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For an electrically driven electron confined in a nanowire quantum dot with spin-orbit coupling (SOC), we find a SOC-magnetism phase-locked condition under which we derive a complete set of Schr\"odinger kitten states which contains some…

Mesoscale and Nanoscale Physics · Physics 2018-03-06 Kuo Hai , Qiong Chen , Wenhua Hai

We analyze the formation of Majorana zero-modes at the edge of a two-dimensional topological superconductor. In particular, we study a time-reversal-invariant triplet phase that is likely to exist in doped Bi$_2$Se$_3$. Upon the…

Superconductivity · Physics 2017-08-23 Vo Tien Phong , Niels R. Walet , Francisco Guinea

Based on the many-particle-number-state treatment for transport through a pair of Majorana zero modes (MZMs) which are coupled to the leads via two quantum dots, we identify that the reason for zero cross correlation of currents at…

Mesoscale and Nanoscale Physics · Physics 2023-09-26 Wei Feng , Lupei Qin , Xin-Qi Li

Chiral Majorana-fermion modes are shown to emerge as edge excitations in a superconductor--topological-insulator hybrid structure that is subject to a magnetic field. The velocity of this mode is tunable by changing the magnetic-field…

Mesoscale and Nanoscale Physics · Physics 2014-02-19 Rakesh P. Tiwari , U. Zülicke , C. Bruder

We calculate the topological boundary modes found for quantum wire for a quantum ring. For the symmetric ring we find analytical solutions for two quasi-particles identifiable as the Majorana states and for asymmetric ring, we have also…

Quantum Physics · Physics 2018-11-16 Yue Yu , Kwok Yip Szeto

We review the properties of Majorana fermions in particle physics and point out that Majorana modes in solid state systems are significantly different. The key reason is the concept of anti-particle in solid state systems is different from…

Mesoscale and Nanoscale Physics · Physics 2017-05-09 Qi Zhang , Biao Wu

The Josephson supercurrent through the hybrid Majorana--quantum dot--Majorana junction is investigated. We particularly analyze the effect of spin-selective coupling between the Majorana and quantum dot states, which emerges only in the…

Mesoscale and Nanoscale Physics · Physics 2017-07-11 Luting Xu , Xin-Qi Li , Qing-Feng Sun

Topological quantum computation using non-Abelian Majorana zero modes localized in proximitized semiconductor nanowires requires careful electrostatic control of wire-junctions so as to manipulate and braid the zero modes enabling anyonic…

Mesoscale and Nanoscale Physics · Physics 2018-01-16 Tudor D. Stanescu , Sankar Das Sarma

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

The realization and manipulation of Majorana zero modes have drawn significant attention for their crucial role in enabling topological quantum computation. Conventional approaches to the braiding of Majorana zero modes rely on adiabatic…

Quantum Physics · Physics 2026-01-28 Fei Yu , P. Z. Zhao , Jiangbin Gong

Connecting double quantum dots via a semiconductor-superconductor hybrid segment offers a platform for creating a two-site Kitaev chain that hosts a pair of "poor man's Majoranas" at a finely tuned sweet spot. However, the effective…

Mesoscale and Nanoscale Physics · Physics 2024-08-19 Chun-Xiao Liu , A. Mert Bozkurt , Francesco Zatelli , Sebastiaan L. D. ten Haaf , Tom Dvir , Michael Wimmer

We describe experimental signatures of Majorana fermion edge states, which form at the interface between a superconductor and the surface of a topological insulator. If a lead couples to the Majorana fermions through electron tunneling, the…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 K. T. Law , Patrick A. Lee , T. K. Ng

We study time-resolved charge transport in a superconducting nanowire using time-dependent Landauer-B{\"u}ttiker theory. We find that the steady-state Majorana zero-bias conductance peak emerges transiently accompanied by characteristic…

Mesoscale and Nanoscale Physics · Physics 2019-11-11 Riku Tuovinen , Enrico Perfetto , Robert van Leeuwen , Gianluca Stefanucci , Michael A. Sentef

A two-dimensional second-order topological superconductor exhibits a finite gap in both bulk and edges, with the nontrivial topology manifesting itself through Majorana zero modes localized at the corners, i.e., Majorana corner states. We…

Mesoscale and Nanoscale Physics · Physics 2018-05-29 Xiaoyu Zhu

We calculate the differential conductance at a probe inserted in the weak link of a topological Josephson junction, consisting of a semiconducting nanowire deposited on top of two separated superconductors. Our aim is to understand how the…

Mesoscale and Nanoscale Physics · Physics 2014-01-17 Stefano Valentini , Rosario Fazio , Fabio Taddei

We propose and study a setup realizing a stable manifold of non-Fermi liquid states. The device consists of a mesoscopic superconducting island hosting $N \ge 3$ Majorana bound states tunnel-coupled to normal leads, with a Josephson contact…

Mesoscale and Nanoscale Physics · Physics 2015-04-28 Erik Eriksson , Christophe Mora , Alex Zazunov , Reinhold Egger

In recent years, experimental advances have made it possible to achieve an unprecedented degree of control over the properties of subgap bound states in hybrid nanoscale superconducting structures. This research has been driven by the…

Mesoscale and Nanoscale Physics · Physics 2024-10-03 Rubén Seoane Souto , Ramón Aguado

We study the quantum dynamics of Majorana and regular fermion bound states coupled to a quasi-one-dimensional metallic lead. The dynamics following the quench in the coupling to the lead exhibits a series of dynamical revivals as the bound…

Strongly Correlated Electrons · Physics 2017-06-30 Daniel Dahan , Mostafa Tanhayi Ahari , Gerardo Ortiz , Babak Seradjeh , Eytan Grosfeld

Coupled Majorana zero modes with nonzero energies are generally detrimental to the non-Abelian statistics due to the additional dynamic phase. Nevertheless, we show that a well-connected lead can introduce a local non-Hermitian dissipation…

Mesoscale and Nanoscale Physics · Physics 2022-08-16 Hongchao Liu , Ming Lu , Yijia Wu , Jie Liu , X. C. Xie

We propose a scheme for extracting entangled charge qubits from quantum-dot chains that support zero-energy edge modes. The edge mode is composed of Majorana fermions localized at the ends of each chain. The qubit, logically encoded in…

Mesoscale and Nanoscale Physics · Physics 2015-06-15 Li Dai , Watson Kuo , Ming-Chiang Chung