of persistent current with µ are small. This result is different from what is presented in [6] for similar quantum ring. The variation of persistent current I pc for different values of µ in the presence (α = 2) and absence (α = 0) of Rasba spin-orbit interaction is shown in Fig.…”

“…To compare these results to a single ring [6], they are similar in cases for E GS and I pc as a functions of the flux Φ for different α and differ considerably for the Drude weight function. The Drude weight as a function of flux Φ for different α in a single ring is a periodic function and the period changes with the change of α.…”

“…The effects of spin-orbit interactions [5] are also found to be pronounced in quantum rings. Recently the effect of electron-phonon interaction on the persistent current in a correlated quantum ring in the presence of Rashba spin-orbit interaction has been studied by Monisha et al [6] using the one-dimensional Holstein-Hubbard model. Using of quantum rings is rather popular in nanoscience (see, e.g., [7,8].…”

Influence of Majorana Bound States in Quantum Rings

“…This phenomenon is known as Leggett's conjecture. [39] We obtain the total persistent current in the quantum ring by summing over all n states: [40]…”

Exciton acoustic–phonon coupling in single In0.4Ga0.6As/GaAs quantum rings

“…Semiconductor quantum rings (QRs) of nanometer size are, also, quasi‐zero‐dimensional structures producing total carrier confinement, as quantum dots (QDs) do. In addition, these nanostructures have the advantage of showing new properties resulting from their ring‐like shape, such as a persistent current through the Aharonov–Bohm effect, large and negative excitonic permanent dipole moments, high oscillator strength of the ground‐state transition…(further QR properties can be found, e.g., in Ref. where fundamentals of physics of QRs are presented and a number of contributions are discussed).…”