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Open AccessArticle

Quantum Adiabatic Pumping in Rashba- Dresselhaus-Aharonov-Bohm Interferometer

1
Faculty of Pure and Applied Sciences, University of Tsukuba, 1-1-1, Tennodai, Tsukuba, Ibaraki 305-8571, Japan
2
Tsukuba Research Center for Energy Materials Science (TREMS), University of Tsukuba, 1-1-1, Tennodai Tsukuba, Ibaraki 305-8571, Japan
Entropy 2019, 21(9), 828; https://doi.org/10.3390/e21090828
Received: 2 July 2019 / Revised: 8 August 2019 / Accepted: 22 August 2019 / Published: 24 August 2019
(This article belongs to the Special Issue Quantum Transport in Mesoscopic Systems)
We investigate the quantum adiabatic pumping effect in an interferometer attached to two one-dimensional leads. The interferometer is subjected to an Aharonov-Bohm flux and Rashba-Dresselhaus spin-orbit interaction. Using Brouwer’s formula and rigorous scattering eigenstates, we obtained the general closed formula for the pumping Berry curvatures depending on spin for general interferometers when the external control parameters only modulate the scattering eigenstates and corresponding eigenvalues. In this situation, pumping effect is absent in the combination of the control parameters of Aharonov-Bohm flux and spin-orbit interaction strength. We have shown that finite pumping is possible by modulating both Rashba and Dresselhaus interaction strengths and explicitly demonstrated the spin-pumping effect in a diamond-shaped interferometer made of four sites. View Full-Text
Keywords: spin pump; spin-orbit interaction; quantum adiabatic pump; interferometer; geometric phase spin pump; spin-orbit interaction; quantum adiabatic pump; interferometer; geometric phase
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Tokura, Y. Quantum Adiabatic Pumping in Rashba- Dresselhaus-Aharonov-Bohm Interferometer. Entropy 2019, 21, 828.

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