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A hallmark feature of topological physics is the presence of one-way propagating chiral modes at the system boundary. The chirality of edge modes is a consequence of the topological character of the bulk. For example, in a non-interacting…

Mesoscale and Nanoscale Physics · Physics 2016-03-02 Sunil Mittal , Sriram Ganeshan , Jingyun Fan , Abolhassan Vaezi , Mohammad Hafezi

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…

Mesoscale and Nanoscale Physics · Physics 2016-04-27 N. Sedlmayr , J. M. Aguiar-Hualde , C. Bena

Majorana zero modes (MZMs) have been proposed as a promising basis for Majorana qubits offering great potential for topological quantum computation. Such modes may form at the ends of a magnetic atomic chain on a superconductor. Typically…

We study a bipartite Kronig-Penney model with negative Dirac-delta potentials that may be used, amongst other models, to interpret plasmon propagation in nanoparticle arrays. Such a system can be mapped into a Su-Schrieffer-Heeger-like…

Mesoscale and Nanoscale Physics · Physics 2020-10-15 Thomas Benjamin Smith , Alessandro Principi

It is known that the surface of a three-dimensional topological insulator (3D TI) supports a chiral Majorana edge mode at the interface between a superconductor and a magnetic insulator. The complexity of the materials combination is such…

Mesoscale and Nanoscale Physics · Physics 2024-11-11 C. W. J. Beenakker

We consider a 1D topological superconductor (TSC) constructed by coupling a pair of Kitaev's Majorana chains with opposite spin configurations. Such a 1D lattice model is known to be protected by a $T^2 = -1$ time-reversal symmetry.…

Mesoscale and Nanoscale Physics · Physics 2021-03-02 Alestin Mawrie

We discuss the properties of topologically nontrivial superconducting phases and the conditions for their realization in condensed matter, and the principles for identifying Majorana bound states (MBSs). Along with the well-known Kitaev…

Mesoscale and Nanoscale Physics · Physics 2022-05-23 V. V. Val'kov , M. S. Shustin , S. V. Aksenov , A. O. Zlotnikov , A. D. Fedoseev , V. A. Mitskan , M. Yu. Kagan

Recently there is trend to study topological properties in one-dimensional(1D) periodic systems. Concepts such as Zak phase are considered as topological invariants that characterize the bulk bands. The bulk 1D systems are classified to…

Strongly Correlated Electrons · Physics 2019-01-14 Yi-Dong Wu

We present a detailed investigation of the topological phases and Majorana fermion (MF) excitations that arise from the bulk interplay between (un)conventional one/two-band spin-singlet superconductivity and a number of magnetic texture…

Superconductivity · Physics 2022-03-28 Daniel Steffensen , Morten H. Christensen , Brian M. Andersen , Panagiotis Kotetes

We study the topological optical states in one-dimensional (1D) dimerized ultracold atomic chains, as an extension of the Su-Schrieffer-Heeger (SSH) model. By taking the fully retarded near-field and far-field dipole-dipole interactions…

Optics · Physics 2018-08-15 B. X. Wang , C. Y. Zhao

Majorana edge modes are candidate elements of topological quantum computing. In this work, we purpose a Floquet engineering approach to generate arbitrarily many non-Hermitian Majorana zero and $\pi$ modes at the edges of a one-dimensional…

Mesoscale and Nanoscale Physics · Physics 2020-03-17 Longwen Zhou

Recent years saw the complete classification of topological band structures, revealing an abundance of topological crystalline insulators. Here we theoretically demonstrate the existence of topological materials beyond this framework,…

Mesoscale and Nanoscale Physics · Physics 2019-11-13 Daniel Varjas , Alexander Lau , Kim Pöyhönen , Anton R. Akhmerov , Dmitry I. Pikulin , Ion Cosma Fulga

Non-Hermiticity gives rise to unique topological phases without Hermitian analogs. However, the effective field theory has yet to be established. Here, we develop a field-theoretical description of the intrinsic non-Hermitian topological…

Mesoscale and Nanoscale Physics · Physics 2021-06-01 Kohei Kawabata , Ken Shiozaki , Shinsei Ryu

After a decade of intense theoretical and experimental efforts, demonstrating braiding of Majorana modes remains an unsolved problem in condensed matter physics due to platform specific challenges. In this work, we propose topological…

Mesoscale and Nanoscale Physics · Physics 2022-10-20 Shiva T. Konakanchi , Jukka I. Väyrynen , Yong P. Chen , Pramey Upadhyaya , Leonid P. Rokhinson

By numerically solving the effective continuous model of a topological insulator with parameters corresponding to the band structure of the topological insulator Bi2Se3 , we analyze possible appearance of one-dimensional states in various…

Mesoscale and Nanoscale Physics · Physics 2018-12-10 N. I. Fedotov , S. V. Zaitsev-Zotov

We investigate one-dimensional (1D) Majorana bound states (MBSs) realized in terms of the helical edge states of a 2D quantum spin-Hall insulator (QSHI) in a heterostructure with a superconducting substrate and two ferromagnetic insulators…

Superconductivity · Physics 2016-01-20 Takuto Kawakami , Xiao Hu

Robust boundary states epitomize how deep physics can give rise to concrete experimental signatures with technological promise. Of late, much attention has focused on two distinct mechanisms for boundary robustness - topological protection,…

Mesoscale and Nanoscale Physics · Physics 2021-12-30 Deyuan Zou , Tian Chen , Wenjing He , Jiacheng Bao , Ching Hua Lee , Houjun Sun , Xiangdong Zhang

New types of self-similar states are found in quasiperiodic systems characterized by topological invariants-- the Chern numbers. We show that the topology introduces a competing length in the self-similar band edge states transforming peaks…

Quantum Physics · Physics 2015-06-11 Indubala I Satija , Gerardo G. Naumis

Quantum devices characterized by non-Hermitian topology are predicted to show highly robust and potentially useful properties, but realizing them has remained a daunting experimental task. This is because non-Hermiticity is often associated…

We investigate the interplay between non-Hermitian skin effect (NHSE) and topological properties in two-dimensional topological superconductor. Two kinds of non-Hermiticity are considered. The first is the spin-independent non-reciprocal…

Superconductivity · Physics 2024-11-13 Hong Wang , Ming Lu , Jie Liu