Spin transport in a chain of polygonal quantum rings with Dresselhaus spin–orbit coupling

Abstract

Using a transfer matrix method, we investigate spin transport through a chain of polygonal rings with Dresselhaus spin-orbit coupling (DSOC). The spin conductance is dependent on the number of sides in the polygons. When DSOC is considered in a chain which also has Rashba spin-orbit coupling (RSOC) of the same magnitude, the total conductance is the same as that for the same chain with no SOC. However, when the two types of SOC have different values, there results a unique anisotropic conductance.

Spatiotemporal Bloch states of a spin–orbit coupled Bose–Einstein condensate in an optical lattice*

“…The exact solutions Eqs. ( 6) and (7) to the quasistationary Eq. ( 4) are valid if and only if the depth V 0 of the lattice potential obeys the constraint relation Eq.…”

“…Applying Eqs. (7) and (9) to the definitions of the superfluid velocity and density, v j (x) = khΘ jx /m = kha j b j /(mR 2 j ), J j = R 2 j v j = kha j b j /m, after adopting our dimensionless parameters we obtain the superfluid densities and flow velocities…”

“…Spin-orbit coupling (SOC), the interaction between the spin and momentum of a quantum particle, is crucial for many important condensed matter phenomena. [1] Due to the ground breaking work of Dresselhaus and Rashba, and the further theories and experiments they initiated, [2][3][4][5][6][7][8] the physical relevance of SOC can be found. These results were extended to ultracold atomic systems, where various synthetic SOC can be induced and managed by an external laser field.…”