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: JOUR
Materias:
group theory
Majorana
nanostructures
topology
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_02198878_v12_n9_p_CiriloLombardo
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id todo:paper_02198878_v12_n9_p_CiriloLombardo
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spelling todo:paper_02198878_v12_n9_p_CiriloLombardo2023-10-03T15:11:09Z Charge dynamics and »in plane» magnetic field I: Rashba-Dresselhauss interaction, Majorana fermions and Aharonov-Casher theorems Cirilo-Lombardo, D.J. group theory Majorana nanostructures topology 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. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_02198878_v12_n9_p_CiriloLombardo
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic group theory
Majorana
nanostructures
topology
spellingShingle group theory
Majorana
nanostructures
topology
Cirilo-Lombardo, D.J.
Charge dynamics and »in plane» magnetic field I: Rashba-Dresselhauss interaction, Majorana fermions and Aharonov-Casher theorems
topic_facet group theory
Majorana
nanostructures
topology
description 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.
format JOUR
author Cirilo-Lombardo, D.J.
author_facet Cirilo-Lombardo, D.J.
author_sort Cirilo-Lombardo, D.J.
title Charge dynamics and »in plane» magnetic field I: Rashba-Dresselhauss interaction, Majorana fermions and Aharonov-Casher theorems
title_short Charge dynamics and »in plane» magnetic field I: Rashba-Dresselhauss interaction, Majorana fermions and Aharonov-Casher theorems
title_full Charge dynamics and »in plane» magnetic field I: Rashba-Dresselhauss interaction, Majorana fermions and Aharonov-Casher theorems
title_fullStr Charge dynamics and »in plane» magnetic field I: Rashba-Dresselhauss interaction, Majorana fermions and Aharonov-Casher theorems
title_full_unstemmed Charge dynamics and »in plane» magnetic field I: Rashba-Dresselhauss interaction, Majorana fermions and Aharonov-Casher theorems
title_sort charge dynamics and »in plane» magnetic field i: rashba-dresselhauss interaction, majorana fermions and aharonov-casher theorems
url http://hdl.handle.net/20.500.12110/paper_02198878_v12_n9_p_CiriloLombardo
work_keys_str_mv AT cirilolombardodj chargedynamicsandinplanemagneticfieldirashbadresselhaussinteractionmajoranafermionsandaharonovcashertheorems
_version_ 1807317132094996480

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