Cargando…
A zero-dimensional topologically nontrivial state in a superconducting quantum dot
The classification of topological states of matter in terms of unitary symmetries and dimensionality predicts the existence of nontrivial topological states even in zero-dimensional systems, i.e., systems with a discrete energy spectrum. Here, we show that a quantum dot coupled with two superconduct...
Autores principales: | , , |
---|---|
Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
Beilstein-Institut
2018
|
Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6009423/ https://www.ncbi.nlm.nih.gov/pubmed/29977704 http://dx.doi.org/10.3762/bjnano.9.162 |
_version_ | 1783333381185994752 |
---|---|
author | Marra, Pasquale Braggio, Alessandro Citro, Roberta |
author_facet | Marra, Pasquale Braggio, Alessandro Citro, Roberta |
author_sort | Marra, Pasquale |
collection | PubMed |
description | The classification of topological states of matter in terms of unitary symmetries and dimensionality predicts the existence of nontrivial topological states even in zero-dimensional systems, i.e., systems with a discrete energy spectrum. Here, we show that a quantum dot coupled with two superconducting leads can realize a nontrivial zero-dimensional topological superconductor with broken time-reversal symmetry, which corresponds to the finite size limit of the one-dimensional topological superconductor. Topological phase transitions corresponds to a change of the fermion parity, and to the presence of zero-energy modes and discontinuities in the current–phase relation at zero temperature. These fermion parity transitions therefore can be revealed by the current discontinuities or by a measure of the critical current at low temperatures. |
format | Online Article Text |
id | pubmed-6009423 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2018 |
publisher | Beilstein-Institut |
record_format | MEDLINE/PubMed |
spelling | pubmed-60094232018-07-05 A zero-dimensional topologically nontrivial state in a superconducting quantum dot Marra, Pasquale Braggio, Alessandro Citro, Roberta Beilstein J Nanotechnol Full Research Paper The classification of topological states of matter in terms of unitary symmetries and dimensionality predicts the existence of nontrivial topological states even in zero-dimensional systems, i.e., systems with a discrete energy spectrum. Here, we show that a quantum dot coupled with two superconducting leads can realize a nontrivial zero-dimensional topological superconductor with broken time-reversal symmetry, which corresponds to the finite size limit of the one-dimensional topological superconductor. Topological phase transitions corresponds to a change of the fermion parity, and to the presence of zero-energy modes and discontinuities in the current–phase relation at zero temperature. These fermion parity transitions therefore can be revealed by the current discontinuities or by a measure of the critical current at low temperatures. Beilstein-Institut 2018-06-08 /pmc/articles/PMC6009423/ /pubmed/29977704 http://dx.doi.org/10.3762/bjnano.9.162 Text en Copyright © 2018, Marra et al. https://creativecommons.org/licenses/by/4.0https://www.beilstein-journals.org/bjnano/termsThis is an Open Access article under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. The license is subject to the Beilstein Journal of Nanotechnology terms and conditions: (https://www.beilstein-journals.org/bjnano/terms) |
spellingShingle | Full Research Paper Marra, Pasquale Braggio, Alessandro Citro, Roberta A zero-dimensional topologically nontrivial state in a superconducting quantum dot |
title | A zero-dimensional topologically nontrivial state in a superconducting quantum dot |
title_full | A zero-dimensional topologically nontrivial state in a superconducting quantum dot |
title_fullStr | A zero-dimensional topologically nontrivial state in a superconducting quantum dot |
title_full_unstemmed | A zero-dimensional topologically nontrivial state in a superconducting quantum dot |
title_short | A zero-dimensional topologically nontrivial state in a superconducting quantum dot |
title_sort | zero-dimensional topologically nontrivial state in a superconducting quantum dot |
topic | Full Research Paper |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6009423/ https://www.ncbi.nlm.nih.gov/pubmed/29977704 http://dx.doi.org/10.3762/bjnano.9.162 |
work_keys_str_mv | AT marrapasquale azerodimensionaltopologicallynontrivialstateinasuperconductingquantumdot AT braggioalessandro azerodimensionaltopologicallynontrivialstateinasuperconductingquantumdot AT citroroberta azerodimensionaltopologicallynontrivialstateinasuperconductingquantumdot AT marrapasquale zerodimensionaltopologicallynontrivialstateinasuperconductingquantumdot AT braggioalessandro zerodimensionaltopologicallynontrivialstateinasuperconductingquantumdot AT citroroberta zerodimensionaltopologicallynontrivialstateinasuperconductingquantumdot |