Detection of second-order topological superconductors by Josephson junctions

Abstract In this paper, we examine reduced order hybrid function projective combination synchronization of three chaotic systems consisting of: (i) two third chaotic Josephson junctions as drives and one second order chaotic Josephson junction as response system; (ii) one third order chaotic Josephson junction as the drive and two second order chaotic Josephson junctions as the slaves using active backstepping technique. The analytic results confirm the realization of reduced order hybrid function projective combination synchronization using active backstepping technique. Numerical simulations are performed to validate the analytical results.

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Orbital tunable 0−π transitions in Josephson junctions with noncentrosymmetric topological superconductors

Physical Review B ◽

10.1103/physrevb.102.144512 ◽

2020 ◽

Vol 102 (14) ◽

Cited By ~ 1

Author(s):

Yuri Fukaya ◽

Keiji Yada ◽

Yukio Tanaka ◽

Paola Gentile ◽

Mario Cuoco

Keyword(s):

Josephson Junctions ◽

Topological Superconductors

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Second-Order Topological Superconductors with Mixed Pairing

Physical Review Letters ◽

10.1103/physrevlett.122.236401 ◽

2019 ◽

Vol 122 (23) ◽

Cited By ~ 18

Author(s):

Xiaoyu Zhu

Keyword(s):

Second Order ◽

Topological Superconductors

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Topological Josephson heat engine

Communications Physics ◽

10.1038/s42005-020-00463-6 ◽

2020 ◽

Vol 3 (1) ◽

Cited By ~ 1

Author(s):

Benedikt Scharf ◽

Alessandro Braggio ◽

Elia Strambini ◽

Francesco Giazotto ◽

Ewelina M. Hankiewicz

Keyword(s):

Josephson Junctions ◽

Characteristic Property ◽

Fault Tolerant ◽

Heat Engine ◽

Thermodynamic Cycle ◽

Stirling Cycle ◽

Topological Superconductors ◽

Complementary Approach ◽

Potential Applications ◽

Fundamental Research

Abstract Topological superconductors represent a fruitful playing ground for fundamental research as well as for potential applications in fault-tolerant quantum computing. Especially Josephson junctions based on topological superconductors remain intensely studied, both theoretically and experimentally. The characteristic property of these junctions is their 4π-periodic ground-state fermion parity in the superconducting phase difference. Using such topological Josephson junctions, we introduce the concept of a topological Josephson heat engine. We discuss how this engine can be implemented as a Josephson–Stirling cycle in topological superconductors, thereby illustrating the potential of the intriguing and fruitful marriage between topology and coherent thermodynamics. It is shown that the Josephson–Stirling cycle constitutes a highly versatile thermodynamic machine with different modes of operation controlled by the cycle temperatures. Finally, the thermodynamic cycle reflects the hallmark 4π-periodicity of topological Josephson junctions and could therefore be envisioned as a complementary approach to test topological superconductivity.

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Spectral response of Josephson junctions with low-energy quasiparticles

SciPost Physics ◽

10.21468/scipostphys.7.4.050 ◽

2019 ◽

Vol 7 (4) ◽

Cited By ~ 5

Author(s):

Anna Keselman ◽

Chaitanya Murthy ◽

Bernard van Heck ◽

Bela Bauer

Keyword(s):

Josephson Junctions ◽

Spectral Response ◽

Low Energy ◽

Superconducting Qubits ◽

Experimental Investigations ◽

Matrix Product ◽

Perturbative Approach ◽

Topological Superconductors ◽

Matrix Product State ◽

Conventional Models

We study nanowire-based Josephson junctions shunted by a capacitor and take into account the presence of low-energy quasiparticle excitations. These are treated by extending conventional models used to describe superconducting qubits to include the coherent coupling between fermionic quasiparticles, in particular the Majorana zero modes that emerge in topological superconductors, and the plasma mode of the junction. Using accurate, unbiased matrix-product state techniques, we compute the energy spectrum and response function of the system across the topological phase transition. Furthermore, we develop a perturbative approach, valid in the harmonic limit with small charging energy, illustrating how the presence of low-energy quasiparticles affects the spectrum and response of the junction. Our results are of direct interest to on-going experimental investigations of nanowire-based superconducting qubits.

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