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We report intimate relations between topological properties of full gapped spin-triplet superconductors with time-reversal invariance and the Fermi surface topology in the normal states. An efficient method to calculate the Z2 invariants…

超导电性 · 物理学 2009-06-26 Masatoshi Sato

We show that time-reversal invariant superconductors in d=2 (d=3) dimensions can support topologically stable Fermi points (lines), characterized by an integer topological charge. Combining this with the momentum space symmetries present,…

超导电性 · 物理学 2010-04-22 B. Béri

We propose a class of topological superconductivity in which the pairing order is $\mathbb{Z}_2$ topologically obstructed in a three-dimensional time-reversal invariant system. When two Fermi surfaces are related by time-reversal and mirror…

超导电性 · 物理学 2020-11-17 Canon Sun , Yi Li

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

Chiral topological semimetals host multifold degenerate band crossing points under the protection of crystalline symmetries. In this paper, we suggest that the recently discovered chiral topological semimetals in space group 198, parts of…

介观与纳米尺度物理 · 物理学 2021-05-05 Yingyi Huang , Shao-Kai Jian

In this letter, we investigate topological phases of full-gapped odd-parity superconductors, which are distinguished by the bulk topological invariants and the topologically protected gapless boundary states. Using the particle-hole…

超导电性 · 物理学 2010-10-20 Masatoshi Sato

In an ordinary three-dimensional metal the Fermi surface forms a two-dimensional closed sheet separating the filled from the empty states. Topological semimetals, on the other hand, can exhibit protected one-dimensional Fermi lines or…

介观与纳米尺度物理 · 物理学 2016-05-24 Y. -H. Chan , Ching-Kai Chiu , M. Y. Chou , Andreas P. Schnyder

The topological property of a gapped odd-parity superconductor is jointly determined by its pairing nodes and Fermi surfaces in normal state. We reveal that the contractibility of Fermi surfaces without crossing any time-reversal invariant…

超导电性 · 物理学 2019-10-30 Zhongbo Yan

We present a comprehensive theory for Bogoliubov Fermi surfaces in inversion-symmetric superconductors which break time-reversal symmetry. A requirement for such a gap structure is that the electrons posses internal degrees of freedom apart…

超导电性 · 物理学 2018-12-19 P. M. R. Brydon , D. F. Agterberg , Henri Menke , C. Timm

The recent discovery of heavy-fermion superconductor UTe$_2$ has broadened the possibility of realizing exotic time-reversal-symmetry-breaking superconductivity. However, a comprehensive understanding of the topological phases in the…

超导电性 · 物理学 2025-11-11 Yuki Yamazaki , Shingo Kobayashi

It is commonly believed that in the absence of disorder or an external magnetic field, there are three possible types of superconducting excitation gaps: the gap is nodeless, it has point nodes, or it has line nodes. Here, we show that for…

超导电性 · 物理学 2017-03-28 D. F. Agterberg , P. M. R. Brydon , C. Timm

Three dimensional topological superconductors (TScs) protected by time reversal (T) symmetry are characterized by gapless Majorana cones on their surface. Free fermion phases with this symmetry (class DIII) are indexed by an integer n, of…

强关联电子 · 物理学 2013-12-03 Lukasz Fidkowski , Xie Chen , Ashvin Vishwanath

We define and compute many-body topological invariants of interacting fermionic symmetry-protected topological phases, protected by an orientation-reversing symmetry, such as time-reversal or reflection symmetry. The topological invariants…

强关联电子 · 物理学 2017-05-31 Hassan Shapourian , Ken Shiozaki , Shinsei Ryu

We study the electronic surface states of the semiconducting alloy BiSb. Using a phenomenological tight binding model we show that the Fermi surface of the 111 surface states encloses an odd number of time reversal invariant momenta (TRIM)…

介观与纳米尺度物理 · 物理学 2009-11-13 Jeffrey C. Y. Teo , Liang Fu , C. L. Kane

We study three-dimensional time-reversal-invariant topological superconductivity in noncentrosymmetric materials such as RhSi, CoSi, and AlPt which host coupled multifold nodes energetically split by the spin-orbit coupling at the same…

超导电性 · 物理学 2022-01-11 Changhee Lee , Chiho Yoon , Taehyeok Kim , Suk Bum Chung , Hongki Min

For three-dimensional non-interacting multi-band metals, we show that important information about the shape and the quantum geometry of Fermi surfaces is encoded in the subleading logarithmic term of bipartite charge fluctuations. This…

介观与纳米尺度物理 · 物理学 2026-05-15 Pok Man Tam , Yarden Sheffer , Xiao-Chuan Wu , F. D. M. Haldane , Shinsei Ryu

We demonstrate the existence of topological superconductors (SC) protected by mirror and time reversal (TR) symmetries. D-dimensional (D=1,2,3) crystalline SCs are characterized by 2^(D-1) independent integer topological invariants, which…

超导电性 · 物理学 2013-08-06 Fan Zhang , C. L. Kane , E. J. Mele

The topological invariant responsible for the stability of Fermi point/Fermi surface in homogeneous systems is expressed through the one particle Green function, which depends on momentum. It is given by an integral over the 3D hypersurface…

介观与纳米尺度物理 · 物理学 2025-10-07 M. A. Zubkov

High resolution angle-resolved photoemission measurements have been carried out to study the electronic structure and superconducting gap of the (Tl$_{0.58}$Rb$_{0.42}$)Fe$_{1.72}$Se$_2$ superconductor with a T$_c$=32 K. The Fermi surface…

Time-reversal invariant topological superconductors are a new state of matter which have a bulk superconducting gap and robust Majorana fermion surface states. These have not yet been realized in solid state systems. In this paper, we…

强关联电子 · 物理学 2014-07-30 Pavan Hosur , Xi Dai , Zhong Fang , Xiao-Liang Qi
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