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Dimensional tuning of Majorana fermions and real space counting of the Chern number

Journal Article · · Physical Review B
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.
Research Organization:
Univ. of Illinois, Chicago, IL (United States)
Sponsoring Organization:
ARC Future Fellowship; USDOE Office of Science (SC), Basic Energy Sciences (BES)
Grant/Contract Number:
FG02-05ER46225
OSTI ID:
1618264
Alternate ID(s):
OSTI ID: 2905014
Journal Information:
Physical Review B, Journal Name: Physical Review B Journal Issue: 18 Vol. 100; ISSN 2469-9950; ISSN PRBMDO
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English

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