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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.
Highlights
The existence of a persistent current (PC) in a normal metal ring was first proposed by Buttiker, Imry and Landauer[1]
The effect of Rashba spin-orbit (RSO) interaction on PC is studied in a one-dimensional Holstein-Hubbard ring threaded by an Aharonov-Bohm flux
The phonon degrees of freedom are eliminated by performing the conventional Lang-Firsov transformation and the spin-dependence is removed by performing another unitary transformation
Summary
[If the onsite e-p interaction is so strong that the electron gets trapped in a deep potential well created at the i-th site, its interaction with the NN phonons will be very small. In such cases the effective selves through the NN e-p interaction can be localization-delocalization neglected]. Performing a LFT physically means assuming a coherent state for phonons where the coherence strength is determined by the electron density. We use a mean-field approximation (MFA) to deal with the e-e interaction This approximation neglects the fluctuations and is known to be a meaningful approximation if the correlation is not strong.
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