Hopping transport in two-dimensional systems with spin-orbit interaction in external magnetic field

2005 ◽  
Vol 100 (2) ◽  
pp. 314-321 ◽  
Author(s):  
V. V. Bryksin
Keyword(s):  
Magnetic Field ◽  
External Magnetic Field ◽  
Orbit Interaction ◽  
Spin Orbit ◽  
Two Dimensional ◽  
Spin Orbit Interaction ◽  
Hopping Transport

scholarly journals Flat-band conditions influenced by spin-orbit interaction in the presence of external magnetic field

2021 ◽  
Vol 11 (5) ◽  
pp. 171-179
Author(s):  
Nóra Kucska ◽  
Zsolt Gulácsi
Keyword(s):  
Magnetic Field ◽  
External Magnetic Field ◽  
Orbit Interaction ◽  
Flat Band ◽  
Spin Orbit Coupling ◽  
Spin Orbit ◽  
Many Body ◽  
Spin Orbit Interaction ◽  
Coupling Strengths

We deduct conditions for the Hamiltonian coupling strengths necessary to achieve flat bands in polymers (i.e. a pentagon chain) considering many-body spin-orbit coupling and external magnetic field. We consider itinerant electrons on pentagon chains with first neighbour hoppings, on-site electron potentials and spin-flip first neighbour hoppings representing the Rashba type spin-orbit interaction (SOI). The external magnetic field is also present in the system via the Peierls phase factors. The band structure is obtained by solving the secular equation of the diagonalized one particle part of the Hamiltonian in k-space (momentum-space). The flat band conditions make the bands k-independent, providing a highly a degenerate state, which gives broad possibilities for applications. In our work we have shown how the SOI is able to relax the strict, rigid flat band conditions given by the Hamiltonian coupling strengths. The role of the external magnetic field was also investigated.

Exploration of perturbed dyonic theories

2009 ◽  
Vol 87 (10) ◽  
pp. 1059-1064
Author(s):  
S. C. Joshi
Keyword(s):  
Magnetic Field ◽  
External Magnetic Field ◽  
Energy Level ◽  
Harmonic Oscillator ◽  
Weak Magnetic Field ◽  
Energy Levels ◽  
Orbit Interaction ◽  
Spin Orbit ◽  
Spin Orbit Interaction ◽  
Degenerate States

By extending the study of dyonic harmonic oscillator and dyonium in the presence of an external magnetic field, the possibility of observation of dyons has been explored. The splitting in energy levels of dyonium under the influence of a weak magnetic field has been undertaken with inclusion of spin-orbit interaction, and it is observed that the energy level splits into nondegenerate as well doubly degenerate states. The effect of a strong magnetic field on dyonium has also been carried out by treating spin-orbit interaction as a perturbation, leading to interesting results.

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