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Quantum engineering of topological superconductors and of the ensuing Majorana zero modes might hold the key for realizing a new paradigm for the implementation of topological quantum computing and topology-based devices.…

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

We theoretically study the noncollinear magnetic texture effect on second-order topological superconductor (SOTSC) phase generated in unconventional $d$-wave superconductors and two-dimensional (2D) quantum spin Hall insulators (QSHI).…

Mesoscale and Nanoscale Physics · Physics 2025-10-07 Minakshi Subhadarshini , Archana Mishra , Arijit Saha

We introduce higher-order topological Dirac superconductor (HOTDSC) as a new gapless topological phase of matter in three dimensions, which extends the notion of Dirac phase to a higher-order topological version. Topologically distinct from…

Mesoscale and Nanoscale Physics · Physics 2020-12-07 Rui-Xing Zhang , Yi-Ting Hsu , S. Das Sarma

Being motivated by intriguing phenomena such as the breakdown of conventional bulk boundary correspondence and emergence of skin modes in the context of non-Hermitian (NH) topological insulators, we here propose a NH second-order…

Mesoscale and Nanoscale Physics · Physics 2022-10-21 Arnob Kumar Ghosh , Tanay Nag

We put forth a theoretical framework for engineering a two-dimensional (2D) second-order topological superconductor (SOTSC) by utilizing a heterostructure: incorporating noncollinear magnetic textures between an $s$-wave superconductor and…

Mesoscale and Nanoscale Physics · Physics 2024-01-30 Pritam Chatterjee , Arnob Kumar Ghosh , Ashis K. Nandy , Arijit Saha

As platforms of Majorana modes, topological insulator (quantum anomalous Hall insulator)/superconductor (SC) heterostructures have attracted tremendous attention over the past decade. Here we substitute the topological insulator by its…

Mesoscale and Nanoscale Physics · Physics 2019-11-13 Zhongbo Yan

We show that interactions can drive a class of higher order topological superconductors (HOTSC) into symmetry enriched topologically ordered phases exemplified by topological quantum error correcting codes. In two dimensions, interacting…

Strongly Correlated Electrons · Physics 2019-08-21 Yizhi You , Daniel Litinski , Felix von Oppen

We theoretically investigate the Floquet generation of second-order topological superconducting (SOTSC) phase, hosting Majorana corner modes (MCMs), considering a quantum spin Hall insulator (QSHI) with proximity induced superconducting…

Mesoscale and Nanoscale Physics · Physics 2021-01-27 Arnob Kumar Ghosh , Tanay Nag , Arijit Saha

We identify three-dimensional higher-order superconductors characterized by the coexistence of one-dimensional Majorana hinge states and gapless surface sates. We show how such superconductors can be obtained starting from the model of a…

Mesoscale and Nanoscale Physics · Physics 2019-08-13 Sayed Ali Akbar Ghorashi , Xiang Hu , Taylor L. Hughes , Enrico Rossi

We consider three dimensional superconductors in class DIII with a four-fold rotation axis and inversion symmetry. It is shown that such systems can exhibit higher order topology with helical Majorana hinge modes. In the case of even-parity…

Superconductivity · Physics 2019-04-11 Nick Bultinck , B. Andrei Bernevig , Michael P. Zaletel

A $d$-dimensional, $n$th-order topological insulator or superconductor has localized eigenmodes at its $(d-n)$-dimensional boundaries ($n\leq d$). In this work, we apply periodic driving fields to two-dimensional superconductors, and obtain…

Mesoscale and Nanoscale Physics · Physics 2022-12-07 Longwen Zhou

Following a general protocol of periodically driving static first-order topological phases (supporting surface states) with suitable discrete symmetry breaking Wilson-Dirac masses, here we construct a hierarchy of higher-order Floquet…

Mesoscale and Nanoscale Physics · Physics 2021-03-31 Tanay Nag , Vladimir Juricic , Bitan Roy

We demonstrate that a plethora of higher order topological phases emerge in magnet-superconductor hybrid (MSH) systems through the interplay of a stacked magnetic structure and an underlying triangular surface lattice; the latter being of…

In this work, we study the spin texture of a class of higher-order topological superconductors (HOTSC) and show how it can be used to detect and braid Majorana corner modes (MCMs). This class of HOTSC is composed of two-dimensional…

Mesoscale and Nanoscale Physics · Physics 2023-09-20 Xiao-Hong Pan , Xun-Jiang Luo , Jin-Hua Gao , Xin Liu

We theoretically investigate the Floquet generation of second-order topological superconducting (SOTSC) phase in the high-temperature platform both in two-dimension (2D) and three-dimension (3D). Starting from a $d$-wave superconducting…

Mesoscale and Nanoscale Physics · Physics 2021-02-10 Arnob Kumar Ghosh , Tanay Nag , Arijit Saha

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 develop an experimental protocol based on Floquet-engineered ultracold fermions in optical lattices, enabling the emulation of pair-hopping and competing singlet/triplet pairing interactions. Through large-scale density matrix…

Quantum Gases · Physics 2025-04-07 Zhi Lin , Qi Song , Sheng Yue , Ming Yang , Jie Lou , Yan Chen

We show that the chiral Dirac and Majorana hinge modes in three-dimensional higher-order topological insulators (HOTIs) and superconductors (HOTSCs) can be gapped while preserving the protecting $\mathsf{C}_{2n}\mathcal T$ symmetry upon the…

Strongly Correlated Electrons · Physics 2020-02-20 Apoorv Tiwari , Ming-Hao Li , B. A. Bernevig , Titus Neupert , S. A. Parameswaran

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
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