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The modern understanding of topological insulators is based on Wannier obstructions in position space. Motivated by this insight, we study topological superconductors from a position-space perspective. For a one-dimensional superconductor,…

Superconductivity · Physics 2020-07-02 Frank Schindler , Barry Bradlyn , Mark H. Fischer , Titus Neupert

Recently topological superconductors emerge as a platform to realise Majorana Fermions which has potential application in topological quantum computation. Superconductivity in these materials can be realised by chemical doping, high…

Superconductivity · Physics 2021-08-19 M. Mandal , R. P. Singh

We show that the pair-density-wave (PDW) superconducting state emergent in extended Heisenberg-Hubbard models in two-leg ladders is topological in the presence of an Ising spin symmetry and supports a Majorana zero mode (MZM) at an open…

Strongly Correlated Electrons · Physics 2014-12-22 Gil Young Cho , Rodrigo Soto-Garrido , Eduardo Fradkin

We investigate the topological phase diagram of {an extension of the Haldane model with equal spin pairing superconductivity}. In two dimensions, we find a topological nodal superconducting phase, which exhibits a chiral Majorana mode…

Mesoscale and Nanoscale Physics · Physics 2026-04-21 Simone Traverso , Niccolò Traverso Ziani , Maura Sassetti , Fernando Dominguez

We study the proximity effect between an s-wave superconductor and the surface states of a strong topological insulator. The resulting two dimensional state resembles a spinless p_x+ip_y superconductor, but does not break time reversal…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Liang Fu , C. L. Kane

Second-order topological superconductors host Majorana corner and hingemodes in contrast to conventional edge and surface modes in two and three dimensions. However, the realization of such second-order corner modes usually demands…

Mesoscale and Nanoscale Physics · Physics 2020-06-04 Ya-Jie Wu , Junpeng Hou , Yun-Mei Li , Xi-Wang Luo , Xiaoyan Shi , Chuanwei Zhang

We study possible applications of high critical temperature nodal superconductors for the search for Majorana bound states in the DIII class. We propose a microscopic analysis of the proximity effect induced by d-wave superconductors on a…

Superconductivity · Physics 2016-11-22 Fabio Trani , Gabriele Campagnano , Arturo Tagliacozzo , Procolo Lucignano

We show that in a two-dimensional electron gas with an annular Fermi surface, long-range Coulomb interactions can lead to unconventional superconductivity by the Kohn-Luttinger mechanism. Superconductivity is strongly enhanced when the…

Superconductivity · Physics 2021-12-15 Areg Ghazaryan , Tobias Holder , Maksym Serbyn , Erez Berg

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

Topological superconductivity is an exotic quantum phenomenon with coupled nontrivial topological order and superconductivity together. A direct idea for producing topological superconductors is to create superconductivity based on the well…

Superconductivity · Physics 2022-08-23 Hao Yu , Noah F. Q. Yuan , Wei-Jian Li , Liu-Cheng Chen , Zi-Yu Cao , Di Li , Xiaoying Qin , Chang-De Gong , Xiao-Jia Chen

We show that lattice dislocations of topological iron-based superconductors such as FeTe$_{1-x}$Se$_x$ will intrinsically trap non-Abelian Majorana quasiparticles, in the absence of any external magnetic field. Our theory is motivated by…

Superconductivity · Physics 2022-09-20 Lun-Hui Hu , Rui-Xing Zhang

We study the condition for a topological superconductor (TS) phase with end Majorana fermions to appear when a quasiperiodic lattice modulation is applied to a one-dimensional quantum wire with strong spin-orbit interaction situated under a…

Superconductivity · Physics 2012-04-25 Masaki Tezuka , Norio Kawakami

The upper critical magnetic field H_{c2} in thin-film FSF trilayer spin-valve cores is studied experimentally and theoretically in geometries perpendicular and parallel to the heterostructure surface. The series of samples with variable…

Recently, superconductivity was discovered at very low densities in slightly misaligned graphene multilayers. Surprisingly, despite extremely low electronic density (about $10^{-4}$ electrons per unit cell), these systems realize…

Strongly Correlated Electrons · Physics 2020-04-01 Ivar Martin

We explore superconductivity in strongly interacting electrons on a decorated honeycomb lattice (DHL). An easy-plane ferromagnetic interaction arises from spin-orbit coupling in the Mott insulating phase, which favors a triplet resonance…

Superconductivity · Physics 2022-12-22 Manuel Fernández López , Ben J. Powell , Jaime Merino

The hope to realize Majorana fermions at the vortex core of a two dimensional topological superconductor has led to a variety of proposals for devices which exhibit topological superconductivity. Many of these include superconductivity…

Strongly Correlated Electrons · Physics 2014-11-05 Aaron Farrell , T. Pereg-Barnea

Bringing magnetic metals into superconducting states represents an important approach for realizing unconventional superconductors and potentially even topological superconductors. Altermagnetism, classified as a third basic collinear…

Superconductivity · Physics 2023-11-07 Di Zhu , Zheng-Yang Zhuang , Zhigang Wu , Zhongbo Yan

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 study one-dimensional topological superconductivity in the presence of time-reversal symmetry. This phase is characterized by having a bulk gap, while supporting a Kramers' pair of zero-energy Majorana bound states at each of its ends.…

Mesoscale and Nanoscale Physics · Physics 2016-09-15 Arbel Haim , Konrad Wölms , Erez Berg , Yuval Oreg , Karsten Flensberg

Superconductivity at the interface of a heterostructure confined to nanometer-sized scale offers unique opportunities to study the exotic physics of two-dimensional superconductivity. The realization of superconductivity at the interface…

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