2003/10/13 by E. Tsitsishvili, G. Lozano, G. S. Lozano +2 · 1 citation
Physics and Astronomy · #Condensed matter physics #Coupling (piping) #Electron #Field (mathematics) #Gyromagnetic ratio #Magnetic field #Magnetic moment #Materials science #Physics #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #Quantum dot #Quantum electrodynamics #Quantum mechanics #Relaxation (psychology) #Semiconductor Quantum Structures and Devices #Spin (aerodynamics) #Spin–orbit interaction #Wave function #cond-mat.str-el
paper · pdf · doi:10.1103/physrevb.70.115316
5 pages, 4 figs, reference added
arxiv created 2003/10/13 · openalex publication_date 2004/09/22 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We present an analytic solution to one-particle Schr"odinger equation for an electron in a quantum dot with hard-wall confining potential in the presence of both magnetic field and spin-orbit coupling. Wave-functions, energy levels, and spin-flip relaxation times are calculated to all orders in the spin-orbit coupling and the magnetic field. Without the orbital contribution of the magnetic field, we find that the effective gyromagnetic ratio is strongly suppressed by the spin-orbit coupling. The spin-flip relaxation rate then has a maximum as a function of the spin-orbit coupling and is therefore suppressed in both the weak- and strong-coupling limits. In the presence of the orbital contribution of the magnetic field the effective gyromagnetic ratio changes sign in some cases.