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In this study, we applied ab initio $T_\mathrm{c}$ calculations to compounds with the ThCr$_2$Si$_2$-type structure to search for BCS superconductor candidates. From the 1883 compounds registered in the Inorganic Crystal Structure Database,…

Superconductivity · Physics 2025-07-11 Tom Ichibha , Ryo Maezono , Kenta Hongo

Topological superconductors have become a subject of intense research due to their potential use for technical applications in device fabrication and quantum information. Besides fully gapped superconductors, unconventional superconductors…

Superconductivity · Physics 2015-05-26 Andreas P. Schnyder , P. M. R. Brydon

Roughly twenty reports (as of 2025) of time-reversal-symmetry breaking (TRSB) states in low critical temperature (T$_c$) superconducting (SC), otherwise conventional Fermi liquid, metals have emerged primarily from muon spin relaxation…

Superconductivity · Physics 2026-02-16 Warren E. Pickett

Second-order topological insulators are crystalline insulators with a gapped bulk and gapped crystalline boundaries, but topologically protected gapless states at the intersection of two boundaries. Without further spatial symmetries, five…

Mesoscale and Nanoscale Physics · Physics 2017-12-20 Josias Langbehn , Yang Peng , Luka Trifunovic , Felix von Oppen , Piet W. Brouwer

Spontaneous symmetry breaking has been a paradigm to describe the phase transitions in condensed matter physics. In addition to the continuous electromagnetic gauge symmetry, an unconventional superconductor can break discrete symmetries…

The bulk-boundary correspondence guarantees topologically protected edge states in a two-dimensional topological superconductor. Unlike in topological insulators, these edge states are, however, not connected to a quantized (spin) current…

Superconductivity · Physics 2025-02-07 Maximilian F. Holst , Manfred Sigrist , Mark H. Fischer

Topological superconductors (TSCs) have a full gap in the bulk and gapless surface states consisting of Majorana fermions, which have potential applications in fault-tolerant topological quantum computation. Because TSCs are very rare in…

Topological superconductors (TSCs) are unconventional superconductors with bulk superconducting gap and in-gap Majorana states on the boundary that may be used as topological qubits for quantum computation. Despite their importance in both…

Topological band insulators (TBIs) are bulk insulating materials which feature topologically protected metallic states on their boundary. The existing classification departs from time-reversal symmetry, but the role of the crystal lattice…

Mesoscale and Nanoscale Physics · Physics 2013-02-15 Robert-Jan Slager , Andrej Mesaros , Vladimir Juricic , Jan Zaanen

A spin-U(1)-symmetry protected momentum-dependent integer-$Z$-valued topological invariant is proposed to time-reversal-invariant (TRI) superconductivity (SC) whose nonzero value will lead to exactly flat surface band(s). The theory is…

Superconductivity · Physics 2020-07-20 Cheng-Cheng Liu , Chen Lu , Li-Da Zhang , Xianxin Wu , Chen Fang , Fan Yang

We report the synthesis and electronic properties of polycrystalline samples of Zr6MBi2 (M = Ru and Fe) crystallizing in the hexagonal Zr6CoAl2-type structure. Based on their electrical resistivity, magnetization, and heat capacity data,…

Intrinsic topological superconductors have protected gapless Majorana modes, bound and/or propagating, at the natural boundaries of the sample, without requiring field, defect, or heterostructure. We establish the complete…

Mesoscale and Nanoscale Physics · Physics 2022-09-23 Zhongyi Zhang , Jie Ren , Yang Qi , Chen Fang

Time-reversal symmetry breaking (TRSB) superconductors show a rich collective mode spectrum. In general, collective excitations in superconductors can provide crucial information on the symmetry of the broken phase, in particular, serving…

Superconductivity · Physics 2025-09-03 Silvia Neri , Walter Metzner , Dirk Manske

We complete a classification of topological phases and their topological defects in crystalline insulators and superconductors. We consider topological phases and defects described by non-interacting Bloch and Bogoliubov de Gennes…

Mesoscale and Nanoscale Physics · Physics 2014-10-15 Ken Shiozaki , Masatoshi Sato

We have performed angle-resolved photoemission spectroscopy (ARPES) on Cux(PbSe)5(Bi2Se3)6 (CPSBS; x = 1.47), a superconductor derived from a topological insulator heterostructure, to elucidate the electronic states relevant to the…

Mesoscale and Nanoscale Physics · Physics 2015-10-28 K. Nakayama , H. Kimizuka , Y. Tanaka , T. Sato , S. Souma , T. Takahashi , Satoshi Sasaki , Kouji Segawa , Yoichi Ando

While the possibility of topological superconductivity (TSC) in hybrid heterostructures involving topologically nontrivial band structure and superconductors has been proposed, the realization of TSC in a single stoichiometric material is…

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…

Superconductivity · Physics 2017-05-09 Mark H. Fischer , Jun Goryo

In this work we predict several new types of topological semimetals that exhibit a bulk quadrupole moment. These semimetals are modeled with a 3D extension of the 2D quadrupole topological insulator. One type of semimetal has bulk nodes and…

Mesoscale and Nanoscale Physics · Physics 2018-12-12 Mao Lin , Taylor L. Hughes

Spin-orbit coupled materials have attracted revived prominent research interest as of late, especially due their direct connection with topological notions. Arguably, a hallmark of this pursuit is formed by the concept of the topological…

Mesoscale and Nanoscale Physics · Physics 2019-07-29 Robert-Jan Slager

The combination with superconductivity and topological nontrivial band structure provides a promising route towards novel quantum states such as topological superconductivity. Here, we report the first observation of superconductivity (4.1…

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