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Majorana modes are zero-energy excitations of a topological superconductor that exhibit non-Abelian statistics. Following proposals for their detection in a semiconductor nanowire coupled to an s-wave superconductor, several tunneling…

We study free fermionic models that host Majorana zero modes using the Majorana orthogonal transformation, which is a type of transformation between different fermionic models under Majorana representation of complex fermions. Using…

强关联电子 · 物理学 2021-09-08 Jianlong Fu

We study the magnetic susceptibility of a two-dimensional cone of Majorana modes localised at the surface of a three-dimensional time-reversal invariant topological superconductor belonging to class DIII. A field parallel to the surface…

超导电性 · 物理学 2019-01-09 Luca Chirolli , Francisco Guinea

We study signatures of Majorana zero modes (MZMs) bound to Josephson vortices in superconductor-three-dimensional topological insulator-superconductor (S-TI-S) Josephson junctions placed in a perpendicular magnetic field. First, using…

介观与纳米尺度物理 · 物理学 2025-06-27 Katharina Laubscher , Jay D. Sau

Majorana zero modes have gained significant interest due to their potential applications in topological quantum computing and in the realization of exotic quantum phases. These zero-energy quasiparticle excitations localize at the vortex…

介观与纳米尺度物理 · 物理学 2024-08-13 Pasquale Marra , Daisuke Inotani , Takeshi Mizushima , Muneto Nitta

We theoretically study gate-defined one-dimensional channels in planar Ge hole gases as a potential platform for non-Abelian Majorana zero modes. We model the valence band holes in the Ge channel by adding appropriate confinement potentials…

介观与纳米尺度物理 · 物理学 2024-02-06 Katharina Laubscher , Jay D. Sau , Sankar Das Sarma

Theoretical studies have shown that Majorana bound states can be induced at the ends of a one dimensional wire, a phenomenon possible due to the interplay between s-wave superconductivity, spin-orbit coupling, and an external magnetic…

介观与纳米尺度物理 · 物理学 2021-03-09 Aksel Kobiałka , Nicholas Sedlmayr , Andrzej Ptok

The helical state is a fundamental prerequisite for many spintronics applications and Majorana zero mode engineering in nanoscopic semiconductors. Its existence in quasi-one-dimensional nanowires was predicted to be detectable as a…

介观与纳米尺度物理 · 物理学 2021-09-15 P. Wójcik , D. Sticlet , P. Szumniak , M. P. Nowak

Majorana modes offer great potential for fault-tolerant quantum computation due to their topological protection. However, for superconductor-semiconductor nanowire hybrids, intrinsic disorder makes the unambiguous detection of Majorana…

Spin-orbit coupled semiconductor nanowires with Zeeman splitting in proximity contact with bulk $s$-wave superconductivity have recently been proposed as a promising platform for realizing Majorana fermions. However, in this setup the…

超导电性 · 物理学 2013-02-21 Ming Gong , Li Mao , Sumanta Tewari , Chuanwei Zhang

One-dimensional systems comprising s-wave superconductivity with meticulously tuned magnetism and spin-orbit coupling can realize topologically gapped superconductors hosting Majorana edge modes whose stability is determined by the gap's…

We study the spin and charge currents flowing at the interface of an itinerant ferromagnet with a topological spin-triplet superconductor having different number of time-reversal-invariant Majorana helical modes. Depending on the number of…

超导电性 · 物理学 2016-03-30 Damien Terrade , Dirk Manske , Mario Cuoco

We show that the presence of Majorana zero-modes in a one-dimensional topological superconductor can be detected by adiabatic cooling. This cooling effect results from an increase of the topological entropy associated with the ground state…

介观与纳米尺度物理 · 物理学 2014-01-15 Chang-Yu Hou , Yafis Barlas , Kirill Shtengel

We derive an index theorem for zero-energy Majorana fermion modes in a superconductor-topological insulator system in both two and three dimensions, which is valid for models with chiral symmetry as well as particle-hole symmetry. For more…

介观与纳米尺度物理 · 物理学 2016-02-17 T. Fukui , T. Fujiwara

We study low-lying electron levels in an "antidot" capturing a coreless vortex on the surface of a three-dimensional topological insulator in the presence of disorder. The surface is covered with a superconductor film with a hole of size R…

介观与纳米尺度物理 · 物理学 2012-11-13 P. A. Ioselevich , P. M. Ostrovsky , M. V. Feigel'man

We study the conditions for the existence of unpaired Majorana modes at the ends of vortex lines or the side edges of a layered topological superconductor. We show that the problem is mapped to that of a general Majorana chain and extend…

超导电性 · 物理学 2012-03-01 Babak Seradjeh , Eytan Grosfeld

Majorana zero modes (MZMs) that obey the non-Abelian statistics have been intensively investigated for potential applications in topological quantum computing. The prevailing signals in tunneling experiments "fingerprinting" the existence…

超导电性 · 物理学 2020-03-27 Chaofei Liu , Cheng Chen , Xiaoqiang Liu , Ziqiao Wang , Yi Liu , Shusen Ye , Ziqiang Wang , Jiangping Hu , Jian Wang

We present a new scheme for Majorana modes in systems with nonsymmporhic-symmetry-protected band degeneracy. We reveal that when the gapless fermionic excitations are encoded with conventional superconductivity and magnetism, which can be…

超导电性 · 物理学 2024-10-10 Zhongyi Zhang , Zhenfei Wu , Chen Fang , Fu-chun Zhang , Jiangping Hu , Yuxuan Wang , Shengshan Qin

Topological superconductivity is an exotic state of matter that supports Majorana zero-modes, which are surface modes in 3D, edge modes in 2D or localized end states in 1D. In the case of complete localization these Majorana modes obey…

Topological superconductors are predicted to harbor exotic boundary states - Majorana zero-energy modes - whose non-Abelian braiding statistics present a new paradigm for the realization of topological quantum computing. Using…

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