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Helical superconductors form a two dimensional, time-reversal invariant topological phase characterized by a Kramers pair of Majorana edge modes (helical Majorana modes). Existing detection schemes to identify this phase rely either on spin…

Superconductivity · Physics 2012-05-17 B. Béri

The interplay of time-reversal and $n$-fold rotation symmetries ($n=2,4,6$) is known to bring a new class of topological crystalline insulators (TCIs) having $n$ surface Dirac cones due to surface rotation anomaly. We show that the…

Superconductivity · Physics 2020-11-25 Shingo Kobayashi , Akira Furusaki

A one dimensional time reversal symmetric topological superconductor (symmetry class DIII) features a single Kramers pair of Majorana bound states at each of its ends. These holographic quasiparticles are non-Abelian anyons that obey…

Mesoscale and Nanoscale Physics · Physics 2013-10-30 Jan Carl Budich , Eddy Ardonne

Conventional $n$-dimensional topological superconductors (TSCs) have protected gapless $(n - 1)$-dimensional boundary states. In contrast to this, second-order TSCs are characterized by topologically protected gapless $(n - 2)$-dimensional…

Mesoscale and Nanoscale Physics · Physics 2018-12-17 Tao Liu , James Jun He , Franco Nori

A semiconducting nanowire with strong Rashba coupling and in proximity of a superconductor hosts Majorana edge modes. An array of such nanowires with inter-wire coupling gives an approximate description of a two-dimensional topological…

Mesoscale and Nanoscale Physics · Physics 2021-01-08 Deepti Rana , Goutam Sheet

A topological superconductor features at its boundaries and vortices Majorana fermions, which are potentially applicable for topological quantum computations. The scarcity of the known experimentally verified physical systems with…

Superconductivity · Physics 2020-03-18 Minseong Lee , Hyun-Jae Lee , Jun Hee Lee , Suk Bum Chung

To pinpoint the microscopic mechanism for superconductivity has proven to be one of the most outstanding challenges in the physics of correlated quantum matter. Thus far, the most direct evidence for an electronic pairing mechanism is the…

Superconductivity · Physics 2015-01-29 Mathias S. Scheurer , Jörg Schmalian

For Josephson junctions based on s-wave superconductors, time-reversal symmetry is known to allow for powerful relations between the normal-state junction properties, the excitation spectrum, and the Josephson current. Here we provide…

Mesoscale and Nanoscale Physics · Physics 2018-08-10 E. A. Mellars , B. Béri

Superconducting vortices are promising traps to confine non-Abelian Majorana quasi-particles. It has been widely believed that bulk-state topology, of either normal-state or superconducting ground-state wavefunctions, is crucial for…

Superconductivity · Physics 2023-02-13 Lun-Hui Hu , Rui-Xing Zhang

Topological superconductivity has attracted great interest due to its fundamental significance for realizing Majorana quasiparticles and fault-tolerant quantum computation. Nonsymmorphic superconductors, with symmetry-protected nontrivial…

We demonstrate that the one-dimensional helical Majorana edges of two-dimensional time-reversal symmetric topological superconductors (class DIII) can become gapless and insulating by a combination of random edge velocity and interaction.…

Strongly Correlated Electrons · Physics 2021-02-10 Yang-Zhi Chou , Rahul M. Nandkishore

We study three-dimensional time-reversal-invariant topological superconductivity in noncentrosymmetric materials such as RhSi, CoSi, and AlPt which host coupled multifold nodes energetically split by the spin-orbit coupling at the same…

Superconductivity · Physics 2022-01-11 Changhee Lee , Chiho Yoon , Taehyeok Kim , Suk Bum Chung , Hongki Min

Interest in topological states of matter exploded over a decade ago with the theoretical prediction and experimental detection of three-dimensional topological insulators, especially in bulk materials that can be tuned out of it by doping.…

Superconductivity · Physics 2020-03-25 Ayo Kolapo , Tingxin Li , Pavan Hosur , John H. Miller

Topological superconductivity has been sought for in a variety of heterostructure systems, the interest being that a material displaying such a phenomenon could prove to be the ideal platform to support Majorana fermions, which in turn…

Superconductivity · Physics 2021-01-22 N. Zaki , G. Gu , A. M. Tsvelik , C. Wu , P. D. Johnson

Time-reversal-invariant topological superconductors have a full paring gap in the bulk and gapless Majorana states at the edge or on the surface. Here, we theoretically propose topological superconductivity in a doped quantum spin Hall…

Superconductivity · Physics 2014-08-08 Jing Wang , Yong Xu , Shou-Cheng Zhang

We introduce a one-dimensional non-Hermitian Kitaev chain with staggered imbalance in the $p$-wave superconducting pairing. By tuning the chemical potential and the pairing imbalance, we find that the eigenenergy spectrum undergoes…

Mesoscale and Nanoscale Physics · Physics 2026-05-19 Xiao-Jue Zhang , Rong Lü , Qi-Bo Zeng

We prove that a system of non-interacting electrons proximity coupled to a conventional s-wave superconductor cannot realize a time reversal invariant topological phase. This is done by showing that for such a system, in either one or two…

Mesoscale and Nanoscale Physics · Physics 2016-10-26 Arbel Haim , Erez Berg , Karsten Flensberg , Yuval Oreg

Among the different platforms to engineer Majorana fermions in one-dimensional topological superconductors, topological insulator nanowires remain a promising option. Threading an odd number of flux quanta through these wires induces an odd…

Mesoscale and Nanoscale Physics · Physics 2019-05-22 Fernando de Juan , Jens H. Bardarson , Roni Ilan

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

The extension of the topological classification of band insulators to topological semimetals gave way to the topology classes of Dirac, Weyl, and nodal line semimetals with their unique Fermi arc and drum head boundary modes. Similarly,…