Chiral Topological Superconductors Enhanced by Long-Range Interactions
Abstract
We study the phase diagram and edge states of a two-dimensional p-wave superconductor with long-range hopping and pairing amplitudes. New topological phases and quasiparticles different from the usual short-range model are obtained. When both hopping and pairing terms decay with the same exponent, one of the topological chiral phases with propagating Majorana edge states gets significantly enhanced by long-range couplings. On the other hand, when the long-range pairing amplitude decays more slowly than the hopping, we discover new topological phases where propagating Majorana fermions at each edge pair nonlocally and become gapped even in the thermodynamic limit. Remarkably, these nonlocal edge states are still robust, remain separated from the bulk, and are localized at both edges at the same time. The inclusion of long-range effects is potentially applicable to recent experiments with magnetic impurities and islands in 2D superconductors.
- Authors:
-
- Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States). Dept. of Physics; Univ. Complutense, Madrid (Spain); Harvard Univ., Cambridge, MA (United States). Dept. of Physics
- Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States). Dept. of Physics
- Univ. Complutense, Madrid (Spain)
- Publication Date:
- Research Org.:
- Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
- Sponsoring Org.:
- USDOE; Ministry of Economy and Competitiveness (MINECO) Spain; U.S. Army Research Office (ARO)
- OSTI Identifier:
- 1505748
- Alternate Identifier(s):
- OSTI ID: 1415881
- Grant/Contract Number:
- SC0010526; W911N F-14-1-0103; FIS2012-33152
- Resource Type:
- Journal Article: Accepted Manuscript
- Journal Name:
- Physical Review Letters
- Additional Journal Information:
- Journal Volume: 120; Journal Issue: 1; Journal ID: ISSN 0031-9007
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; 36 MATERIALS SCIENCE
Citation Formats
Viyuela, Oscar, Fu, Liang, and Martin-Delgado, Miguel Angel. Chiral Topological Superconductors Enhanced by Long-Range Interactions. United States: N. p., 2018.
Web. doi:10.1103/physrevlett.120.017001.
Viyuela, Oscar, Fu, Liang, & Martin-Delgado, Miguel Angel. Chiral Topological Superconductors Enhanced by Long-Range Interactions. United States. doi:10.1103/physrevlett.120.017001.
Viyuela, Oscar, Fu, Liang, and Martin-Delgado, Miguel Angel. Fri .
"Chiral Topological Superconductors Enhanced by Long-Range Interactions". United States. doi:10.1103/physrevlett.120.017001. https://www.osti.gov/servlets/purl/1505748.
@article{osti_1505748,
title = {Chiral Topological Superconductors Enhanced by Long-Range Interactions},
author = {Viyuela, Oscar and Fu, Liang and Martin-Delgado, Miguel Angel},
abstractNote = {We study the phase diagram and edge states of a two-dimensional p-wave superconductor with long-range hopping and pairing amplitudes. New topological phases and quasiparticles different from the usual short-range model are obtained. When both hopping and pairing terms decay with the same exponent, one of the topological chiral phases with propagating Majorana edge states gets significantly enhanced by long-range couplings. On the other hand, when the long-range pairing amplitude decays more slowly than the hopping, we discover new topological phases where propagating Majorana fermions at each edge pair nonlocally and become gapped even in the thermodynamic limit. Remarkably, these nonlocal edge states are still robust, remain separated from the bulk, and are localized at both edges at the same time. The inclusion of long-range effects is potentially applicable to recent experiments with magnetic impurities and islands in 2D superconductors.},
doi = {10.1103/physrevlett.120.017001},
journal = {Physical Review Letters},
issn = {0031-9007},
number = 1,
volume = 120,
place = {United States},
year = {2018},
month = {1}
}
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Figures / Tables:
FIG. 1: Topological phase diagram for the case of equal long-range decay α = β, as function of the chemical potential μ and the inverse of the decaying exponent β. At 1/β → 0, we recover the phase diagram for the short-range p-wave topological superconductor. Using the topological winding numbermore »
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Figures/Tables have been extracted from DOE-funded journal article accepted manuscripts.