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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.…

Strongly Correlated Electrons · Physics 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…

Mesoscale and Nanoscale Physics · Physics 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…

Mesoscale and Nanoscale Physics · Physics 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…

Strongly Correlated Electrons · Physics 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…

Disordered Systems and Neural Networks · Physics 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,…

Superconductivity · Physics 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…

Mesoscale and Nanoscale Physics · Physics 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…

Superconductivity · Physics 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…

Mesoscale and Nanoscale Physics · Physics 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…

Superconductivity · Physics 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…

Mesoscale and Nanoscale Physics · Physics 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…

Mesoscale and Nanoscale Physics · Physics 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…

Quantum Physics · Physics 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.…

Mesoscale and Nanoscale Physics · Physics 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…

Mesoscale and Nanoscale Physics · Physics 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…

Superconductivity · Physics 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…

Mesoscale and Nanoscale Physics · Physics 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,…

Strongly Correlated Electrons · Physics 2016-09-26 Yu-Qin Chen , Yi-Ming Wu , Xiong-Jun Liu
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