Dimensional tuning of Majorana fermions and real space counting of the Chern number
Abstract
We demonstrate that it is possible to use atomic manipulation techniques to adiabatically tune between one-dimensional and two-dimensional topological superconductors in magnet-superconductor hybrid (MSH) structures. This allows one to change the nature of the associated Majorana fermions between localized bound states and chiral Majorana edge modes, and provides a new approach for counting the topological invariant of the system – the Chern number – in real space. Moreover, we show that the topological nature of finite-size MSH structures can be characterized using the Chern number density which adiabatically connects MSH structures to macroscopic, translationally invariant topological superconductors characterized by an integer Chern number. These results open new possibilities for studying the nature of topological superconductivity in MSH structures using atomic manipulation techniques.
- Publication Date:
- Research Org.:
- Univ. of Illinois, Chicago, IL (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Basic Energy Sciences (BES)
- OSTI Identifier:
- 1618264
- Grant/Contract Number:
- FG02-05ER46225
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review B
- Additional Journal Information:
- Journal Volume: 100; Journal Issue: 18; Journal ID: ISSN 2469-9950
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 36 MATERIALS SCIENCE; 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY
Citation Formats
Mascot, Eric, Cocklin, Sagen, Rachel, Stephan, and Morr, Dirk K. Dimensional tuning of Majorana fermions and real space counting of the Chern number. United States: N. p., 2019.
Web. doi:10.1103/PhysRevB.100.184510.
Mascot, Eric, Cocklin, Sagen, Rachel, Stephan, & Morr, Dirk K. Dimensional tuning of Majorana fermions and real space counting of the Chern number. United States. https://doi.org/10.1103/PhysRevB.100.184510
Mascot, Eric, Cocklin, Sagen, Rachel, Stephan, and Morr, Dirk K. Thu .
"Dimensional tuning of Majorana fermions and real space counting of the Chern number". United States. https://doi.org/10.1103/PhysRevB.100.184510. https://www.osti.gov/servlets/purl/1618264.
@article{osti_1618264,
title = {Dimensional tuning of Majorana fermions and real space counting of the Chern number},
author = {Mascot, Eric and Cocklin, Sagen and Rachel, Stephan and Morr, Dirk K.},
abstractNote = {We demonstrate that it is possible to use atomic manipulation techniques to adiabatically tune between one-dimensional and two-dimensional topological superconductors in magnet-superconductor hybrid (MSH) structures. This allows one to change the nature of the associated Majorana fermions between localized bound states and chiral Majorana edge modes, and provides a new approach for counting the topological invariant of the system – the Chern number – in real space. Moreover, we show that the topological nature of finite-size MSH structures can be characterized using the Chern number density which adiabatically connects MSH structures to macroscopic, translationally invariant topological superconductors characterized by an integer Chern number. These results open new possibilities for studying the nature of topological superconductivity in MSH structures using atomic manipulation techniques.},
doi = {10.1103/PhysRevB.100.184510},
journal = {Physical Review B},
number = 18,
volume = 100,
place = {United States},
year = {Thu Nov 21 00:00:00 EST 2019},
month = {Thu Nov 21 00:00:00 EST 2019}
}
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