Skip to main page content
U.S. flag

An official website of the United States government

Dot gov

The .gov means it’s official.
Federal government websites often end in .gov or .mil. Before sharing sensitive information, make sure you’re on a federal government site.

Https

The site is secure.
The https:// ensures that you are connecting to the official website and that any information you provide is encrypted and transmitted securely.

Access keys NCBI Homepage MyNCBI Homepage Main Content Main Navigation
. 2016 Feb 1:6:20056.
doi: 10.1038/srep20056.

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

P J Monisha  1 , I V Sankar  1 , Shreekantha Sil  2 , Ashok Chatterjee  1
Affiliations

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

P J Monisha et al. Sci Rep. .

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.

PubMed Disclaimer

Figures

Figure 1
Figure 1. The GS energy and PC in the presence of SO interaction for U = g1 = g2 = 0.
(a) The GS energy as a function of the flux formula image for different α. (b) Persistent current formula image as a function of formula image for different α. (c) Variation of formula image as a function of α.
Figure 2
Figure 2. The effect of e-e interaction on the PC.
IPC as a function of U for α = 2 and α = 0.
Figure 3
Figure 3. The effect of e-p interaction on the PC.
IPC vs. formula image forformula image and formula image (with U = 0 = g2).
Figure 4
Figure 4. The effect of NN e-p interaction on the PC.
(a) Ipc vs. formula image for different values of formula image with formula image. (b) PC vs formula image for formula image and 0.1 with formula image.
Figure 5
Figure 5. The effect of temperature on the PC.
(a) Ipc as a function of temperature for formula image and formula image. (b) formula image as a function of temperature for different values of formula image with α = 2.
Figure 6
Figure 6. The effect of chemical potential on the PC.
(a) The persistent current as a function of flux for different μ. (b) PC vs μ for formula image and α = 0.
See this image and copyright information in PMC

References

    1. Büttiker M., Imry Y. & Landauer R. Josephson behavior in small normal one-dimensional rings. Phys. Lett. A 96, 365–367 (1983).
    1. Cheung H.-F., Gefen Y., Riedel E. K. & Shih W.-H. Persistent currents in small one-dimensional metal rings. Phys. Rev. B 37, 6050–6062 (1988). - PubMed
    1. Altshuler B. L., Gefen Y. & Imry Y. Persistent differences between canonical and grand canonical averages in mesoscopic ensembles: Large paramagnetic orbital susceptibilities. Phys. Rev. Lett. 66, 88–91 (1991). - PubMed
    1. von Oppen F. & Riedel E. K. Average persistent current in a mesoscopic ring. Phys. Rev. Lett. 66, 84–87 (1991). - PubMed
    1. Abraham M. & Berkovits R. Persistent currents in an interacting 1D disordered ring: Manifestations of the Mott-Hubbard transition. Phys. Rev. Lett. 70, 1509–1512 (1993). - PubMed

LinkOut - more resources