Van Der Waals Heterostructures with Spin-Orbit Coupling

Herein, recent work on van der Waals (vdW) systems in which at least one of the components has strong spin-orbit coupling is reviewed, focussing on a selection of vdW heterostructures to exemplify the type of interesting electronic properties that can arise in these systems. First a general effective model to describe the low energy electronic degrees of freedom in these systems is presented. The model is then applied to study the case of (vdW) systems formed by a graphene sheet and a topological insulator. The electronic transport properties of such systems are discussed and it is shown how they exhibit much stronger spin-dependent transport effects than isolated topological insulators. Then, vdW systems are considered in which the layer with strong spin-orbit coupling is a monolayer transition metal dichalcogenide (TMD) and graphene-TMD systems are briefly discussed. In the second part of the article, a case is discussed in which the vdW system includes a superconducting layer in addition to the layer with strong spin-orbit coupling. It is shown in detail how these systems can be designed to realize odd-frequency superconducting pair correlations. Finally, twisted graphene-NbSe2 bilayer systems are discussed as an example in which the strength of the proximity-induced superconducting pairing in the normal layer, and its Ising character, can be tuned via the relative twist angle between the two layers forming the heterostructure.     

Chaos in a Quantum Dot with Spin-Orbit Coupling

Level statistics and nodal point distribution in a rectangular semiconductor quantum dot are studied for different degrees of spin-orbit coupling. The chaotic features occurring from the spin-orbit coupling have no classical counterpart. Using experimental values for GaSb/InAs/GaSb semiconductor quantum wells we find that level repulsion can lead to the semi-Poisson distribution for nearest level separations. Nodal lines and nodal points are also investigated. Comparison is made with nodal point distributions for fully chaotic states.     

自旋轨道耦合引起的电偶极矩

文章介绍了由于自旋轨道耦合导致的电子的电偶极矩在自旋电子学理论中的基本意义.研究发现,该电偶极矩与自旋流张量的反对称部分直接相关.它不仅直接导致可观测的电磁学效应,而且与电子在电场受到的力以及力矩有关,从而为自旋的电子学操控提供了可能.     

Correlation Renormalized and Induced Spin-Orbit Coupling

Interplay of spin-orbit coupling(SOC) and electron correlation generates a bunch of emergent quantum phases and transitions, especially topological insulators and topological transitions. We find that electron correlation will induce extra large SOC in multi-orbital systems under atomic SOC and change ground state topological properties. Using the Hartree–Fock mean field theory, phase diagrams of px/py orbital ionic Hubbard model on honeycomb lattice are well studied. In general, correction of s...     

Spin-Orbit Coupling in Deformed Harmonic Traps

We consider a two-dimensional system of harmonically trapped particles with pseudo-spin- \({\frac{1}{2}}\) degree of freedom. This degree of freedom is coupled to the particle’s momentum via the so-called Rashba spin-orbit interaction. We present our numerical results for a single-particle and few-particle systems, assuming the repulsive interparticle interaction to be of zero range.     

The Two Dimensional Kondo Model with Rashba Spin-Orbit Coupling

We investigate the effect that Rashba spin-orbit coupling has on the low energy behaviour of a two dimensional magnetic impurity system. It is shown that the Kondo effect, the screening of the magnetic impurity at temperatures T<T _K , is robust against such spin-orbit coupling, despite the fact that the spin of the conduction electrons is no longer a conserved quantity. A proposal is made for how the spin-orbit coupling may change the value of the Kondo temperature T _K in such systems and the prospects of measuring this change are discussed. We conclude that many of the assumptions made in our analysis invalidate our results as applied to recent experiments in semi-conductor quantum dots but may apply to measurements made with magnetic atoms placed on metallic surfaces.     

Rabi-coupled Binary Bose-Einstein Condensates with Spatially Modulated Nonlinear Spin-Orbit Coupling

International Journal of Theoretical Physics - We study the ground-state phases of Rabi-coupled two-component Bose-Einstein condensates with rotation and spatially modulated nonlinear spin-orbit...     

Topological Insulators on the Ruby Lattice with Rashba Spin-Orbit Coupling

We investigate a tight-binding model of the ruby lattice with Rashba spin-orbit coupling. We calculate the band structure of the lattice and evaluate the Z2 topological indices. According to the Z2 topological indices and the band structure, we present the phase diagrams of the lattice with different filling fractions. We find that topological insulators occur in some range of parameters at 1/6, 1/3, 1/2, 2/3 and 5/6 filling fractions. We analyze and discuss the characteristics of these topological insulators and their edge states.     

