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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…

超导电性 · 物理学 2019-04-11 Nick Bultinck , B. Andrei Bernevig , Michael P. Zaletel

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

Recent theories and experiments have suggested that strong spin-orbit coupling effects in certain band insulators can give rise to a new phase of quantum matter, the so-called topological insulator, which can show macroscopic entanglement…

介观与纳米尺度物理 · 物理学 2009-08-26 Y. Xia , D. Qian , D. Hsieh , L. Wray , A. Pal , H. Lin , A. Bansil , D. Grauer , Y. S. Hor , R. J. Cava , M. Z. Hasan

We study the superconducting instabilities of a single species of two-dimensional Rashba-Dirac fermions, as it pertains to the surface of a three-dimensional time-reversal symmetric topological band insulators. We also discuss the…

超导电性 · 物理学 2013-05-29 Luiz Santos , Titus Neupert , Claudio Chamon , Christopher Mudry

In crystalline systems with a superstructure, the electron dispersion can form a nontrivial covering of the Brillouin zone. It is proved that the number of sheets in this covering and its monodromy are topological invariants under ambient…

其他凝聚态物理 · 物理学 2026-04-30 Yu. B. Kudasov

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

Single-Dirac-cone topological insulators (TI) are the first experimentally discovered class of three dimensional topologically ordered electronic systems, and feature robust, massless spin-helical conducting surface states that appear at…

We study the topological properties of superconductors with paired $j=\frac{3}{2}$ quasiparticles. Higher spin Fermi surfaces can arise, for instance, in strongly spin-orbit coupled band-inverted semimetals. Examples include the Bi-based…

超导电性 · 物理学 2018-03-07 Jörn W. F. Venderbos , Lucile Savary , Jonathan Ruhman , Patrick A. Lee , Liang Fu

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 propose the metallic and weakly dispersive surface states of half-Heusler semimetals as a possible domain for the onset of unconventional surface superconductivity ahead of the bulk transition. Using density functional theory (DFT)…

超导电性 · 物理学 2022-12-21 Tilman Schwemmer , Domenico Di Sante , Jörg Schmalian , Ronny Thomale

We present a theory of the high-spin generalization of topological insulators and their doped superconducting states. The higher-spin topological insulators involve a pair of $J=3/2$ bands with opposite parity, and are characterized by…

超导电性 · 物理学 2018-11-21 Takuto Kawakami , Tetsuya Okamura , Shingo Kobayashi , Masatoshi Sato

In non-magnetic bulk materials, inversion symmetry protects the spin degeneracy. If the bulk crystal structure lacks a centre of inversion, however, spin-orbit interactions lift the spin degeneracy, leading to a Rashba metal whose Fermi…

Three dimensional topological insulators embody a newly discovered state of matter characterized by conducting spin-momentum locked surface states that span the bulk band gap as demonstrated via spin-resolved ARPES measurements . This…

介观与纳米尺度物理 · 物理学 2012-05-09 L. Andrew Wray , Su-Yang Xu , Yuqi Xia , David Hsieh , Alexei V. Fedorov , Hsin Lin , Arun Bansil , Yew San Hor , Robert J. Cava , M. Zahid Hasan

Two-dimensional topological superconductivity has attracted great interest due to the emergence of Majorana modes bound to vortices and propagating along edges. However, due to its rare appearance in natural compounds, experimental…

介观与纳米尺度物理 · 物理学 2018-07-19 J. L. Lado , M. Sigrist

We discuss the proximate phases of a three-dimensional system with Dirac-like dispersion. Using the cubic lattice with plaquette $\pi$-flux as a model, we find, among others phases, a chiral topological insulator and singlet topological…

材料科学 · 物理学 2010-03-11 Pavan Hosur , Shinsei Ryu , Ashvin Vishwanath

Three dimensional topological insulators are bulk insulators with $\mathbf{Z}_2$ topological electronic order that gives rise to conducting light-like surface states. These surface electrons are exceptionally resistant to localization by…

介观与纳米尺度物理 · 物理学 2017-03-07 Yishuai Xu , Janet Chiu , Lin Miao , Haowei He , Zhanybek Alpichshev , A. Kapitulnik , Rudro R. Biswas , L. Andrew Wray

From a leading-order unbiased renormalization group analysis we here showcase the emergence of superconductivity (including the topological ones) from purely repulsive electron-electron interactions in two-dimensional doped Dirac…

超导电性 · 物理学 2025-06-26 Sk Asrap Murshed , Sanjib Kumar Das , Bitan Roy

The Cu-doped topological insulator Bi$_2$Se$_3$ has recently been found to undergo a superconducting transition upon cooling, raising the possibilities that it is the first known "topological superconductor" or realizes a novel non-Abelian…

超导电性 · 物理学 2009-12-18 L. Wray , S. Xu , J. Xiong , Y. Xia , D. Qian , H. Lin , A. Bansil , Y. Hor , R. J. Cava , M. Z. Hasan

Topological insulators (TIs) are materials with an insulating bulk characterized by a gapped band structure, along with gapless metallic surface states having a Dirac cone with a helical spin structure in momentum space. The helical…

材料科学 · 物理学 2024-09-02 Sumana Paul , Moumita Das , Sujoy Datta , Raja Chakraborty , Prabhat Mandal , P. K. Giri

We consider weak topological insulators with a twofold rotation symmetry around the dark direction, and show that these systems can be endowed with the topological crystalline structure of a higher-order topological insulator protected by…

介观与纳米尺度物理 · 物理学 2020-08-04 Sander H. Kooi , Guido van Miert , Carmine Ortix