DYNAMIC MAGNETOELECTRIC AND CHARGE-HALL EFFECTS IN THE RASHBA–DRESSELHAUS MODEL

2006 ◽  
Vol 20 (29) ◽  
pp. 4937-4946 ◽  
Author(s):  
V. V. BRYKSIN ◽  
P. KLEINERT

In a biased two-dimensional electron gas, the presence of spin-orbit coupling of both the Rashba and Dresselhaus type leads to a Hall conductivity of charge carriers in the absence of an external magnetic field. We study the dynamical charge-Hall effect, the field-induced spin accumulation, and the magnetoelectric effect for a system with short-range elastic impurity scattering by analytically solving the kinetic equations for the spin-density matrix in the linear response regime. By tuning the strength of the Rashba and Dresselhaus spin-orbit coupling as well as the frequency and direction of the applied electric field, eigenmodes of the spin-coupled system are identified.

Author(s):  
Klaus Morawetz

Systems with spin-orbit coupling and magnetic fields exhibit a SU(2) structure. Large classes of materials and couplings can be written into an effective spin-orbit coupled Hamiltonian with Pauli structure. Appropriate kinetic equations are derived keeping the quantum spinor structure. It results in coupled kinetic equations of scalar and vector distributions. The spin-orbit coupling, the magnetic field and the vector part of the selfenergy can be written in terms of an effective Zeeman field which couples both distributions. The currents and linear response are derived and the anomalous parts due to the coupling of the occurring band splitting are discussed. The response in magnetic fields reveals subtle retardation effects from which the classical and quantum Hall effect result as well as anomalous Hall effects. As application the dynamical conductivity of grapheme is successfully calculated and compared to the experiments.


2013 ◽  
Vol 103 (3) ◽  
pp. 032406 ◽  
Author(s):  
A. V. Vedyayev ◽  
M. S. Titova ◽  
N. V. Ryzhanova ◽  
M. Ye. Zhuravlev ◽  
E. Y. Tsymbal

2006 ◽  
Vol 955 ◽  
Author(s):  
Ç. Kurdak ◽  
N. Biyikli ◽  
H. Cheng ◽  
U. Ozgur ◽  
H. Morkoç ◽  
...  

ABSTRACTWe studied spin-orbit coupling in wurtzite AlxGa1−xN/AlN/GaN heterostructures with different Al concentrations using weak antilocalization measurements at 1.6 K. Using the persistent photoconductivity effect we change the carrier density in controllable manner. We find that the electron spin splitting energies does not scale linearly with the Fermi wavevector at high carrier densities. From this deviation, for the first time, we are able to extract the cubic spin-orbit parameter for this material system.


2004 ◽  
Vol 825 ◽  
Author(s):  
C. F. Destefani ◽  
Sergio E. Ulloa ◽  
G. E. Marques

We make a detailed analysis of each possible spin-orbit coupling of zincblende narrow-gap cylindrical quantum dots built in a two-dimensional electron gas. These couplings are related to both bulk (Dresselhaus) and structure (Rashba) inversion asymmetries. We study the competition between electron-electron and spin-orbit interactions on electronic properties of 2-electron quantum dots.


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