4,662 research outputs found
Binary Darboux-Backlund Transformations for the Manin-Radul Super KdV Hierarchy
We construct the supersymmetric extensions of the Darboux-Backlund
transformations (DBTs) for the Manin-Radul super KdV hierarchy using the
super-pseudo-differential operators. The elementary DBTs are triggered by the
gauge operators constructed from the wave functions and adjoint wave functions
of the hierarchy. Iterating these elementary DBTs, we obtain not only Wronskian
type but also binary type superdeterminant representations of the solutions.Comment: 14 pages, Revtex, no figures, some typos corrected, two references
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Non-Abelian spin-orbit gauge: Persistent spin helix and quantum square ring
We re-express the Rashba and Dresselhaus interactions as non-Abelian
spin-orbit gauges and provide a new perspective in understanding the persistent
spin helix [Phys. Rev. Lett. 97, 236601 (2006)]. A spin-orbit interacting
system can be transformed into a free electron gas in the equal-strength
Rashba-Dresselhaus [001] linear model, the Dresselhaus [110] linear model, and
a one-dimensional system. A general tight-binding Hamiltonian for non-uniform
spin-orbit interactions and hoppings along arbitrary directions, within the
framework of finite difference method, is obtained. As an application based on
this Hamiltonian, a quantum square ring in contact with two ideal leads is
found to exhibit four states, insulating, spin-filtering, spin-flipping, and
spin-keeping states.Comment: 7 pages, 3 figure
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