Spin-orbit coupling, electron transport and pairing instabilities in two-dimensional square structures

Abstract

Rashba spin-orbit effects and electron correlations in the two-dimensional cylindrical lattices of square geometries are assessed using mesoscopic two-, three- and four-leg ladder structures. Here the electron transport properties are systematically calculated by including the spin-orbit coupling in tight binding and Hubbard models threaded by a magnetic flux. These results highlight important aspects of possible symmetry breaking mechanisms in square ladder geometries driven by the combined effect of a magnetic gauge field spin-orbit interaction and temperature. The observed persistent current, spin and charge polarizations in the presence of spin-orbit coupling are driven by separation of electron and hole charges and opposite spins in real-space. The modeled spin-flip processes on the pairing mechanism induced by the spin-orbit coupling in assembled nanostructures (as arrays of clusters) engineered in various two-dimensional multi-leg structures provide an ideal playground for understanding spatial charge and spin density inhomogeneities leading to electron pairing and spontaneous phase separation instabilities in unconventional superconductors. Such studies also fall under the scope of current challenging problems in superconductivity and magnetism, topological insulators and spin dependent transport associated with numerous interfaces and heterostructures.

Enhanced spin-orbit coupling and orbital moment in ferromagnets by electron correlations

“…( 9), because the Coulomb interaction becomes important with the decreased screening effect at the interfaces. It is noted that the Hubbard model with SOC has been extensively studied, where the SOC can induce the Dzyaloshinski-Moriya interaction and the pesudo-dipolar interaction [29,[34][35][36][37][38][39][40][41][42][43][44][45].…”

Spin Hall effect in Rashba-Dresselhaus planar strips in the presence of electron correlations

“…There are various studies of models including SO and Hubbard interactions in one-and two-dimensions. Most of these studies have only considered the Rashba SOC [34][35][36][37] but there are also studies where both RSOC and DSOC were involved [38].…”