Dataciencia

Colección SciELO Chile

The non-commutative topology of two-dimensional dirty superconductors

Indexado

WoS	WOS:000424188500007
Scopus	SCOPUS_ID:85034066094

DOI

10.1016/J.GEOMPHYS.2017.10.016

Año

2018

Tipo

artículo de investigación

Citas Totales

Autores Afiliación Chile

Instituciones Chile

% Participación
Internacional

Autores
Afiliación Extranjera

Instituciones
Extranjeras

Abstract

Non-commutative analysis tools have successfully been applied to the integer quantum Hall effect, in particular for a proof of the stability of the Hall conductance in an Anderson localization regime and of the bulk-boundary correspondence. In this work, these techniques are implemented to study two-dimensional dirty superconductors described by Bogoliubov-de Gennes Hamiltonians. After a thorough presentation of the basic framework and the topological invariants, Kubo formulas for the thermal, thermoelectric and spin Hall conductance are analyzed together with the corresponding edge currents. (C) 2017 Elsevier B.V. All rights reserved.

Revista

Revista	ISSN
Journal Of Geometry And Physics	0393-0440

Métricas Externas

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Disciplinas de Investigación

WOS
Mathematics
Mathematics, Applied
Physics, Mathematical

Scopus
Geometry And Topology
Mathematical Physics
Physics And Astronomy (All)

SciELO
Sin Disciplinas

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Publicaciones WoS (Ediciones: ISSHP, ISTP, AHCI, SSCI, SCI), Scopus, SciELO Chile.

Colaboración Institucional

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Autores - Afiliación

Ord.	Autor	Género	Institución - País
1	De Nittis, Giuseppe	Hombre	Pontificia Universidad Católica de Chile - Chile
2	Schulz-Baldes, Hermann	Hombre	Friedrich Alexander Univ Erlangen Nurnberg - Alemania Univ Nacl Autonoma Mexico - México Friedrich-Alexander-Universität Erlangen-Nürnberg - Alemania Universidad Nacional Autónoma de México - México Universidad Nacional Autónoma de México Campus Morelos - México

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Financiamiento

Fuente
Fondo Nacional de Desarrollo Científico y Tecnológico
Deutsche Forschungsgemeinschaft
DFG
Fondo Nacional de Desarrollo Científico, Tecnológico y de Innovación Tecnológica
grant Initiation en Investigation - FONDECYT
Iniciación en Investigación

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Agradecimientos

Agradecimiento
The first draft of this manuscript dates back about 5 years, and it was somewhat more ambitious than the present manuscript. While this may say something about the authors, it is also due to the fact that physical concepts are harder to unfold and lay out than mathematical results. Along the way we profited from discussions with numerous colleagues, in particular, Martin Zirnbauer and Emil Prodan, whom we wish to thank. Moreover, we thank Varghese Mathai and Guo Thiang for inviting us both to an interesting conference in Adelaide and to contribute to the proceedings. G.D.'s research is supported by the grant Initiation en Investigation 2015-No 11150143 funded by FONDECYT, and that of H.S.-B. by the DFG SCHU 1358, project number 281672735.
The first draft of this manuscript dates back about 5 years, and it was somewhat more ambitious than the present manuscript. While this may say something about the authors, it is also due to the fact that physical concepts are harder to unfold and lay out than mathematical results. Along the way we profited from discussions with numerous colleagues, in particular, Martin Zirnbauer and Emil Prodan, whom we wish to thank. Moreover, we thank Varghese Mathai and Guo Thiang for inviting us both to an interesting conference in Adelaide and to contribute to the proceedings. G.D.’s research is supported by the grant Iniciación en Investigación 2015— 11150143 funded by FONDECYT , and that of H.S.-B. by the DFG SCHU 1358, project number 281672735 .

Agradecimiento

The first draft of this manuscript dates back about 5 years, and it was somewhat more ambitious than the present manuscript. While this may say something about the authors, it is also due to the fact that physical concepts are harder to unfold and lay out than mathematical results. Along the way we profited from discussions with numerous colleagues, in particular, Martin Zirnbauer and Emil Prodan, whom we wish to thank. Moreover, we thank Varghese Mathai and Guo Thiang for inviting us both to an interesting conference in Adelaide and to contribute to the proceedings. G.D.'s research is supported by the grant Initiation en Investigation 2015-No 11150143 funded by FONDECYT, and that of H.S.-B. by the DFG SCHU 1358, project number 281672735.

The first draft of this manuscript dates back about 5 years, and it was somewhat more ambitious than the present manuscript. While this may say something about the authors, it is also due to the fact that physical concepts are harder to unfold and lay out than mathematical results. Along the way we profited from discussions with numerous colleagues, in particular, Martin Zirnbauer and Emil Prodan, whom we wish to thank. Moreover, we thank Varghese Mathai and Guo Thiang for inviting us both to an interesting conference in Adelaide and to contribute to the proceedings. G.D.’s research is supported by the grant Iniciación en Investigación 2015— 11150143 funded by FONDECYT , and that of H.S.-B. by the DFG SCHU 1358, project number 281672735 .