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Vortices in chiral topological superconductors are known for trapping Majorana zero modes as a signature response to their bulk-state topologies. In this work, we establish a similar bulk-vortex correspondence for two-dimensional…

强关联电子 · 物理学 2022-08-04 Rui-Xing Zhang

In the present study topologically nontrivial edge and vortex bound states are described in the coexistence phase of chiral spin-singlet superconductivity and noncollinear spin ordering on a triangular lattice in the presence of few (up to…

超导电性 · 物理学 2023-04-27 A. O. Zlotnikov

The helical electron states on the surface of topological insulators or elemental Bismuth become unstable toward superconducting pairing formation when coupled to the charge or magnetic fluctuations. The latter gives rise to pairing…

超导电性 · 物理学 2019-10-23 Hossein Hosseinabadi , Mehdi Kargarian

Nodal noncentrosymmetric superconductors have topologically nontrivial properties manifested by protected zero-energy surface states. Specifically, it was recently found that zero-energy surface flat bands of topological origin appear at…

超导电性 · 物理学 2012-01-13 Andreas P. Schnyder , P. M. R. Brydon , Carsten Timm

We investigate the structure of vortex-bound states in spin-singlet chiral superconductors with ($d_{x^2-y^2} \pm i d_{xy}$)-wave and ($d_{xz} \pm id_{yz}$)-wave pairing symmetries. It is found that vortices in the ($d_{xz} \pm…

超导电性 · 物理学 2016-03-15 Darrick Lee , Andreas P. Schnyder

Although the appearance of vortex-localized states with zero energy in first-order topological superconductors is well known, their possibility to form in the higher-order topological phase of 2D systems has not been completely uncovered…

超导电性 · 物理学 2025-06-06 A. D. Fedoseev , A. O. Zlotnikov

Majorana quasi-particles may arise as zero-energy bound states in vortices on the surface of a topological insulator that is proximitized by a conventional superconductor. Such a system finds its natural realization in the iron-based…

超导电性 · 物理学 2021-03-24 Vedangi Pathak , Stephan Plugge , Marcel Franz

Vortices in topological superconductors are predicted to host Majorana bound states (MBSs) as exotic quasiparticles. In recent experiments, the spatially non-split zero-energy vortex bound state in topological superconductors has been…

超导电性 · 物理学 2024-06-12 Howon Kim , Yuki Nagai , Levente Rózsa , Dominik Schreyer , Roland Wiesendanger

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…

超导电性 · 物理学 2020-11-25 Shingo Kobayashi , Akira Furusaki

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,…

We propose to study the lattice-symmetry protection of Majorana zero bound modes in topological crystalline superconductors (SCs). With an induced $s$-wave superconductivity in the $(001)$-surface of the topological crystalline insulator…

强关联电子 · 物理学 2015-01-28 Xiong-Jun Liu , James J. He , K. T. Law

We prove a topological criterion for the existence of zero-energy Majorana bound-state on a disclination, a rotation symmetry breaking point defect, in 4-fold symmetric topological crystalline superconductors (TCS). We first establish a…

介观与纳米尺度物理 · 物理学 2013-12-20 Jeffrey C. Y. Teo , Taylor L. Hughes

Noncentrosymmetric superconductors with strong spin-orbit coupling and the B phase of ${}^3$He are possible realizations of topological superconductors with time-reversal symmetry. The nontrivial topology of these time- reversal invariant…

超导电性 · 物理学 2015-01-27 Raquel Queiroz , Andreas P. Schnyder

The existence of edge states and zero energy modes in vortex cores is a hallmark of topologically nontrivial phases realized in various condensed matter systems such as the fractional quantum Hall states, p+ip superconductors, and Z_2…

超导电性 · 物理学 2009-04-03 Masatoshi Sato , Satoshi Fujimoto

We classify discrete-rotation symmetric topological crystalline superconductors (TCS) in two dimensions and provide the criteria for a zero energy Majorana bound state (MBS) to be present at composite defects made from magnetic flux,…

超导电性 · 物理学 2017-02-23 Wladimir A. Benalcazar , Jeffrey C. Y. Teo , Taylor L. Hughes

We numerically show that the zero-energy Majorana surface states are suppressed around a vortex in the three-dimensional topological superconductors such as Cu$_{x}$Bi$_{2}$Se$_{3}$ and Sn$_{1-x}$In$_{x}$Te. On the other hand, the…

超导电性 · 物理学 2015-02-09 Yuki Nagai , Hiroki Nakamura , Masahiko Machida

We study a new type of three-dimensional topological superconductors that exhibit Majorana zero modes (MZM) protected by a magnetic group symmetry, a combined antiunitary symmetry composed of a mirror reflection and time-reversal. This new…

介观与纳米尺度物理 · 物理学 2014-03-12 Chen Fang , Matthew J. Gilbert , B. Andrei Bernevig

Nodal topological superconductors display zero-energy Majorana flat bands at generic edges. The flatness of these edge bands, which is protected by time-reversal and translation symmetry, gives rise to an extensive ground-state degeneracy.…

强关联电子 · 物理学 2016-06-22 Johannes S. Hofmann , Fakher F. Assaad , Andreas P. Schnyder

Majorana bound states are quasiparticle excitations localized at the boundaries of a topologically nontrivial superconductor. They are zero-energy, charge-neutral, particle-hole symmetric, and spatially-separated end modes which are…

介观与纳米尺度物理 · 物理学 2022-12-21 Pasquale Marra

Majorana zero modes are central to the pursuit of fault-tolerant topological quantum computation. While traditionally sought in one-dimensional hybrid nanowires, a robust alternative platform involves heterostructures combining…

介观与纳米尺度物理 · 物理学 2026-05-11 A. S. Slobodskoi , S. S. Apostoloff , I. S. Burmistrov
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