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Title: 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:
 [1];  [2];  [3]
  1. 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
  2. Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States). Dept. of Physics
  3. 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}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record

Citation Metrics:
Cited by: 11 works
Citation information provided by
Web of Science

Figures / Tables:

FIG. 1 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 » Ω2, we identify a trivial phase (Ω2 = 0), a topological phase with a certain chirality (Ω2 = +1) that gets enlarged, and a topological phase with opposite chirality (Ω2 = −1) that gets suppressed for very strong long-range decay.« less

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    Figures/Tables have been extracted from DOE-funded journal article accepted manuscripts.