research

media type="custom" key="20706646"
 * ~ // Effects of Rashba-Dresselhaus competition in 2D two-component spinor BEC // ||
 * [[image:dancingalpha.gif caption=""Dancing bands": as the spin-orbit coupling mixing angle changes, the two bands dance periodically."]] || The total Hamiltonian of my model,

Neglecting the harmonic potential, we have the homogeneous model, media type="custom" key="20697098" from which I obtained two branches media type="custom" key="20697124" ||
 * [[image:lowbranch.gif caption="The lower branch. An O(2) phase exists between two distinct Z_2 phases."]] || There is a linear touching point at zero momentum point but a finite Zeeman field h will lift the degeneracy.

Next I demonstrated that the minima are always located along diagonal directions.

Rewrite the momenta in two directions in terms of a single complex quantity media type="custom" key="20697146".

I found, media type="custom" key="20697150" and finally I arrived at the condition media type="custom" key="20706590" ||
 * [[image:lowbranchimg.gif]] ||  ||