Topological supercurrents interaction and fluctuations in the multiterminal Josephson effect
Abstract
We study the Josephson effect in the multiterminal junction of topological superconductors. We use the symmetry-constrained scattering matrix approach to derive band dispersions of emergent subgap Andreev bound states in a multidimensional parameter space of superconducting phase differences. We find distinct topologically protected band crossings that serve as monopoles of finite Berry curvature. Particularly, in a four-terminal junction the admixture of 2π and 4π periodic levels leads to the appearance of finite-energy Majorana-Weyl nodes. This topological regime in the junction can be characterized by a quantized nonlocal conductance that measures the Chern number of the corresponding bands. In addition, we calculate current-phase relations, variance, and cross correlations of topological supercurrents in multiterminal contacts and discuss the universality of these transport characteristics. At the technical level these results are obtained by integrating over the group of a circular ensemble that describes the scattering matrix of the junction. Furthermore, we briefly discuss our results in the context of observed fluctuations of the gate dependence of the critical current in topological planar Josephson junctions and comment on the possibility of parity measurements from the switching current distributions in multiterminal Majorana junctions.
- Authors:
-
- Univ. of Wisconsin, Madison, WI (United States); Univ. of the Chinese Academy of Sciences, Beijing (China)
- Univ. of Wisconsin, Madison, WI (United States)
- Publication Date:
- Research Org.:
- Michigan State Univ., East Lansing, MI (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Basic Energy Sciences (BES)
- OSTI Identifier:
- 1612770
- Grant/Contract Number:
- SC0017888
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review. B
- Additional Journal Information:
- Journal Volume: 99; Journal Issue: 9; Journal ID: ISSN 2469-9950
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; Materials Science; Physics; Josephson effect; Topological superconductors; Quantum dots; S-matrix method in transport
Citation Formats
Xie, Hong-Yi, and Levchenko, Alex. Topological supercurrents interaction and fluctuations in the multiterminal Josephson effect. United States: N. p., 2019.
Web. doi:10.1103/physrevb.99.094519.
Xie, Hong-Yi, & Levchenko, Alex. Topological supercurrents interaction and fluctuations in the multiterminal Josephson effect. United States. https://doi.org/10.1103/physrevb.99.094519
Xie, Hong-Yi, and Levchenko, Alex. Tue .
"Topological supercurrents interaction and fluctuations in the multiterminal Josephson effect". United States. https://doi.org/10.1103/physrevb.99.094519. https://www.osti.gov/servlets/purl/1612770.
@article{osti_1612770,
title = {Topological supercurrents interaction and fluctuations in the multiterminal Josephson effect},
author = {Xie, Hong-Yi and Levchenko, Alex},
abstractNote = {We study the Josephson effect in the multiterminal junction of topological superconductors. We use the symmetry-constrained scattering matrix approach to derive band dispersions of emergent subgap Andreev bound states in a multidimensional parameter space of superconducting phase differences. We find distinct topologically protected band crossings that serve as monopoles of finite Berry curvature. Particularly, in a four-terminal junction the admixture of 2π and 4π periodic levels leads to the appearance of finite-energy Majorana-Weyl nodes. This topological regime in the junction can be characterized by a quantized nonlocal conductance that measures the Chern number of the corresponding bands. In addition, we calculate current-phase relations, variance, and cross correlations of topological supercurrents in multiterminal contacts and discuss the universality of these transport characteristics. At the technical level these results are obtained by integrating over the group of a circular ensemble that describes the scattering matrix of the junction. Furthermore, we briefly discuss our results in the context of observed fluctuations of the gate dependence of the critical current in topological planar Josephson junctions and comment on the possibility of parity measurements from the switching current distributions in multiterminal Majorana junctions.},
doi = {10.1103/physrevb.99.094519},
journal = {Physical Review. B},
number = 9,
volume = 99,
place = {United States},
year = {Tue Mar 26 00:00:00 EDT 2019},
month = {Tue Mar 26 00:00:00 EDT 2019}
}
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Works referencing / citing this record:
Topological phase diagram of a three-terminal Josephson junction: From the conventional to the Majorana regime
journal, July 2019
- Peralta Gavensky, Lucila; Usaj, Gonzalo; Balseiro, C. A.
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Topological phase diagram of a three-terminal Josephson junction: From the conventional to the Majorana regime
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