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Combining multiple emergent correlated properties such as superconductivity and magnetism within the topological matrix can have exceptional consequences in garnering new and exotic physics. Here, we study the topological surface states…

Topological crystalline metals/semimetals (TCMs) have stimulated a great research interest, which broaden the classification of topological phases and provide a valuable platform to explore topological superconductivity. Here, we report the…

Conventional topological superconductors are fully gapped in the bulk but host gapless Majorana modes on their boundaries. We instead focus on a new class of superconductors, second-order topological superconductors, that have gapped,…

Superconductivity · Physics 2018-11-09 Yuxuan Wang , Mao Lin , Taylor L. Hughes

We study the superconductivity of spin-polarized electrons in centrosymmetric ferromagnetic metals. Due to the spin-polarization and the Fermi statistics of electrons, the superconducting pairing function naturally has odd parity. According…

Mesoscale and Nanoscale Physics · Physics 2020-03-18 Junyeong Ahn , Bohm-Jung Yang

As one of the simplest systems for realizing Majorana fermions, topological superconductor plays an important role in both condensed matter physics and quantum computations. Based on \emph{ab~initio} calculations and the analysis of an…

Superconductivity · Physics 2016-09-06 Gang Xu , Biao Lian , Peizhe Tang , Xiao-Liang Qi , Shou-Cheng Zhang

We show that interacting electrons in a flat Chern band can form, in addition to fractional Chern insulators, a chiral $f$-wave topological superconductor that hosts neutral Majorana fermion edge modes. Superconductivity emerges from an…

Superconductivity · Physics 2025-10-23 Daniele Guerci , Ahmed Abouelkomsan , Liang Fu

Topological Dirac semimetals (TDSs) exhibit bulk Dirac cones protected by time reversal and crystal symmetry, as well as surface states originating from non-trivial topology. While there is a manifold possible onset of superconducting order…

Discovery of the new two-dimensional (2D) Dirac semimetals incorporating both superconductivity and the topological band structure has provided a novel platform for realizing the intriguing applications of Dirac fermions and Majorana…

Materials Science · Physics 2019-12-19 Ali Ebrahimian , Mehrdad Dadsetani , Reza Asgari

Motivated by the recent experiment indicating that superconductivity in the doped topological insulator Cu$_x$Bi$_2$Se$_3$ has an odd-parity pairing symmetry with rotational symmetry breaking, we study the general class of odd-parity…

Superconductivity · Physics 2016-12-15 Jörn W. F. Venderbos , Vladyslav Kozii , Liang Fu

Recent experiments have provided evidence that one-dimensional (1D) topological superconductivity can be realized experimentally by placing transition metal atoms that form a ferromagnetic chain on a superconducting substrate. We address…

Mesoscale and Nanoscale Physics · Physics 2015-01-08 Jian Li , Hua Chen , Ilya K. Drozdov , A. Yazdani , B. Andrei Bernevig , A. H. MacDonald

We theoretically propose that hexagonal silicon-based crystals, $P6/m$-Si$_6$ and $P6/m$-NaSi$_6$, are topological Dirac semimetals with superconducting critical temperatures of 12 K and 13 K, respectively, at ambient pressure. Band…

Superconductivity · Physics 2023-04-06 Alex Takyung Lee , Kyungwha Park , In-Ho Lee

Intensive studies for more than three decades have elucidated multiple superconducting phases and odd-parity Cooper pairs in a heavy fermion superconductor UPt$_3$. We identify a time-reversal invariant superconducting phase of UPt$_3$ as a…

Superconductivity · Physics 2017-06-30 Youichi Yanase , Ken Shiozaki

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…

Topological superconductors have shown great potential in the search for unique quasiparticles such as Majorana fermions. Combining nontrivial band topology and superconductivity can lead to topological superconductivity due to the…

Materials Science · Physics 2019-02-22 Richard Zhan , Xuan Luo

Topological superconductivity has attracted intensive interest for its ability of hosting Majorana zero mode and implementing in topological quantum computations. Based on the first-principles calculations and the analysis of the effective…

Mesoscale and Nanoscale Physics · Physics 2023-01-10 Wenjun Liu , Aiyun Luo , Guyue Zhong , Jinyu Zou , Gang Xu

Iron-based superconductors offer an ideal platform for studying topological superconductivity and Majorana fermions. In this paper, we carry out a comprehensive study of the band topology and topological surface states of a number of…

Superconductivity · Physics 2022-09-13 Xiaobo Ma , Guangwei Wang , Rui Liu , Tianye Yu , Yiran Peng , Pengyu Zheng , Zhiping Yin

Bulk superconductivity in a topological semimetal is a first step towards realizing topological superconductors, which can host Majorana fermions allowing us to achieve quantum computing. Here, we report superconductivity and compensation…

Superconductivity · Physics 2022-05-18 M. Oudah , J. Bannies , D. A. Bonn , M. C. Aronson

We present a theory of the high-spin generalization of topological insulators and their doped superconducting states. The higher-spin topological insulators involve a pair of $J=3/2$ bands with opposite parity, and are characterized by…

Superconductivity · Physics 2018-11-21 Takuto Kawakami , Tetsuya Okamura , Shingo Kobayashi , Masatoshi Sato

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

The presence or absence of certain symmetries in the normal state (NS) also determines the symmetry of the Cooper pairs. Here we show that parity (${\mathcal P}$) and time-reversal (${\mathcal T}$) odd Dirac insulators (trivial or…

Mesoscale and Nanoscale Physics · Physics 2020-07-01 Bitan Roy