Charge dynamics and »in plane» magnetic field I: Rashba-Dresselhauss interaction, Majorana fermions and Aharonov-Casher theorems

The two-dimensional charge transport with parallel (in plane) magnetic field is considered from the physical and mathematical point of view. To this end, we start with the magnetic field parallel to the plane of charge transport, in sharp contrast to the configuration described by the theorems of Ah...

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Autor principal: Cirilo-Lombardo, D.J
Formato: Capítulo de libro
Lenguaje:Inglés
Publicado: World Scientific Publishing Co. Pte Ltd 2015
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100 1 |a Cirilo-Lombardo, D.J. 
245 1 0 |a Charge dynamics and »in plane» magnetic field I: Rashba-Dresselhauss interaction, Majorana fermions and Aharonov-Casher theorems 
260 |b World Scientific Publishing Co. Pte Ltd  |c 2015 
270 1 0 |m Cirilo-Lombardo, D.J.; Instituto de Fisica Del Plasma, CONICETArgentina 
506 |2 openaire  |e Política editorial 
504 |a Aharonov, Y., Casher, A., (1979) Phys. Rev. A, 19, p. 2461 
504 |a Shapere, A., Wilczek, F., (1989) Geometric Phases in Physics, , World Scientific, Singapore 
504 |a Berry, M.V., (1984) Proc. R. Soc. London Ser. A, 392, p. 45 
504 |a Aharonov, Y., Anandan, J., (1987) Phys. Rev. Lett., 58, p. 1593 
504 |a Aharonov, Y., Casher, A., (1984) Phys. Rev. Lett., 53, p. 319 
504 |a Hatano, N., (2007) Phys. Rev.A, 75, p. 032107 
504 |a Cheng, T.C., (2011) Phys. Rev B, 76, p. 214423 
504 |a Cirilo-Lombardo, D.J., (2008) Phys. Lett. B, 661, pp. 186-191 
504 |a Cirilo-Lombardo, D.J., (2007) Found. Phys., 37, pp. 919-950 
504 |a Cirilo-Lombardo, D.J., (2009) Found. Phys., 39, pp. 373-396 
504 |a Cirilo-Lombardo, D.J., (2012) European Phys. J. C, 72, p. 2079 
504 |a Cirilo-Lombardo, D.J., Afonso, V.I., (2012) Phys. Lett. A, 376, pp. 3599-3603 
504 |a Cirilo-Lombardo, D.J., Prudencio, T., (2014) Int. J. Geom. Methods Mod. Phys., 11, p. 1450067 
504 |a Valin-Rodriguez, M., Nazmitdinov, R.G., (2006) Phys. Rev. B, 73, p. 235306 
504 |a Majorana, E., (1937) Nuovo Cimento, 14 (171) 
504 |a Nadj-Perge, S., (2014) Science, 346, pp. 602-607 
504 |a Fujita, T., (2011) J. Appl. Phys., 110, p. 121301 
504 |a Franz, M., (2013) Nat. Nanotech., 8, pp. 149-152. , arXiv: 1302.3641 
520 3 |a The two-dimensional charge transport with parallel (in plane) magnetic field is considered from the physical and mathematical point of view. To this end, we start with the magnetic field parallel to the plane of charge transport, in sharp contrast to the configuration described by the theorems of Aharonov and Casher where the magnetic field is perpendicular. We explicitly show that the specific form of the arising equation enforces the respective field solution to fulfill the Majorana condition. Consequently, as soon any physical system is represented by this equation, the rise of fields with Majorana type behavior is immediately explained and predicted. In addition, there exists a quantized particular phase that removes the action of the vector potential producing interesting effects. Such new effects are able to explain due to the geometrical framework introduced, several phenomenological results recently obtained in the area of spintronics and quantum electronic devices. The quantum ring as spin filter is worked out in this framework and also the case of the quantum Hall effect. © 2015 World Scientific Publishing Company.  |l eng 
536 |a Detalles de la financiación: Consejo Nacional de Investigaciones Científicas y Técnicas 
536 |a Detalles de la financiación: Joint Institute for Nuclear Research, JINR 
536 |a Detalles de la financiación: Consejo Nacional de Investigaciones Científicas y Técnicas 
536 |a Detalles de la financiación: Instituto de Fisica del Plasma (INFIP) Consejo Nacional de Investigaciones Cientificas y Tecnicas (CONICET), Buenos Aires, Argentina and 
536 |a Detalles de la financiación: We are very grateful to the CONICET (Argentina) for financial support and the Bogoliubov Laboratory of Theoretical Physics (JINR) Directorate for their hospitality and support where part of this research was made. 
593 |a Instituto de Fisica Del Plasma, CONICET, Buenos Aires, Argentina 
593 |a Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, Dubna, Moscow region, 141980, Russian Federation 
690 1 0 |a GROUP THEORY 
690 1 0 |a MAJORANA 
690 1 0 |a NANOSTRUCTURES 
690 1 0 |a TOPOLOGY 
773 0 |d World Scientific Publishing Co. Pte Ltd, 2015  |g v. 12  |k n. 9  |p Int. J. Geom. Methods Mod. Phys.  |x 02198878  |t International Journal of Geometric Methods in Modern Physics 
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856 4 0 |u https://doi.org/10.1142/S0219887815500887  |y DOI 
856 4 0 |u https://hdl.handle.net/20.500.12110/paper_02198878_v12_n9_p_CiriloLombardo  |y Handle 
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