Peralta Gavensky, Lucila (2022) Transporte cuántico en dispositivos híbridos superconductores con propiedades topológicas / Quantum transport in hybrid superconducting devices with topological properties. Tesis Doctoral en Física, Universidad Nacional de Cuyo, Instituto Balseiro.
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Resumen en español
A lo largo de esta tesis estudiamos las propiedades espectrales y de transporte de una variedad de dispositivos de estado sólido compuestos de materiales superconductores y no superconductores. Mostramos cómo los estados de cuasipartícula de Bogoliubov que viven cerca de estas interfaces pueden ser utilizados tanto para diseñar hamiltonianos topológicamente no triviales en un espacio de parámetros artificial como para desentrañar las propiedades topológicas de un material subyacente empleado para construir el dispositivo de interés. En primera instancia nos enfocamos en el estudio de multijunturas Josephson como plataformas que pueden imitar artificialmente materia cuántica topológica. Identificamos al invariante topológico que caracteriza estos sistemas como el número de winding de la función de Green de Bogoliubov-de Gennes de estas junturas, una cantidad que puede ser detectada midiendo transconductancias entre dos terminales en las que se aplica una diferencia de potencial. Adicionalmente, proponemos una forma de inducir propiedades tipológicas en una juntura al aplicar una perturbación dependiente del tiempo en forma periódica que lleva al sistema hacia una fase topológica de Floquet. Asimismo, estudiamos cómo la transconductancia de un dispositivo multiterminal puede ser utilizada para revelar la presencia de cuasipartículas de Majorana en los extremos de los reservorios que lo constituyen. En la segunda parte de la tesis nos enfocamos en el estudio de las propiedades de transporte de junturas entre muestras en el régimen Hall cuántico y superconductores. Discutimos cómo en la interfaz entre estas dos fases de la materia emergen Bogoliubones propagantes (conocidos como estados quirales de Andreev) y analizamos posibles experimentos de transporte para detectarlos. Estudiamos las propiedades físicas de junturas Josephson donde tanto superconductores convencionales como topológicos se acoplan a través de los estados de borde quirales de una muestra Hall. Discutimos cómo los perles de supercorriente crítica y la característica corriente-voltaje de estas junturas pueden ser usados como un sello distintivo del transporte mediado por estados quirales en estos dispositivos híbridos.
Resumen en inglés
In this thesis, we study the transport and spectral properties of a variety of solidstate devices comprising both superconducting and non-superconducting materials. We show that Bogoliubov quasiparticle states living near the interfaces of such materials could be used either to construct non-trivial topological Hamiltonians in an articial parameter space or to unravel the topological properties of an underlying material employed to build up the device of interest. In the rst part of this dissertation, we study multiterminal Josephson junctions as platforms that can potentially realize articial topological quantum matter. We identify the topological invariant characterizing these systems as the winding number of the Bogoliubov-de Gennes Green's function of such junctions, a quantity which may be detected by measuring transconductances between a couple of voltage-biased terminals. In addition, we put forward a way of inducing topological properties in an otherwise trivial junction by applying a time-dependent periodic perturbation that leads the system to a Floquet topological phase. We furthermore analyse how the transconductance of a multiterminal device could be used to unveil the presence of Majorana quasiparticles living at the edges of its constituent reservoirs. In the second part of this thesis, we focus on the study of transport properties of junctions between quantum Hall samples and superconductors. We discuss how propagating Bogoliubons (known as chiral Andreev edge states) emerge at the interface between these two phases of matter and possible transport experiments to detect them. We also study the physics of Josephson junctions where either conventional or topological superconductors are coupled via chiral quantum Hall edge channels. We discuss how the critical supercurrent proles and the current-voltage characteristics of such junctions could be used as a hallmark of chiral edge mediated transport in these hybrid devices.
| Tipo de objeto: | Tesis (Tesis Doctoral en Física) |
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| Palabras Clave: | Topology; Topología; Superconductivity; Superconductores; Josephson junctions; Uniones de Josephson; [Quantum transport; Transporte cuántico] |
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URL https://link.aps.org/doi/10.1103/PhysRevB.104.115435. 159, 173, 196 |
| Materias: | Física > Topología en materia condensada |
| Divisiones: | Gcia. de área de Investigación y aplicaciones no nucleares > Gcia. de Física > Materia condensada > Teoría de sólidos |
| Código ID: | 1081 |
| Depositado Por: | Tamara Cárcamo |
| Depositado En: | 14 Jul 2022 12:26 |
| Última Modificación: | 14 Jul 2022 12:26 |
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