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Entanglement between Localized Spins in a Two-Dimensional Electron Gas with Spin-Orbit Interactions | | David F. Mross
; Henrik Johannesson
; | | Date: |
6 Mar 2009 | | Abstract: | We investigate the entanglement between the spin states of two quantum dots
embedded in a two-dimensional electron gas in the presence of spin-orbit
interactions of Rashba and Dresselhaus type. We take into account the effects
of spin-orbit interactions on both the Kondo and RKKY interaction and calculate
the concurrence for general spin-spin interactions that obey only
U(1)-symmetry. When the RKKY interaction between the dots dominates the direct
Kondo exchange we find that spin-orbit interactions may drive a maximally
entangled singlet state to a state with no entanglement. We further explore
effects from the interplay between RKKY, Kondo, and spin-orbit interactions
when the system exhibits critical behavior, and argue that spin-orbit
interactions may produce a line of critical points exhibiting the same
universal scaling behavior as that of the critical two-impurity Kondo model
without spin-orbit interactions. The onset of criticality is signaled by the
vanishing of the concurrence. | | Source: | arXiv, 0903.1207 | | Services: | Forum | Review | PDF | Favorites | |
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