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Topological superconductors support Majorana modes, which are quasiparticles that are their own antiparticles and which obey non-Abelian statistics in which successive exchanges of particles do not always commute. Here we investigate…

Superconductivity · Physics 2024-03-29 Jonathan Schirmer , J. K. Jain , C. -X. Liu

We study the coupling between a singlet-triplet qubit realized in a double quantum dot to a topological qubit realized by spatially well-separated Majorana bound states. We demonstrate that the singlet-triplet qubit can be leveraged for…

Mesoscale and Nanoscale Physics · Physics 2019-04-24 Marko J. Rančić , Silas Hoffman , Constantin Schrade , Jelena Klinovaja , Daniel Loss

Chains of magnetic atoms with either strong spin-orbit coupling or spiral magnetic order which are proximity-coupled to superconducting substrates can host topologically non-trivial Majorana bound states. The experimental signature of these…

Under an appropriate symmetric bulk bipartition in a one-dimensional symmetry protected topological phase with the Affleck-Kennedy-Lieb-Tasaki matrix product state wave function for the odd integer spin chains, a bulk critical entanglement…

Strongly Correlated Electrons · Physics 2018-10-31 Zi-Qi Wang , Guo-Yi Zhu , Guang-Ming Zhang

Epitaxial semiconductor nanowires with charge carrier holes can exhibit an infinite mass of holes and spin-locking due to chiral spectrum linear in momentum and spin. The criterion for emergence of topological superconductivity and Majorana…

Mesoscale and Nanoscale Physics · Physics 2019-04-15 G. E. Simion , Y. B. Lyanda-Geller

Semiconducting quantum wires defined within two-dimensional electron gases and strongly coupled to thin superconducting layers have been extensively explored in recent experiments as promising platforms to host Majorana bound states. We…

Mesoscale and Nanoscale Physics · Physics 2018-04-20 Christopher Reeg , Daniel Loss , Jelena Klinovaja

We study superconducting-normal-superconducting (SNS) Josephson junctions in one-dimensional topological superconductors which support more than one Majorana end mode. The variation of the energy spectrum with the superconducting phase is…

Mesoscale and Nanoscale Physics · Physics 2013-03-12 Doru Sticlet , Cristina Bena , Pascal Simon

Superconductor proximitized one-dimensional semiconductor nanowires with strong spin-orbit interaction (SOI) are at this time the most promising candidates for the realization of topological quantum information processing. In current…

Mesoscale and Nanoscale Physics · Physics 2016-08-16 Georg W. Winkler , QuanSheng Wu , Matthias Troyer , Peter Krogstrup , Alexey A. Soluyanov

We develop a Gaussian variational approach in replica space to investigate the phase diagram of a one-dimensional interacting disordered topological superconducting wire in the strong coupling regime. This method allows for a…

Mesoscale and Nanoscale Physics · Physics 2016-11-25 Francois Crépin , Gergely Zaránd , Pascal Simon

We study the equilibrium dc Josephson current in a junction between an $s$-wave and a topological superconductor. Cooper pairs from the $s$-wave superconducting lead can transfer to the topological side either via an unpaired Majorana zero…

Mesoscale and Nanoscale Physics · Physics 2021-02-09 Chun-Xiao Liu , Bernard van Heck , Michael Wimmer

We calculate the conductance of a ballistic point contact to a superconducting wire, produced by the s-wave proximity effect in a semiconductor with spin-orbit coupling in a parallel magnetic field. The conductance G as a function of…

Mesoscale and Nanoscale Physics · Physics 2015-03-18 M. Wimmer , A. R. Akhmerov , J. P. Dahlhaus , C. W. J. Beenakker

We present a time-reversal invariant s-wave superconductor supporting Majorana edge modes. The multi-band character of the model together with spin-orbit coupling are key to realizing such a topological superconductor. We characterize the…

Superconductivity · Physics 2015-05-30 Shusa Deng , Lorenza Viola , Gerardo Ortiz

We study quantum entanglement in a system comprising two quantum dots interconnected through the short topological superconducting nanowire, which hosts overlapping boundary Majorana modes. Inspecting the fermionic negativity, we analyze…

Quantum Physics · Physics 2026-03-05 C. Jasiukiewicz , A. Sinner , I. Weymann , T. Domański , L. Chotorlishvili

Heavy metals, such as Au, Ag, and Pb, often have sharp surface states that are split by strong Rashba spin-orbit coupling. The strong spin-orbit coupling and two-dimensional nature of these surface states make them ideal platforms for…

Mesoscale and Nanoscale Physics · Physics 2012-06-13 Andrew C. Potter , Patrick A. Lee

We introduce a class of superconductors termed "quantized quadrupole superconductors" that support Majorana corner modes according to the bulk-corner correspondence, distinct from previous works on the second-order topological…

Superconductivity · Physics 2025-12-24 Yun-Mei Li , Yongwei Huang , Kai Chang

We study multiband semiconducting nanowires proximity-coupled with an s-wave superconductor and calculate the topological phase diagram as a function of the chemical potential and magnetic field. The non-trivial topological state…

Superconductivity · Physics 2015-03-19 Tudor Stanescu , Roman M. Lutchyn , S. Das Sarma

In this work we show that Rashba-based topological superconductor nanowires, where the spin-orbit coupling may change its sign, support three topological phases protected by chiral symmetry. When a superconducting phase gradient is applied…

Mesoscale and Nanoscale Physics · Physics 2015-06-11 Teemu Ojanen

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

Quantum criticality is the intriguing possibility offered by the laws of quantum mechanics when the wave function of a many-particle physical system is forced to evolve continuously between two distinct, competing ground states. This…

Mesoscale and Nanoscale Physics · Physics 2008-09-18 Nicolas Roch , Serge Florens , Vincent Bouchiat , Wolfgang Wernsdorfer , Franck Balestro

Motivated by the spin-momentum locking of electrons at the boundaries of topological insulators, we study a one-dimensional system of spin-orbit coupled massless Dirac electrons with $s$-wave superconducting pairing. As a result of the…

Mesoscale and Nanoscale Physics · Physics 2021-02-18 Adithi Udupa , Abhishek Banerjee , K. Sengupta , Diptiman Sen
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