Topological Insulators on the Ruby Lattice with Rashba Spin-Orbit Coupling

We investigate a tight-binding model of the ruby lattice with Rashba spin-orbit coupling. We calculate the band structure of the lattice and evaluate the Z₂ topological indices. According to the Z₂ topological indices and the band structure, we present the phase diagrams of the lattice with different filling fractions. We find that topological insulators occur in some range of parameters at 1/6, 1/3, 1/2, 2/3 and 5/6 filling fractions. We analyze and discuss the characteristics of these topological insulators and their edge states.     

Conductance for a Quantum Wire with Weak Rashba Spin-Orbit Coupling

We theoretically study the low temperature electron transport properties of a weak Rashba spin-orbit coupling （SOC） semiconductor quantum wire connected nonadiabatically to two electrode leads without SOC. The wire and the leads are defined by a parabolic confining potential, and the influence of both the wire-lead connection and the Rashba SOC on the electron transport is treated analytically by means of scattering matrix within effective free-electron approximation. From analytical analysis and numerical examples, we find that the system shows some fractional quantum conductance behaviour, and for some particular wire width a pure spin polarized current exists. Our result may imply a simple method for the design of a spin filter without involving any magnetic materials or magnetic fields.     

Fe-Ga磁致伸缩合金自旋轨道耦合效应研究

磁致伸缩和磁晶各向异性来源于自旋轨道耦合及晶体场效应,两种效应作用效果将对Fe-Ga大磁致伸缩合金研究方向将起指导作用.通过基于均匀梯度近似的线形缀加平面波法研究了Fe-Ga磁致伸缩合金中D03、B2-like、L12结构在施加自旋轨道耦合效应前后Fe原子3d轨道劈裂情况,轨道电子数及磁晶各向异性.结果表明,自旋轨道耦合效应可以进一步劈裂D03及L12立方结构晶体场,D03和L12结构中Fe原子3d轨道电子数,尤其是dxy和d(x2-y2)轨道下自旋电子数由于自旋轨道耦合作用发生改变;但自旋轨道耦合对B2-like结构作用微弱.Fe-Ga磁致伸缩合金中磁晶各向异性主要由晶体场效应决定.     

The Effect of Spin-Orbit Coupling and Spin-Spin Coupling of Compact Binaries on Chaos

There are spin-orbit interaction and spin-spin interaction in a generic post-Newtonian Lagrangian formu-lation of comparable mass spinning compact binaries. The spin-orbit coupling or the spin-spin coupling plays a quite important role in changing the evolution of the system and may sometime cause chaotic behavior. How do the two types of couplings exert together any influences on chaos in this formulation? To answer it, we simply take the Lagrangian formulation of a special binary system, including the Newtonian term and the leading-order spin-orbit and spin-spin couplings. The key to this question can be found from a Hamiltonian formulation that is completely identical to the Lagrangian formulation. If the Lagrangian does not include the spin-spin coupling, its equivalent Hamiltonian has an additional term (i.e. the next-order spin-spin coupling) as well as those terms of the Lagrangian. The spin-spin coupling rather than the spin-orbit coupling makes the Hamiltonian typically nonintegrable and probably chaotic when two objects spin. When the leading-order spin-spin coupling is also added to the Lagrangian, it still appears in the Hamiltonian. In this sense, the total Hamiltonian contains the leading-order spin-spin coupling and the next-order spin-spin coupling, which have different signs. Therefore, the chaos resulting from the spin-spin interaction in the Legrangian formulations is somewhat weakened by the spin-orbit coupling.     

Inverse Spin Hall Effect in Two-Terminal Device with Rashba Spin-Orbit Coupling

We report a theoretic study on the inverse spin-Hall effect （ISHE） in a two-terminal nano-device that consists of a two-dimensional electron gas （2DEG） with Rashba spin-orbit coupling （RSOC） and two ideal leads. Based on a two-site toy model and Keldysh Green＇s function method, we derive an analytic result of ISHE, which shows clearly that a nonzero transverse charge current stems from the combined effect of the RSOC, the spin bias, and its spin polarization direction in spin space. Our further numerical calculations in a larger system other than two-site lattice model demonstrate that the transverse charge current, dependent on the strength of the RSOC, the Fermi energy of the system, as well as the system size, can exhibit oscillating behavior and even reverse its sign due to Rashba spin precession. These properties may be helpful for eficient detection of the spin current （spin bias） by measuring the transverse charge current in a spin-orbital coupling system.     

