To realize a one-dimensional (1D) system with strong spin-orbit coupling is a big challenge in modern physics, since the electrons in such a system are predicted to exhibit exotic properties unexpected from the 2D or 3D counterparts, while it was difficult to realize genuine physical properties inherent to the 1D system. We demonstrate the first experimental result that directly determines the ...

We have performed relativistic effective core potential calculations with and without spin-orbit coupling term in the framework of the density functional theory and investigated the geometry and binding energy of different isomers of free platinum clusters Pt(n) (n = 4-6) for the spin multiplicities from singlet to nonet. The spin-orbit coupling effect has been discussed for the minimum-energy ...

Quantum wires with spin-orbit coupling provide a unique opportunity to simultaneously control the coupling strength and the screened Coulomb interactions where new exotic phases of matter can be explored. Here we report on the observation of an exotic spin-orbit density wave in Pb-atomic wires on Si(557) surfaces by mapping out the evolution of the modulated spin-texture at various conditions w...

We investigate hyperfine induced electron spin and entanglement dynamics in a system of two quantum dot spin qubits. We focus on the situation of zero external magnetic field and concentrate on approximation-free theoretical methods. We give an exact solution of the model for homogeneous hyperfine coupling constants with all coupling coefficients being equal and varying exchange coupling, and w...

2 Relativistic theory of NMR shieldings and spin-spin coupling constants 3 2.1 Relativity in quantum chemistry . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 2.2 Nuclear shieldings and spin-spin couplings . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9 2.3 Computational methods . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ....

A giant spin Hamiltonian is often used to describe the low temperature magnetic behavior in single-molecule magnets (SMMs). By addressing only the ground state multiplet, the Hilbert space is reduced significantly allowing for numerical simulation of a wide body of experimental data. Analysis of the [Ni(hmp)(dmb)Cl]4 SMM using the giant spin model is compared to a four-ion model which addresses...

We propose a method for quantum computation which uses control of spin-orbit coupling in a linear array of single electron quantum dots. Quantum gates are carried out by pulsing the exchange interaction between neighboring electron spins, including the anisotropic corrections due to spin-orbit coupling. Control over these corrections, even if limited, is sufficient for universal quantum computa...

The interplay of electron-electron interactions and spin-orbit coupling leads to a new contribution to the homogeneous optical conductivity of the electron liquid. The latter is known to be insensitive to many-body effects for a conventional electron system with parabolic dispersion. The parabolic spectrum has its origin in the Galilean invariance which is broken by spin-orbit coupling. This op...

We study the correlation function and concurrence for the eigenstates with zero spin of engineered Heisenberg models to explore the entanglement property. It is shown that the total nearest neighbor (NN) correlation function of zero-spin eigenstates reaches its local extremum when the coupling strength is uniform, and correspondingly the groundstate entanglement of d-D cubic AF Heisenberg model...

The nature of chemical bonds in heavy main-group diatomics is discussed from the viewpoint of effective bond orders, which are computed from spin-orbit wave functions resulting from spin-orbit configuration interaction calculations. The reliability of the relativistic correlated wave functions obtained in such two-step spin-orbit coupling frameworks is assessed by benchmark studies of the spect...