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Topological superconductors, whose edge hosts Majorana bound states or Majorana fermions that obey non-Abelian statistics, can be used for low-decoherence quantum computations. Most of the proposed topological superconductors are realized…

Topological superconductors are an intriguing and elusive quantum phase, characterized by topologically protected gapless surface/edge states residing in a bulk superconducting gap, which hosts Majorana fermions. Unfortunately, all…

超导电性 · 物理学 2019-05-10 Kyung-Hwan Jin , Huaqing Huang , Jia-Wei Mei , Zheng Liu , Lih-King Lim , Feng Liu

Unambiguous identification of Majorana physics presents an outstanding problem whose solution could render topological quantum computing feasible. We develop a numerical approach to treat finite-size superconducting chains supporting…

介观与纳米尺度物理 · 物理学 2015-06-16 Richard Korytár , Peter Schmitteckert

Magnetic chains on superconductors hosting Majorna Zero Modes (MZMs) attracted high interest due to their possible applications in fault-tolerant quantum computing. However, this is hindered by the lack of a detailed, quantitative…

We find a new class of topological superconductors which possess an emergent time-reversal symmetry that is present only after projecting to an effective low-dimensional model. We show that a topological phase in symmetry class DIII can be…

介观与纳米尺度物理 · 物理学 2017-11-01 Christopher Reeg , Constantin Schrade , Jelena Klinovaja , Daniel Loss

Semiconductors in the proximity of superconductors have been proposed to support phases hosting Majorana bound states. When the systems undergo a topological phase transition towards the Majorana phase, the spectral gap closes, then…

介观与纳米尺度物理 · 物理学 2020-08-25 Doru Sticlet , Cătălin Paşcu Moca , Balázs Dóra

To pinpoint the microscopic mechanism for superconductivity has proven to be one of the most outstanding challenges in the physics of correlated quantum matter. Thus far, the most direct evidence for an electronic pairing mechanism is the…

超导电性 · 物理学 2015-01-29 Mathias S. Scheurer , Jörg Schmalian

A semiconducting nanowire with strong Rashba spin-orbit coupling and coupled to a superconductor can be tuned by an external Zeeman field into a topological phase with Majorana zero modes. Here we theoretically investigate how this exotic…

介观与纳米尺度物理 · 物理学 2017-11-23 Jorge Cayao , Pablo San-Jose , Annica Black-Schaffer , Ramón Aguado , Elsa Prada

We study the topological properties of superconductors with paired $j=\frac{3}{2}$ quasiparticles. Higher spin Fermi surfaces can arise, for instance, in strongly spin-orbit coupled band-inverted semimetals. Examples include the Bi-based…

超导电性 · 物理学 2018-03-07 Jörn W. F. Venderbos , Lucile Savary , Jonathan Ruhman , Patrick A. Lee , Liang Fu

We study a chain of ferromagnetic nano-particles or ferromagnetic molecule/atoms on a substrate of fully gapped superconductors. We find that under quite realistic conditions, the fermion-number-parity symmetry $Z_2^f$ can spontaneously…

强关联电子 · 物理学 2015-10-28 Joel Klassen , Xiao-Gang Wen

In this paper we find that confining a second-order topological superconductor with a harmonic potential leads to a proliferation of Majorana corner modes. As a consequence, this results in the formation of Majorana corner flat bands which…

超导电性 · 物理学 2020-03-05 Majid Kheirkhah , Yuki Nagai , Chun Chen , Frank Marsiglio

Recent studies propose Majorana polarization (MP) as a tool for identifying topological Majorana bound states (MBS). We analyze MP in two systems: a one-dimensional (1d) semiconducting nanowire and a quasi-1d system, both with Rashba…

介观与纳米尺度物理 · 物理学 2025-05-07 Shubhanshu Karoliya , Sumanta Tewari , Gargee Sharma

We study topological phase transitions in one dimensional (1-D) Rashba nanowire under a spatially varying Zeeman field when coupled to an $s$-wave superconductor substrate. We show that this system supports both Majorana bound states (MBS)…

介观与纳米尺度物理 · 物理学 2014-09-23 Xiaoyu Zhu , Wei Chen , R. Shen , D. Y. Xing

It is shown that Majorana fermions trapped in three vortices in a p-wave superfluid form a qubit in a topological quantum computing (TQC). Several similar ideas have already been proposed: Ivanov [Phys. Rev. Lett. {\bf 86}, 268 (2001)] and…

量子物理 · 物理学 2015-05-13 Tetsuo Ohmi , Mikio Nakahara

Landau levels (LL) have been predicted to emerge in systems with Dirac nodal points under applied non-uniform strain. We consider 2D, $d_{xy}$ singlet (2D-S) and 3D $p \pm i p$ equal-spin triplet (3D-T) superconductors (SCs). We demonstrate…

超导电性 · 物理学 2019-11-20 Emilian M. Nica , Onur Erten

In this article, we study non-analyticities or cusps near a topological phase transition driven by changes of global topologies rather than by the formation of conventional (local) order. The particular phase transitions between…

强关联电子 · 物理学 2019-08-14 Fan Yang , Shao-Jian Jiang , Fei Zhou

Majorana fermions, quantum particles that are their own anti-particles, are not only of fundamental importance in elementary particle physics and dark matter, but also building blocks for fault-tolerant quantum computation. Recently…

量子气体 · 物理学 2013-11-06 Chunlei Qu , Zhen Zheng , Ming Gong , Yong Xu , Li Mao , Xubo Zou , Guangcan Guo , Chuanwei Zhang

We study the formation of Majorana states in quasi-1D and 2D square lattices with open boundary conditions, with general anisotropic Rashba coupling, in the presence of an applied Zeeman field and in the proximity of a superconductor. For…

介观与纳米尺度物理 · 物理学 2016-04-27 N. Sedlmayr , J. M. Aguiar-Hualde , C. Bena

We show that Majorana fermions (MFs) exist in two- and three-dimensional (2D,3D) fermionic optical lattices with strictly 1D spin-orbit coupling (SOC) which has already been realized in ex- periments. For a quasi-1D topological BCS…

量子气体 · 物理学 2015-08-18 Chunlei Qu , Ming Gong , Yong Xu , Sumanta Tewari , Chuanwei Zhang

Time-quasiperiodic Majoranas are generalizations of Floquet Majoranas in time-quasiperiodic superconducting systems. We show that in a system driven at $d$ mutually irrational frequencies, there are up to $2^d$ types of such Majoranas,…

介观与纳米尺度物理 · 物理学 2019-01-09 Yang Peng , Gil Refael