Driven flow with exclusion and spin-dependent transport in graphenelike structures

Physical Review. E
S L A de Queiroz, R B Stinchcombe

Abstract

We present a simplified description for spin-dependent electronic transport in honeycomb-lattice structures with spin-orbit interactions, using generalizations of the stochastic nonequilibrium model known as the totally asymmetric simple exclusion process. Mean field theory and numerical simulations are used to study currents, density profiles, and current polarization in quasi-one-dimensional systems with open boundaries, and externally imposed particle injection (α) and ejection (β) rates. We investigate the influence of allowing for double site occupancy, according to Pauli's exclusion principle, on the behavior of the quantities of interest. We find that double occupancy shows strong signatures for specific combinations of rates, namely high α and low β, but otherwise its effects are quantitatively suppressed. Comments are made on the possible relevance of the present results to experiments on suitably doped graphenelike structures.

References

Jul 1, 1996·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics· de Queiroz SL, R B Stinchcombe
Sep 15, 1989·Physical Review. B, Condensed Matter·T Ando
Mar 23, 2002·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·R Bundschuh
Oct 10, 2006·Physical Review Letters·Tobias ReichenbachErwin Frey
Oct 15, 2008·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·S L A de Queiroz, R B Stinchcombe
Mar 15, 2011·Journal of Physics. Condensed Matter : an Institute of Physics Journal·E R Mucciolo, C H Lewenkopf
Aug 12, 2009·Journal of Physics. Condensed Matter : an Institute of Physics Journal·N M R Peres
Jun 12, 2012·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·R B Stinchcombe, S L A de Queiroz
Nov 16, 2013·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·R B StinchcombeBelita Koiller
Mar 4, 2014·Physical Review Letters·Aires FerreiraA H Castro Neto
Jun 13, 2015·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·R B Stinchcombe, S L A de Queiroz
Aug 31, 2016·Physical Review. E·R B Stinchcombe, S L A de Queiroz

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