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We study a periodically driven one dimensional Kitaev model in the presence of disorder. In the clean limit our model exhibits four topological phases corresponding to the existence or non-existence of edge modes at zero and pi quasienergy.…

We study the combined effects of disorder and range of the couplings on the phase diagram of one-dimensional topological superconductors. We consider an extended version of the Kitaev chain where hopping and pairing terms couple many sites.…

强关联电子 · 物理学 2023-04-28 Gianluca Francica , Edoardo Maria Tiburzi , Luca Dell'Anna

Superconducting wires with broken time-reversal and spin-rotational symmetries can exhibit two distinct topological gapped phases and host bound Majorana states at the phase boundaries. When the wire is tuned to the transition between these…

介观与纳米尺度物理 · 物理学 2022-11-11 Daniil S. Antonenko , Eslam Khalaf , Pavel M. Ostrovsky , Mikhail A. Skvortsov

Recently, it has been suggested that topological superconductivity and Majorana end states can be realized in a chain of magnetic impurities on the surface of an s-wave superconductor when the magnetic moments form a spin helix as a result…

介观与纳米尺度物理 · 物理学 2013-10-17 Falko Pientka , Leonid I. Glazman , Felix von Oppen

We present a unified study of the effect of periodic, quasiperiodic and disordered potentials on topological phases that are characterized by Majorana end modes in 1D p-wave superconducting systems. We define a topological invariant derived…

强关联电子 · 物理学 2013-08-09 Wade DeGottardi , Diptiman Sen , Smitha Vishveshwara

We study a one-dimensional $p$-wave superconductor subject to non-Hermitian quasiperiodic potentials. Although the existence of the non-Hermiticity, the Majorana zero mode is still robust against the disorder perturbation. The analytic…

无序系统与神经网络 · 物理学 2021-03-24 Tong Liu , Shujie Cheng , Hao Guo , Gao Xianlong

We study a two-band model of fermions in a 1d chain with an antisymmetric hybridization that breaks inversion symmetry. We find that for certain values of its parameters, the $sp$-chain maps formally into a $p$-wave superconducting chain,…

超导电性 · 物理学 2015-06-19 Mucio A. Continentino , Heron Caldas , David Nozadze , Nandini Trivedi

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…

介观与纳米尺度物理 · 物理学 2012-10-22 Jong Soo Lim , Llorens Serra , Rosa Lopez , Ramon Aguado

Spin-orbit coupled superconductors are potentially interesting candidates for realizing topological and potentially non-Abelian states with Majorana Fermions. We argue that time-reversal broken spin-orbit coupled superconductors generically…

超导电性 · 物理学 2013-11-13 Jay D. Sau , Eugene Demler

We consider a normal lead coupled to a Majorana bound state. We show that the spin-resolved current correlations exhibit unique features which distinguish Majorana bound states from other low-energy resonances. In particular, the spin-up…

介观与纳米尺度物理 · 物理学 2015-04-30 Arbel Haim , Erez Berg , Felix von Oppen , Yuval Oreg

In proximity to an s-wave superconductor, a one- or two-dimensional, electron- or hole-doped semiconductor with a sizable spin-orbit coupling and a Zeeman splitting can support a topological superconducting (TS) state. The semiconductor TS…

超导电性 · 物理学 2012-02-28 Jay D. Sau , Sumanta Tewari , S. Das Sarma

We propose an alternative route to transport experiments for detecting Majorana bound states (MBSs) by combining topological superconductivity with quantum optics in a superconducting $pn$ junction containing a quantum dot (QD). We consider…

介观与纳米尺度物理 · 物理学 2022-12-02 L. Bittermann , C. De Beule , D. Frombach , P. Recher

A number of recent works have discussed the issue of spin polarization of a Majorana zero mode in condensed matter systems. Here we show that the spin polarization density of a Majorana zero mode, computed as an average of the spin operator…

介观与纳米尺度物理 · 物理学 2017-07-17 Tudor D. Stanescu , Sumanta Tewari

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…

Strongly interacting topological states in multi-particle quantum systems pose great challenges to both theory and experiment. Recently, bound states of elementary spin waves (magnons) in quantum magnets have been experimentally observed in…

量子物理 · 物理学 2017-11-17 Xizhou Qin , Feng Mei , Yongguan Ke , Li Zhang , Chaohong Lee

Topology-related ideas might lead to noise-resilient quantum computing. For example, it is expected that the slow spatial exchange (`braiding') of Majorana zero modes in superconductors yields quantum gates that are robust against disorder.…

介观与纳米尺度物理 · 物理学 2024-03-13 Péter Boross , András Pályi

We study the Majorana surface states of higher-spin topological superconductors (TSCs) that could be realized in ultracold atomic systems or doped semimetals with spin-orbit coupling. As a paradigmatic example, we consider a model with…

介观与纳米尺度物理 · 物理学 2017-04-12 Sayed Ali Akbar Ghorashi , Seth Davis , Matthew S. Foster

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

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

We investigate the superconducting phase diagram and boundary modes for a quasi-1D system formed by three Fe-Chains on an s-wave superconductor, motivated by the recent Princeton experiment. The $\vec l\cdot\vec s$ onsite spin-orbit term,…

强关联电子 · 物理学 2016-09-26 Yu-Qin Chen , Yi-Ming Wu , Xiong-Jun Liu