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We investigate the effects of Majorana bound states on the ac response of a quantum resistor-capacitor circuit which is composed of a topological superconducting wire whose two ends are tunnel-coupled to a lead and a spinless quantum dot,…

Mesoscale and Nanoscale Physics · Physics 2020-11-10 Minchul Lee

A recent experiment [Mourik et al., Science 336, 1003 (2012)] on InSb quantum wires provides possible evidence for the realization of a topological superconducting phase and the formation of Majorana bound states. Motivated by this…

Mesoscale and Nanoscale Physics · Physics 2015-03-20 Falko Pientka , Graham Kells , Alessandro Romito , Piet W. Brouwer , Felix von Oppen

We consider a model for a one-dimensional quantum wire with Rashba spin-orbit coupling and repulsive interactions, proximity coupled to a conventional s-wave superconductor. Using a combination of Hartree-Fock and density matrix…

Mesoscale and Nanoscale Physics · Physics 2015-04-30 Arbel Haim , Anna Keselman , Erez Berg , Yuval Oreg

Understanding environmental effects in a topological Josephson junction is vital for identifying signatures of Majorana modes. We consider a planar Josephson junction formed on the surface of a three-dimensional topological insulator, which…

Mesoscale and Nanoscale Physics · Physics 2025-01-16 Hyeongseop Kim , Sang-Jun Choi , H. -S. Sim , Sunghun Park

We investigate the low-energy theory of a one-dimensional finite capacitance topological Josephson junction. Charge fluctuations across the junction couple to resonant microwave fields and can be used to probe microscopic excitations such…

Mesoscale and Nanoscale Physics · Physics 2020-03-13 Konstantin Yavilberg , Eran Ginossar , Eytan Grosfeld

A recent experiment [Nadj-Perge et al., Science 346, 602 (2014)] provides evidence for Majorana zero modes in iron (Fe) chains on the superconducting Pb(110) surface. Here, we study this system by scanning tunneling microscopy using…

Mesoscale and Nanoscale Physics · Physics 2015-11-09 Michael Ruby , Falko Pientka , Yang Peng , Felix von Oppen , Benjamin W. Heinrich , Katharina J. Franke

We show the appearance of an unconventional Majorana zero mode whose wave function splits into multiple parts located at different ends of different topological superconductors, hereinafter referred to as a multi-locational Majorana zero…

Superconductivity · Physics 2024-07-16 Yutaro Nagae , Andreas P. Schnyder , Yukio Tanaka , Yasuhiro Asano , Satoshi Ikegaya

We investigate the occurrence of Majorana modes in semiconductor quantum wires in close proximity with a superconductor and when both, Rashba interaction and magnetic field, are present. We consider long, but finite, multiband wires…

Mesoscale and Nanoscale Physics · Physics 2012-10-22 Jong Soo Lim , Llorens Serra , Rosa Lopez , Ramon Aguado

Theoretical research suggests a emergence of the Majorana bound states at the ends of the nanowires. Experimental verifications of said concept has already been executed, e.g., in superconductor/semiconductor nanowire devices where…

Mesoscale and Nanoscale Physics · Physics 2020-12-01 Aksel Kobiałka , Andrzej Ptok

Majorana fermions in a superconductor hybrid system are charge neutral zero-energy states. For the detection of this unique feature, we propose an interferometry of a chiral Majorana edge channel, formed along the interface between a…

Mesoscale and Nanoscale Physics · Physics 2015-06-16 Sunghun Park , Joel E. Moore , H. -S. Sim

The study of Majorana fermions is of great importance for the implementation of a quantum computer. These modes are topologically protected and very stable. It is now well known that a p-wave superconducting wire can sustain, in its…

Strongly Correlated Electrons · Physics 2015-07-22 Fernanda Deus , Mucio A. Continentino , Heron Caldas

We show that semiconductor nanowires coupled to an s-wave superconductor provide a playground to study effects of interactions between different topological superconducting phases supporting Majorana zero-energy modes. We consider quasi-one…

Superconductivity · Physics 2011-12-30 Roman M. Lutchyn , Matthew P. A. Fisher

Superconducting wires with broken time-reversal and spin-rotational symmetries can exhibit two distinct topological gapped phases and host bound Majorana states at the phase boundaries. When the wire is tuned to the transition between these…

Mesoscale and Nanoscale Physics · Physics 2022-11-11 Daniil S. Antonenko , Eslam Khalaf , Pavel M. Ostrovsky , Mikhail A. Skvortsov

The zero-energy bound states at the edges or vortex cores of chiral p-wave superconductors should behave like majorana fermions. We introduce a model Hamiltonian that describes the tunnelling process when electrons are injected into such…

Superconductivity · Physics 2007-06-17 C. J. Bolech , Eugene Demler

We study the topological phase diagram of a setup composed of two nanowires with strong Rashba spin-orbit interaction subjected to an external magnetic field and brought into the proximity to a bulk $s$-wave superconductor in the presence…

Mesoscale and Nanoscale Physics · Physics 2019-06-26 Olesia Dmytruk , Manisha Thakurathi , Daniel Loss , Jelena Klinovaja

We theoretically study transport properties of nanowires with the Dresselhaus [110] spin-orbit coupling under the in-plane Zeeman potential and the proximity-induced s-wave pair potential. In the topologically nontrivial phase, the nanowire…

Superconductivity · Physics 2014-10-15 Satoshi Ikegaya , Yasuhiro Asano , Yukio Tanaka

A topological superconducting wire with an effective time reversal symmetry is known to have a $\mathbb{Z}_8$ topological classification in the presence of interactions. The topological index $|n| \le 4$ counts the number of Majorana end…

Mesoscale and Nanoscale Physics · Physics 2016-04-27 Dganit Meidan , Alessandro Romito , Piet W. Brouwer

One-dimensional topological phases can host localized zero-energy modes that enable high-fidelity storage and manipulation of quantum information. Majorana fermion chains support a classic example of such a phase, having zero modes that…

Strongly Correlated Electrons · Physics 2014-10-15 Adam S. Jermyn , Roger S. K. Mong , Jason Alicea , Paul Fendley

Considering s-wave pairing in an electron-hole double layer of two chiral metals, we study the Josephson effect generated by a domain wall. The latter, which is caused by a jump of the order parameter phase, creates two independent…

Superconductivity · Physics 2022-12-22 Klaus Ziegler

Majorana bound states are zero-energy states predicted to emerge in topological superconductors and intense efforts seeking a definitive proof of their observation are still ongoing. A standard route to realize them involves antagonistic…

Strongly Correlated Electrons · Physics 2021-12-14 Sebastián A. Díaz , Jelena Klinovaja , Daniel Loss , Silas Hoffman