scholarly journals Four kinds of raising and lowering operators of three-dimensional isotropic harmonic oscillators with spin-orbit coupling

2004 ◽  
Vol 53 (5) ◽  
pp. 1280
Author(s):  
Fu Mei-Huan ◽  
Ren Zhong-Zhou
Keyword(s):  
Three Dimensional ◽  
Orbit Coupling ◽  
Harmonic Oscillators ◽  
Spin Orbit Coupling ◽  
Spin Orbit ◽  
Raising And Lowering Operators ◽  
Lowering Operators

Weakly interacting spinor Bose–Einstein condensates with three-dimensional spin–orbit coupling

2016 ◽  
Vol 25 (4) ◽  
pp. 040305 ◽  
Author(s):  
Shu-Wei Song ◽  
Rui Sun ◽  
Hong Zhao ◽  
Xuan Wang ◽  
Bao-Zhong Han
Keyword(s):  
Three Dimensional ◽  
Orbit Coupling ◽  
Spin Orbit Coupling ◽  
Spin Orbit ◽  
Weakly Interacting ◽  
Bose Einstein

scholarly journals Exotic pairing states in a Fermi gas with three-dimensional spin-orbit coupling

2013 ◽  
Vol 87 (6) ◽  
Author(s):  
Xiang-Fa Zhou ◽  
Guang-Can Guo ◽  
Wei Zhang ◽  
Wei Yi
Keyword(s):  
Three Dimensional ◽  
Fermi Gas ◽  
Orbit Coupling ◽  
Spin Orbit Coupling ◽  
Spin Orbit

scholarly journals Irreversible Thermodynamics at Surfaces: Inverse Edelstein Effect for Topological Insulator

2021 ◽  
Author(s):  
Wayne M. Saslow
Keyword(s):  
Topological Insulator ◽  
Three Dimensional ◽  
Irreversible Thermodynamics ◽  
Orbit Coupling ◽  
Spin Accumulation ◽  
Spin Orbit Coupling ◽  
Spin Orbit ◽  
Charge Current ◽  
Flux Incident ◽  
Strong Spin

We employ Onsager’s irreversible thermodynamics (IrTh) to study the Inverse Edelstein effect (IEE) for a non-magnetic material (NM) adjacent to a topological insulator (TI) with a strong spin-orbit interaction. The TI surface state region is treated as quasi two-dimensional (2d). For the IEE, the source is a 3d spin flux incident from the NM that converts, at the NM/TI interface, to a quasi-2d charge current in the TI. For the Edelstein Effect (EE), the source is a quasi-2d charge flux incident from the TI that converts, at the interface, to a three-dimensional (3d) spin flux in the NM. For strong spin-orbit coupling, as considered here, when the 3d spin flux crosses to the 2d TI, the quasi-2d charge current is produced along with a quasi-2d spin accumulation. (For weak spin-orbit coupling, production of charge current and of spin accumulation are distinct processes.) We compute the associated rates of heating.

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