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Fully gapped two-dimensional superconductors coupled to dynamical electromagnetism are known to exhibit topological order. In this work, we develop a unified low-energy description for spin-singlet paired states by deriving topological…

Superconductivity · Physics 2017-01-17 Sergej Moroz , Abhinav Prem , Victor Gurarie , Leo Radzihovsky

We reveal that in a magnetically polarized medium, a specific commensurate triplet pair density wave (TPDW) superconducting (SC) state, the staggered d-wave $\Pi$-triplet state, may coexist with homogeneous triplet SC states and even…

Superconductivity · Physics 2020-09-23 Marios Georgiou , Georgios Varelogiannis

Higher-order topological superconductivity typically depends on spin-orbit interaction, and often necessitates well designed sample structures, nodal superconducting pairings or complex magnetic order. In this work, we propose a model that…

Mesoscale and Nanoscale Physics · Physics 2025-10-21 Jinpeng Xiao , Qianglin Hu , Zuodong Yu , Weipeng Chen , Xiaobing Luo

In the presence of both space and time reversal symmetries, an s-wave A1g superconducting state is usually topologically trivial. Here we demonstrate that an exception can take place in a type of nonsymmorphic lattice structures. We specify…

Superconductivity · Physics 2022-02-17 Shengshan Qin , Chen Fang , Fu-Chun Zhang , Jiangping Hu

Topological superconductors (TSCs) are unconventional superconductors with bulk superconducting gap and in-gap Majorana states on the boundary that may be used as topological qubits for quantum computation. Despite their importance in both…

Unconventional superconductors are of high interest due to their rich physics, a topical example being topological edge-states associated with $p$-wave superconductivity. A practical obstacle in studying such systems is the very low…

Superconductivity · Physics 2023-07-12 Linde A. B. Olde Olthof , Lina G. Johnsen , Jason W. A. Robinson , Jacob Linder

We develop a theory for interacting fermions in the presence of spin-orbit coupling and Zeeman fields, and show that many new superfluids phases, which are topological in nature, emerge. Depending on values of spin-orbit coupling, Zeeman…

Quantum Gases · Physics 2011-10-31 Kangjun Seo , Li Han , C. A. R. Sá de Melo

We consider the coexistence of superconductivity(SC) and spin-density wave(SDW). The SC is presumed to be of $d_{x^2-y^2}+id_{xy} (d_1 + i d_2) $ type whereas the SDW order parameter is of $BCS$/$d_{x y} $ symmetry. The Hamiltonian having…

Superconductivity · Physics 2015-06-18 Amit Gupta , Debanand Sa

Topological superconductors offer a fertile ground for realizing Majorana zero modes -- topologically protected, zero-energy quasiparticles that are resilient to local perturbations and hold great promise for fault-tolerant quantum…

High-order topological phases host robust boundary states at the boundary of the boundary, which can be interpreted from their boundary topology. In this work, considering the interplay between superconductors and magnetic fields to gap the…

Superconductivity · Physics 2021-09-29 Xun-Jiang Luo , Xiao-Hong Pan , Xin Liu

The topological aspects of electrons in solids emerge in realistic matters as represented by topological insulators. They are expected to show a variety of new magneto-electric phenomena, and especially the ones hosting superconductivity…

Materials Science · Physics 2015-10-28 M. Sakano , K. Okawa , M. Kanou , H. Sanjo , T. Okuda , T. Sasagawa , K. Ishizaka

We introduce the concept of 3D Dirac (Weyl) superconductors (SC), which have protected bulk four(two)-fold nodal points and surface Andreev arcs at zero energy. We provide a sufficient criterion for realizing them in centrosymmetric SCs…

Superconductivity · Physics 2014-07-24 Shengyuan A. Yang , Hui Pan , Fan Zhang

We propose a theoretical framework for generating gapless topological superconductivity (GTSC) hosting Majorana flat edge modes (MFEMs) in the presence of a two-dimensional (2D) array of magnetic adatoms with noncollinear spin texture…

Superconductivity · Physics 2024-05-06 Minakshi Subhadarshini , Amartya Pal , Pritam Chatterjee , Arijit Saha

Recent discovery of topological superconductors (TSCs) has sparked enormous interest. Realization of TSC requires a delicate tuning of multiple microscopic parameters, which remains a great challenge. Here, we develop a first-principles…

Superconductivity · Physics 2021-04-13 Xiaoming Zhang , Kyung-Hwan Jin , Jiahao Mao , Mingwen Zhao , Zheng Liu , Feng Liu

We report on a realistic and rather general scheme where noncollinear magnetic textures proximitized with the most common $s$-wave superconductor can appear as the alternative to $p$-wave superconductor{--}the prime proposal to realize…

Mesoscale and Nanoscale Physics · Physics 2024-03-13 Pritam Chatterjee , Sayan Banik , Sandip Bera , Arnob Kumar Ghosh , Saurabh Pradhan , Arijit Saha , Ashis K. Nandy

Topological superconductors (TSCs) in superconducting hybrid heterostructures, which integrate superconducting and non-superconducting materials, have been intensely investigated with the hope of discovering exotic non-Abelian anyons for…

Superconductivity · Physics 2026-04-14 Joseph J. Cuozzo , Sayed Ali Akbar Ghorashi , Dale Huber , Wei Pan , François Léonard

Recently it was revealed that the whole Fermi surface is fully gapped for several families of underdoped cuprates. The existence of the finite energy gap along the $d$-wave nodal lines ("nodal gap") contrasts the common understanding of the…

Superconductivity · Physics 2014-06-23 Tao Zhou , Yi Gao , Jian-Xin Zhu

We study the spin transport properties of the non-centrosymmetric superconductor with time-reversal-symmetry where spin-triplet $(p_{x} \pm i p_{y})$-wave and spin-singlet s-wave pair potential can mix each other. We show that when the…

Superconductivity · Physics 2009-11-13 Yukio Tanaka , Takehito Yokoyama , Alexander V. Balatsky , Naoto Nagaosa

At an interface between a topological insulator (TI) and a conventional superconductor (SC), superconductivity has been predicted to change dramatically and exhibit novel correlations. In particular, the induced superconductivity by an…

Topological superconductors possess a nodeless superconducting gap in the bulk and gapless zero energy modes, known as "Majorana zero modes", at the boundary of a finite system. In this work, we introduce a new class of topological…

Superconductivity · Physics 2016-01-20 Qing-Ze Wang , Chao-Xing Liu