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Theoretical prediction of topological superconductivity is key to their discovery. Recently, it is proved that in 199 out of 230 space groups, topological superconductivity coexists with an $s$-wave-like pairing symmetry, raising the hope…

超导电性 · 物理学 2025-07-11 Zhongyi Zhang , Ken Shiozaki , Chen Fang , Seishiro Ono

Crystalline symmetries play an important role in the classification of band structures, and the rich variety of spatial symmetries in solids leads to various topological crystalline phases (TCPs). However, compared with topological…

介观与纳米尺度物理 · 物理学 2019-03-12 Feng Tang , Hoi Chun Po , Ashvin Vishwanath , Xiangang Wan

Topology is a central notion in the classification of band insulators and characterization of entangled many-body quantum states. In some cases, it manifests as quantized observables such as quantum Hall conductance. However, being…

强关联电子 · 物理学 2022-08-26 Sangjin Lee , Kyung-Hwan Jin , Byungmin Kang , B. J. Kim , Gil Young Cho

Topology, like symmetry, is a fundamental concept in understanding general properties of physical systems. In condensed matter, nontrivial topology may manifest itself as singular features in the energy spectrum or the quantization of…

介观与纳米尺度物理 · 物理学 2024-11-26 L. Peyruchat , R. H. Rodriguez , J. -L. Smirr , R. Leone , Ç. Ö. Girit

In the past few years materials with protected gapless surface (edge) states have risen to the central stage of condensed matter physics. Almost all discussions centered around topological insulators and superconductors, which possess full…

超导电性 · 物理学 2013-10-01 Fa Wang , Dung-Hai Lee

The rich variety of crystalline symmetries in solids leads to a plethora of topological crystalline insulators (TCIs) featuring distinct physical properties, which are conventionally understood in terms of bulk invariants specialized to the…

强关联电子 · 物理学 2018-09-19 Eslam Khalaf , Hoi Chun Po , Ashvin Vishwanath , Haruki Watanabe

Tunneling conductance spectra of normal metal/insulator/superconductor (N/I/S) junctions are calculated to determine the potential of tunneling spectroscopy in investigations of topological superconductivity. Peculiar feature of topological…

Theories of symmetry-based indicators and topological quantum chemistry, while powerful in diagnosing gapped topological materials, cannot be directly applied to diagnosing band degeneracies at high-symmetry momenta due to the violation of…

材料科学 · 物理学 2020-07-01 Tiantian Zhang , Ling Lu , Shuichi Murakami , Zhong Fang , Hongming Weng , Chen Fang

Band structures of topological insulators are characterized by non-local topological invariants. Consequently, proposals for the experimental detection using local probes are rare. A recent paper [Slager et al., Phys. Rev. B 92, 085126…

介观与纳米尺度物理 · 物理学 2020-07-07 Seydou-Samba Diop , Lars Fritz , Matthias Vojta , Stephan Rachel

Although topological band theory has been used to discover and classify a wide array of novel topological phases in insulating and semi-metal systems, it is not well-suited to identifying topological phenomena in metallic or gapless…

介观与纳米尺度物理 · 物理学 2022-09-13 Alexander Cerjan , Terry A. Loring

Superconductivity is realized by opening a gap in the superconducting state. The gap symmetry is crucial in understanding the underlying superconductivity mechanism. The magnitude and the phase are essential in fully characterizing the…

Recent years have seen multiple high-throughput studies reveal an immense number of topological materials through use of symmetry indicators. Despite this success, three-dimensional topological insulators (TI) admitting a band-gap larger…

材料科学 · 物理学 2023-04-13 Alexander C. Tyner , Pallab Goswami

A theoretical model for tunneling spectroscopy employing tight-binding band structure, d-wave gap symmetry, group velocity, and tunneling directionality can exhibit a wide range of characteristics similar to the ones found in tunneling…

超导电性 · 物理学 2008-02-03 Z. Yusof , J. F. Zasadzinski , L. Coffey

Topological insulators are typically characterized by particularly stable properties, such as global invariants, and can be identified by probing their robust surface states. A recently discovered novel form of band topology, delicate…

Crystalline topological phases have recently attracted a lot of experimental and theoretical attention. Key advances include the complete elementary band representation analyses of crystalline matter by symmetry indicators and the discovery…

介观与纳米尺度物理 · 物理学 2019-02-13 Eyal Cornfeld , Adam Chapman

Topological crystalline superconductors are known to have possible higher-order topology, which results in Majorana modes on $d-2$ or lower-dimensional boundaries. Given the rich possibilities of boundary signatures, it is desirable to have…

超导电性 · 物理学 2022-04-08 Yanzhu Chen , Sheng-Jie Huang , Yi-Ting Hsu , Tzu-Chieh Wei

The hexagonal superconductor SrPtAs exhibits time-reversal-symmetry breaking below $T_c$, hinting at an unconventional pairing state. Therefore, the symmetry of the underlying crystal is important for the classification of possible gap…

超导电性 · 物理学 2017-05-09 Mark H. Fischer , Jun Goryo

We develop a symmetry indicator framework to efficiently predict the topology of superlattice-induced minibands with spin-orbit coupling. Our algorithm requires input only from the parent material before the superlattice is applied. The…

介观与纳米尺度物理 · 物理学 2026-04-10 M. Nabil Y. Lhachemi , Valentin Crépel , Jennifer Cano

In this article, we provide a pedagogical review of the theory of topological quantum chemistry and topological crystalline insulators. We begin with an overview of the properties of crystal symmetry groups in position and momentum space.…

介观与纳米尺度物理 · 物理学 2021-02-15 Jennifer Cano , Barry Bradlyn

Signatures of nodal line/point superconductivity have been observed in half-Heusler compounds, such as LnPtBi (Ln = Y, Lu). Topologically non-trivial band structures, as well as topological surface states, has also been confirmed by…

超导电性 · 物理学 2018-06-13 Qing-Ze Wang , Jiabin Yu , Chao-Xing Liu