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Majorana fermions are rising as a promising key component in quantum computation. While the prevalent approach is to use a quadratic (i.e. non-interacting) Majorana Hamiltonian, when expressed in terms of Dirac fermions, generically the…

超导电性 · 物理学 2015-09-24 Zhoushen Huang , P. Wolfle , A. V. Balatsky

We investigate the sub gap properties of a three terminal Josephson T-junction composed of topologically superconducting wires connected by a normal metal region. This system naturally hosts zero energy Andreev bound states which are of…

介观与纳米尺度物理 · 物理学 2017-02-03 Christian Spånslätt , Eddy Ardonne

Effects associated with the existence of isolated zero modes of Majorana fermions are discussed. It is argued that the quantization of this system necessarily contains highly extended quantum states and that populating and depopulating such…

其他凝聚态物理 · 物理学 2007-05-23 Gordon W. Semenoff , Pasquale Sodano

The electron number-parity of the ground state of a semiconductor narowire proximity-coupled to a bulk superconductor can alternate between the quantised values $\pm 1$ if parameters such as the wire length $L$, the chemical potential $\mu$…

介观与纳米尺度物理 · 物理学 2015-01-14 Gilad Ben-Shach , Arbel Haim , Ian Appelbaum , Yuval Oreg , Amir Yacoby , Bertrand I. Halperin

The sole static electromagnetic property of a spin-$\frac{1}{2}$ Majorana fermion is its anapole moment. Though they cannot couple to single real photons, these particles can interact with electric currents through virtual photons. If a…

高能物理 - 唯象学 · 物理学 2022-12-07 Kiana Walter , Kobi Hall , David C. Latimer

We study Majorana zero modes properties in cylindrical cross-section semiconductor quantum wires based on the $k \cdot p$ theory and a discretized lattice model. Within this model, the influence of disorder potentials in the wire and…

介观与纳米尺度物理 · 物理学 2021-07-27 Chao Lei , Guru Khalsa , Jiangfeng Du , Allan H. MacDonald

We present calculations of Majorana edge modes in cylindrical nanowires of a semiconductor material with proximity-induced superconductivity. We consider a Rashba field along the transverse direction and an applied magnetic field in…

介观与纳米尺度物理 · 物理学 2013-08-20 Jong Soo Lim , Rosa López , Llorenç Serra

Motivated by recent experiments searching for Majorana fermions (MFs) in hybrid semiconducting-superconducting nanostructures, we consider a realistic tight-binding model and analyze its transport behavior numerically. In particular, we…

介观与纳米尺度物理 · 物理学 2013-02-04 Diego Rainis , Luka Trifunovic , Jelena Klinovaja , Daniel Loss

In the presence of Rashba spin-orbit coupling, magnetic field can drive a proximitized nanowire into a topological superconducting phase. We study transport properties of such nanowires in the Coulomb blockade regime. The associated with…

超导电性 · 物理学 2017-08-09 Roman M. Lutchyn , Leonid I. Glazman

Spin-orbit coupled semiconducting nanowires with proximity-induced superconductivity are expected to host Majorana zero modes at their endpoints when a sufficiently strong magnetic field is applied. The resulting phase would be a…

介观与纳米尺度物理 · 物理学 2017-11-22 David J. Clarke

The Majorana phase boundaries in planar 2D hybrid (semiconductor-superconductor) nanowires are modified by orbital effects due to off plane magnetic components. We show that Majorana zero modes survive sizable vertical field tiltings,…

介观与纳米尺度物理 · 物理学 2015-07-20 Javier Osca , Llorenç Serra

We investigate the collisions of Majorana zero modes, which are presented as inter-soliton collisional events in fermionic superfluids with spin-orbit coupling. Our results demonstrate that, the zero energy splitting, induced by the…

量子气体 · 物理学 2023-12-27 Liang-Liang Wang , Wenjun Shao , Jian Li

Directly observing a zero energy Majorana state in the vortex core of a chiral superconductor by tunneling spectroscopy requires energy resolution better than the spacing between core states $\Delta^2/eF$. We show that nevertheless, its…

强关联电子 · 物理学 2008-12-30 Yaacov E. Kraus , Assa Auerbach , H. A. Fertig , Steven H. Simon

Chiral and helical Majorana edge modes are two archetypal gapless excitations of two-dimensional topological superconductors. They belong to superconductors from two different Altland-Zirnbauer symmetry classes characterized by $\mathbb{Z}$…

介观与纳米尺度物理 · 物理学 2019-12-25 Haiping Hu , Indubala I. Satija , Erhai Zhao

The interplay between superconductivity, magnetic field and spin-orbit coupling can lead to the realization of non--trivial topological phases. Recent experiments have found signatures of such phases in magnetic nanoflakes formed by…

介观与纳米尺度物理 · 物理学 2020-12-07 Andrzej Ptok , David J. Alspaugh , Szczepan Głodzik , Aksel Kobiałka , Andrzej M. Oleś , Pascal Simon , Przemysław Piekarz

The realization of Majorana corner modes generally requires unconventional superconducting pairing or $s$-wave pairing. However, the bulk nodes in unconventional superconductors and the low $T_c$ of $s$-wave superconductors are not…

超导电性 · 物理学 2023-06-14 Yu-Xuan Li , Cheng-Cheng Liu

Vortices of several condensed matter systems are predicted to have zero-energy core excitations which are Majorana fermions. These exotic quasi-particles are neutral, massless, and expected to have non-Abelian statistics. Furthermore, they…

强关联电子 · 物理学 2011-11-02 Yaacov E. Kraus , Ady Stern

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

We study a disordered superconducting nanowire, with broken time-reversal and spin-rotational symmetry, which can be driven into a topological phase with end Majorana bound states by an externally applied magnetic field. As a function of…

介观与纳米尺度物理 · 物理学 2013-11-22 Benjamin M. Fregoso , Alejandro M. Lobos , S. Das Sarma

Obeying non-Abelian statistics, Majorana fermions holds a promise to implement fault-tolerant quantum computing. It was found that Majorana fermions can be simulated by the zero-energy excitation in a nanowire with strong spin-orbit…

量子物理 · 物理学 2024-05-24 Ming-Jian Gao , Yu-Peng Ma , Jun-Hong An