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In the presence of certain symmetries, three-dimensional Dirac semimetals can harbor not only surface Fermi arcs, but also surface Dirac cones. Motivated by the experimental observation of rotation-symmetry-protected Dirac semimetal states…

Superconductivity · Physics 2022-01-17 Majid Kheirkhah , Zheng-Yang Zhuang , Joseph Maciejko , Zhongbo Yan

The nodal $d_{x^2-y^2}$ superconducting gap is a hallmark of the cuprate high T$_c$ superconductors. Surprisingly recent angle-resolved photoemission spectroscopy of deeply underdoped cuprates revealed a nodeless energy gap which is adhered…

Superconductivity · Physics 2015-06-18 Yuan-Ming Lu , Tao Xiang , Dung-Hai Lee

In iron-based superconductors, band inversion of $d$- and $p$-orbitals yields Dirac semimetallic states. We theoretically investigate their topological properties in normal and superconducting phases, based on the tight-binding model…

Superconductivity · Physics 2019-09-18 Takuto Kawakami , Masatoshi Sato

We analyze the topological properties of the possible superconducting states emerging from a Cd$_3$As$_2$-like, $\mathcal{C}_4$-symmetric Dirac semimetal, with two four-fold degenerate Dirac points separated in the $k_z$ direction. Unlike…

Superconductivity · Physics 2022-12-21 Zhenfei Wu , Yuxuan Wang

Time-reversal invariant topological superconductors are a new state of matter which have a bulk superconducting gap and robust Majorana fermion surface states. These have not yet been realized in solid state systems. In this paper, we…

Strongly Correlated Electrons · Physics 2014-07-30 Pavan Hosur , Xi Dai , Zhong Fang , Xiao-Liang Qi

Topological superconductors are exotic gapped phases of matter hosting Majorana mid-gap states on their boundary. In conventional topological superconductors, Majorana in-gap states appear in the form of either localized zero-dimensional…

Mesoscale and Nanoscale Physics · Physics 2021-05-10 Junyeong Ahn , Bohm-Jung Yang

Topological insulators, featuring bulk-boundary correspondence, have been realized on a large number of noncrystalline materials, among which amorphous network, quasicrystals and fractal lattices are the most prominent ones. By contrast,…

Superconductivity · Physics 2024-05-10 Sourav Manna , Sanjib Kumar Das , Bitan Roy

Superconductivity in topological band structures is a platform for many novel exotic quantum phenomena such as emergent supersymmetry. This potential nourishes the search for topological materials with intrinsic superconducting…

We study the intrinsic fully-gapped odd-parity superconducting order in doped nodal-loop materials with a torus-shaped Fermi surface. We show that the mirror symmetry, which protects the nodal loop in the normal state, also protects the…

Strongly Correlated Electrons · Physics 2018-03-21 Hassan Shapourian , Yuxuan Wang , Shinsei Ryu

Type-II Dirac semimetals exhibit a unique Fermi surface topology, which allows them to host novel topological superconductivity (TSC). We reveal a novel inter-orbital superconducting state, corresponding to the B1u and B2u pairings under…

Superconductivity · Physics 2024-10-23 Yue Xie , Xianxin Wu , Zhong Fang , Zhijun Wang

Topological superconductors have long been predicted to host Majorana zero modes which obey non-Abelian statistics and have potential for realizing non-decoherence topological quantum computation. However, material realization of…

Chains of magnetic atoms, placed on the surface of s-wave superconductors, have been established as a laboratory for the study of Majorana bound states. In such systems, the breaking of time reversal due to magnetic moments gives rise to…

Superconductivity · Physics 2021-07-16 Andreas Kreisel , Timo Hyart , Bernd Rosenow

Topological superconductors, characterized by topologically nontrivial states residing in a superconducting gap, are a recently discovered class of materials having Majorana Fermions. The interplay of superconductivity and topological…

Materials Science · Physics 2020-10-12 Peng-Fei Liu , Jingyu Li , Xin-Hai Tu , Huabing Yin , Baisheng Sa , Junrong Zhang , David J. Singh , Bao-Tian Wang

Vortex lines, known as topological defects, are cable of trapping Majorana modes in superconducting topological materials. Previous studies have primarily focused on topological bands with conventional s-wave pairing. However, topological…

Superconductivity · Physics 2026-02-02 Zhongyi Zhang , Zixi Fang , Shengshan Qin , Peng Zhang , Hoi Chun Po , Xianxin Wu

A two-dimensional second-order topological superconductor exhibits a finite gap in both bulk and edges, with the nontrivial topology manifesting itself through Majorana zero modes localized at the corners, i.e., Majorana corner states. We…

Mesoscale and Nanoscale Physics · Physics 2018-05-29 Xiaoyu Zhu

We explore Weyl and Dirac semimetals with tilted nodes as platforms for realizing an intrinsic superconducting diode effect. Although tilting breaks sufficient spatial and time-reversal symmetries, we prove that -- at least for conventional…

Superconductivity · Physics 2024-02-28 Kai Chen , Bishnu Karki , Pavan Hosur

In this paper we find that confining a second-order topological superconductor with a harmonic potential leads to a proliferation of Majorana corner modes. As a consequence, this results in the formation of Majorana corner flat bands which…

Superconductivity · Physics 2020-03-05 Majid Kheirkhah , Yuki Nagai , Chun Chen , Frank Marsiglio

We investigate the role of the coupling between a spin-orbit coupled semiconductor nanowire and a conventional $s$-wave superconductor on the emergence of the topological superconducting phase with Majorana bound states in an applied…

Mesoscale and Nanoscale Physics · Physics 2022-05-05 Oladunjoye A. Awoga , Jorge Cayao , Annica M. Black-Schaffer

We find that a conventional s-wave superconductor in proximity to three dimensional Dirac material (3DDM), to all orders of perturbation in tunneling, induces a combination of s and p-wave pairing only. We show that the Lorentz invariance…

Superconductivity · Physics 2017-10-30 Zahra Faraei , S. A. Jafari

Chiral Majorana hinge modes are characteristic of a second-order topological superconductor in three dimensions. Here we systematically study pairing symmetry in the point group D_{2h}, and find that the leading pairing channels can be of…

Superconductivity · Physics 2021-05-19 Bo Fu , Zi-Ang Hu , Chang-An Li , Jian Li , Shun-Qing Shen