Abstract
Based on Kubo’s linear response formalism, temperature dependence of the spin-Hall conductivity of a two-dimensional impure (magnetic and nonmagnetic impurities) Rashba electron gas in the presence of electron–electron and electron–phonon interactions is analyzed theoretically. We will show that the temperature dependence of the spin-Hall conductivity is determined by the relaxation rates due to these interactions. At low temperature, the elastic lifetimes (\(\tau _\mathrm{n}\) and \(\tau _\mathrm{m} )\) are determined by magnetic and nonmagnetic impurity concentrations which are independent of the temperature, while the inelastic lifetimes (\(\tau _\mathrm{ee}\) and \(\tau _\mathrm{ep} )\) related to the electron–electron and electron–phonon interactions, decrease when the temperature increases. We will also show that since the spin-Hall conductivity is sensitive to temperature, we can distinguish the intrinsic and extrinsic contributions.
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Yavari, H., Mokhtari, M. & Bayervand, A. Temperature Dependence of the Spin-Hall Conductivity of a Two-Dimensional Impure Rashba Electron Gas in the Presence of Electron–Phonon and Electron–Electron Interactions. J Low Temp Phys 178, 331–344 (2015). https://doi.org/10.1007/s10909-014-1250-1
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DOI: https://doi.org/10.1007/s10909-014-1250-1