The Effect of Spin-Orbit Coupling and Spin-Spin Coupling of Compact Binaries on Chaos

There are spin-orbit interaction and spin-spin interaction in a generic post-Newtonian Lagrangian formulation of comparable mass spinning compact binaries. The spin-orbit coupling or the spin-spin coupling plays a quite important role in changing the evolution of the system and may sometime cause chaotic behavior. How do the two types of couplings exert together any influences on chaos in this formulation? To answer it, we simply take the Lagrangian formulation of a special binary system, including the Newtonian term and the leading-order spin-orbit and spin-spin couplings. The key to this question can be found from a Hamiltonian formulation that is completely identical to the Lagrangian formulation. If the Lagrangian does not include the spin-spin coupling, its equivalent Hamiltonian has an additional term(i.e. the next-order spin-spin coupling) as well as those terms of the Lagrangian. The spin-spin coupling rather than the spin-orbit coupling makes the Hamiltonian typically nonintegrable and probably chaotic when two objects spin. When the leading-order spin-spin coupling is also added to the Lagrangian, it still appears in the Hamiltonian.In this sense, the total Hamiltonian contains the leading-order spin-spin coupling and the next-order spin-spin coupling,which have different signs. Therefore, the chaos resulting from the spin-spin interaction in the Legrangian formulations is somewhat weakened by the spin-orbit coupling.     

Chaotic Cyclotron and Hall Trajectories Due to Spin-Orbit Coupling

It is demonstrated that the synergistic effect of a gauge field, Rashba spin-orbit coupling (SOC), and Zeeman splitting can generate chaotic cyclotron and Hall trajectories of particles. The physical origin of the chaotic behavior is that the SOC produces a spin-dependent (so-called anomalous) contribution to the particle velocity and the presence of Zeeman field reduces the number of integrals of motion. By using analytical and numerical arguments, the conditions of chaos emergence are studied and the dynamics both in the regular and chaotic regimes is reported. The critical dependence of the dynamic patterns (such as the chaotic regime onset) on small variations in the initial conditions and problem parameters, that is the SOC and/or Zeeman constants, is observed. The transition to chaotic regime is further verified by the analysis of phase portraits as well as Lyapunov exponents spectrum. The considered chaotic behavior can occur in solid state systems, weakly relativistic plasmas, and cold atomic gases with synthetic gauge fields and spin-related couplings.     

Spin-Orbit Coupling Induced Phase Separation in Spin-1 Condensate with Optical Lattice

We study a spin-orbit (SO) coupled hyperfine spin-1 Bose-Einstein condensate in a quasi-one-dimensional harmonic potential combined with an optical lattice. The ground state structure is obtained by numerically solving the Gross-Pitaevskii equation. We conclude that the phase separation between the m_F = ± 1 components, in particular the stripe pattern (SP), can be formed under the condition of increasing the SO coupled strength and the simultaneous decrease in the magnetization. In addition, we also plot the phase diagram showing regions where the solution is a SP.

     

Emerging Edge States in the Monolayer FeSe Superconductor with the Spin-Orbit Coupling

JETP Letters - Previously, the monolayer FeSe superconductor can be described qualitatively based on a two-orbital model. We here proposed theoretically that the edge states and vortex induced zero...     

碘代乙烷分子光解离的自旋轨道从头计算理论研究

采用从头计算的二阶多组态准简并微扰理论和二阶自旋轨道多组态准简并微扰理论计算了碘代乙烷C2H5I分子与基态 原子和激发态 原子解离极限相关联的势能曲线。C2H5I分子的势能曲线表明除了 （ ）态外几个低激发态都为排斥态, 电子态在RC-I=0.346nm处有337cm-1的一个浅势阱。 （ ）和 (21A’, 11A’’)电子态的垂直激发能计算表明C2H5I分子的A带吸收谱的波长区间为33478cm-1 - 44150cm-1（226nm -299nm）,这与实验给出的(243nm-285nm)波长区间吻合较好。     

Generation and Manipulation of Spin-Orbit Coupling mode via Four-Wave Mixing with Quantum Interference

Recently, the vectorial nonlinear optical processes driven by spin-orbit coupling (SOC) light have come to the fore, leading to striking optical phenomena and important applications both in classical and quantum optics. However, research on the SOC-mediated light-atom interactions is still in its infancy. Here, the generation and manipulation of SOC mode through a vectorial four-wave mixing (FWM) process in ⁸⁵Rb vapor is demonstrated. Under the excitation of two SOC pump beams, multiple FWM paths can be simultaneously established due to the rich atomic Zeeman sublevels coupling with different circularly polarized components of SOC fields. A higher-order cylindrical or more general SOC FWM signal is observed in the vectorial FWM process, which obeys angular momentum conservation and Gouy phase matching. In particular, quantum interference between different FWM paths plays a crucial role in manipulating the SOC mode of the generated FWM signal, revealing that the conversion of SOC mode is intrinsically quantum. This work provides a pathway toward deeper insight into the vectorial nonlinear optical processes and may advance technology for shaping spatially structured light, which is essential in applications such as nonlinear polarization imaging and the optical communication realm.