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We identify time-reversal symmetry breaking mixed-parity superconducting states that feature eight Majorana corner modes in properly cleaved three-dimensional cubic crystals. Namely, when an odd-parity isotropic $p$-wave pairing coexists…

Superconductivity · Physics 2021-11-11 Bitan Roy , Vladimir Juricic

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

Topological superconductors are an intriguing and elusive quantum phase, characterized by topologically protected gapless surface/edge states residing in a bulk superconducting gap, which hosts Majorana fermions. Unfortunately, all…

Superconductivity · Physics 2019-05-10 Kyung-Hwan Jin , Huaqing Huang , Jia-Wei Mei , Zheng Liu , Lih-King Lim , Feng Liu

In the heterostructure composed of a topological insulator sandwiched by two s-wave superconductors, the time reversal invariant topological superconducting phase, possessing helical Majorana edge modes, is found to exist when the two…

Mesoscale and Nanoscale Physics · Physics 2012-08-21 Chao-Xing Liu , Bjoern Trauzettel

We theoretically study superconducting proximity effect between a topological insulator (TI) and a high-temperature d-wave superconductor (dSC). When the TI-dSC heterostructure violates 90 degree-rotation and certain reflection symmetries,…

Strongly Correlated Electrons · Physics 2015-06-30 Zi-Xiang Li , Cheung Chan , Hong Yao

Time-reversal breaking topological superconductors are new states of matter which can support Majorana zero modes at the edge. In this paper, we propose a new realization of one-dimensional topological superconductivity and Majorana zero…

Mesoscale and Nanoscale Physics · Physics 2014-09-24 Gang Xu , Jing Wang , Binghai Yan , Xiao-Liang Qi

Chiral and helical Majorana edge modes are two archetypal gapless excitations of two-dimensional topological superconductors. They belong to superconductors from two different Altland-Zirnbauer symmetry classes characterized by $\mathbb{Z}$…

Mesoscale and Nanoscale Physics · Physics 2019-12-25 Haiping Hu , Indubala I. Satija , Erhai Zhao

Higher order topological superconductors hosting Majorana-Kramers pairs (MKPs) as corner modes have recently been proposed in a two-dimensional (2D) quantum spin Hall insulator (QSHI) proximity-coupled to unconventional cuprate or…

Mesoscale and Nanoscale Physics · Physics 2019-08-14 Chuanchang Zeng , T. D. Stanescu , Chuanwei Zhang , V. W. Scarola , Sumanta Tewari

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

We investigate characteristic features in the spin response of doped three-dimensional topological insulators with odd-parity unequal-spin superconducting pairing, which are predicted to have gapless Majorana surface modes. These Majorana…

Superconductivity · Physics 2013-04-29 Björn Zocher , Bernd Rosenow

In a first-order topological phase with sublattice degrees of freedom, a change in the boundary sublattice termination has no effect on the existence of gapless boundary states in dimensions higher than one. However, such a change may…

Superconductivity · Physics 2022-08-26 Majid Kheirkhah , Di Zhu , Joseph Maciejko , Zhongbo Yan

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

A two-dimensional time-reversal symmetric topological superconductor is a fully gapped system possessing a helical Majorana mode on the edges. This helical Majorana edge mode (HMEM), which is a Kramer's pair of two chiral Majorana edge…

Superconductivity · Physics 2018-09-12 Yingyi Huang , Ching-Kai Chiu

To guide experimental work on the search for Majorana zero-energy modes, we calculate the superconducting pairing symmetry of a three-dimensional topological insulator in combination with an s-wave superconductor. In analogy to the case of…

Superconductivity · Physics 2015-07-28 M. Snelder , A. A. Golubov , Y. Asano , A. Brinkman

Topological superconductors are a class of unconventional superconducting materials featuring sub-gap zero-energy Majorana bound modes that hold promise as a building block for topological quantum computing. In this work, we study the…

Superconductivity · Physics 2023-10-30 Zi-Ming Wang , Meng Zeng , Chen Lu , Da-Shuai Ma , Rui-Xing Zhang , Lun-Hui Hu , Dong-Hui Xu

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

Proximity-induced superconductivity in low-dimensional systems offers a powerful pathway to engineer topological superconducting phases in, otherwise, non-superconducting systems. These exotic phases are of fundamental and technological…

Mesoscale and Nanoscale Physics · Physics 2026-05-05 M. García Olmos , Y. Baba , R. A. Molina , M. Amado

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 uncover a novel two-particle Berry phase mechanism to realize exotic corner modes in second-order topological insulators (TIs) and topological superconductors (TSCs) with time-reversal symmetry. We show that the nontrivial pseudospin…

Superconductivity · Physics 2022-01-14 Yi Tan , Zhi-Hao Huang , Xiong-Jun Liu

We propose a novel realization for a topologically superconducting phase hosting Majorana zero-modes on the basis of quantum spin Hall systems. Remarkably, our proposal is completely free of ferromagnets. Instead, we confine helical edge…

Mesoscale and Nanoscale Physics · Physics 2021-03-17 C. Fleckenstein , N. Traverso Ziani , A. Calzona , M. Sassetti , B. Trauzettel