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We investigate states on the surface of strong and weak topological insulators and superconductors that have been gapped by a symmetry breaking term. The surface of a strong 3D topological insulator gapped by a magnetic material is well…

Mesoscale and Nanoscale Physics · Physics 2014-10-07 Ching-Kai Chiu

We consider a one-dimensional, time-reversal-invariant system with attractive interactions and spin-orbit coupling. Such a system is gapless due to the strong quantum fluctuations of the superconducting order parameter. However, we show…

Mesoscale and Nanoscale Physics · Physics 2015-06-18 Anna Keselman , Erez Berg

We study the effect of interactions on the properties of a model 2D topological Kondo insulator phase. Loosely motivated by recent proposals where graphene is hybridized with impurity bands from heavy adatoms with partially filled d-shells,…

Strongly Correlated Electrons · Physics 2015-06-17 Jason Iaconis , Leon Balents

We elaborate the first theoretical realization of two dimensional itinerant topological magnons, based on the quarter filled Haldane-Hubbard model with a nearly-flat electron band. By using the exact diagonalization method with a projection…

Strongly Correlated Electrons · Physics 2019-08-27 Zhao-Long Gu , Zhao-Yang Dong , Shun-Li Yu , Jian-Xin Li

2D topological insulators promise novel approaches towards electronic, spintronic, and quantum device applications. This is owing to unique features of their electronic band structure, in which bulk-boundary correspondences enforces the…

In this work, we show that an in-plane magnetic field can drive a fully gapped $p \pm i p$ topological superconductor into a gapless phase which supports symmetry protected Majorana edge states (MESs). Specifically, an in-plane magnetic…

Superconductivity · Physics 2015-06-05 Chris L. M. Wong , Jie Liu , K. T. Law , Patrick A. Lee

We introduce new three-dimensional topological phases of two-band models using the Pontryagin-Thom construction. In symmetry class A these are the infinitely many Hopf-Chern topological insulators, which are hybrids of layered Chern…

Mesoscale and Nanoscale Physics · Physics 2016-07-27 Ricardo Kennedy

Topological media are systems whose properties are protected by topology and thus are robust to deformations of the system. In topological insulators and superconductors the bulk-surface and bulk-vortex correspondence gives rise to the…

Strongly Correlated Electrons · Physics 2015-05-20 T. T. Heikkila , N. B. Kopnin , G. E. Volovik

Two-dimensional higher-order topology is usually studied in (nearly) particle-hole symmetric models, so that an edge gap can be opened within the bulk one. But more often deviates the edge anticrossing even into the bulk, where corner…

Mesoscale and Nanoscale Physics · Physics 2022-12-07 Junjie Zeng , Chen Chen , Yafei Ren , Zheng Liu , Wei Ren , Zhenhua Qiao

We propose a planar Josephson junction setup to host Majorana modes where the semiconductor is sandwiched between superconductors on both surfaces. While the studied configuration is related to both devices proposed for use with topological…

Superconductivity · Physics 2024-01-05 Huan-Kuang Wu , Jay Sau

Majorana Fermions, strange particles that are their own antiparticles, were predicted in 1937 and have been sought after ever since. In condensed matter they are predicted to exist as vortex core or edge excitations in certain exotic…

Superconductivity · Physics 2013-08-12 Aaron Farrell , T. Pereg-Barnea

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…

Superconductivity · Physics 2025-06-06 A. D. Fedoseev , A. O. Zlotnikov

Higher-order topological phases are gapped phases of matter that host gapless corner or hinge modes. For the case of superconductors, corner or hinge modes are gapless Majorana modes or Majorana zero modes. To construct 3d higher-order…

Superconductivity · Physics 2023-12-13 Ryota Nakai , Kentaro Nomura

We present a detailed theoretical study of chiral topological superconductor phases in proximity-superconducting graphene systems based on an effective model inspired by DFT simulations. Inducing s-wave superconductivity to quantum…

Mesoscale and Nanoscale Physics · Physics 2020-09-10 Petra Högl , Tobias Frank , Denis Kochan , Martin Gmitra , Jaroslav Fabian

We study proximity-induced superconductivity on the surface of a topological insulator (TI), focusing on unconventional pairing. We find that the excitation spectrum becomes gapless for any spin-triplet pairing, such that both subgap bound…

Superconductivity · Physics 2015-05-14 Jacob Linder , Yukio Tanaka , Takehito Yokoyama , Asle Sudbø , Naoto Nagaosa

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

We study the zero-temperature phase diagram of a two dimensional square lattice loaded by spinless fermions, with nearest neighbor hopping and algebraically decaying pairing. We find that for sufficiently long-range pairing, new phases, not…

Strongly Correlated Electrons · Physics 2018-02-14 L. Lepori , D. Giuliano , S. Paganelli

We compute the topological phase diagram of 2D tetragonal superconductors for the only possible nodeless pairing channels compatible with that crystal symmetry. Subject to a Zeeman field and spin-orbit coupling, we demonstrate that these…

Superconductivity · Physics 2019-01-24 Santiago Varona , Laura Ortiz , Oscar Viyuela , Miguel Angel Martin-Delgado

We show that a two-dimensional topological superconductor (TSC) can be realized in a hybrid system with a conventional $s$-wave superconductor proximity-coupled to a quantum anomalous Hall (QAH) state from the Rashba and exchange effects in…

Mesoscale and Nanoscale Physics · Physics 2016-02-10 L. Wang , M. W. Wu

In this letter we present, in a number conserving framework, a model of interacting fermions in a two-wire geometry supporting non-local zero-energy Majorana-like edge excitations. The model has an exactly solvable line, on varying the…

Strongly Correlated Electrons · Physics 2015-10-12 Fernando Iemini , Leonardo Mazza , Davide Rossini , Rosario Fazio , Sebastian Diehl