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Topological media are gapped or gapless fermionic systems, whose properties are protected by topology, and thus are robust to deformations of parameters of the system and generic. We discuss the class of gapless topological media, which…

超导电性 · 物理学 2015-09-30 G. E. Volovik

Topological semimetals are three dimensional materials with symmetry-protected massless bulk excitations. As a special case, Weyl nodal-line semimetals are realized in materials either having no inversion or broken time-reversal symmetry…

Conventional topological superconductors are fully gapped in the bulk but host gapless Majorana modes on their boundaries. We instead focus on a new class of superconductors, second-order topological superconductors, that have gapped,…

超导电性 · 物理学 2018-11-09 Yuxuan Wang , Mao Lin , Taylor L. Hughes

In contrast to conventional Weyl semimetals in achiral crystals, chiral topological semimetals in chiral crystals exhibit Weyl nodes at time-reversal-invariant momenta. A Fermi surface spin texture with parallel spin-momentum locking in…

超导电性 · 物理学 2025-08-12 Yingyi Huang

We propose a way to generate a one-dimensional topological superconductor from a monolayer of a transition metal dichalcogenide coupled to a Bernal-stacked bilayer of graphene under a displacement field. With proper gating, this structure…

介观与纳米尺度物理 · 物理学 2025-10-03 Daniel Skliannyi , Yuval Oreg , Ady Stern

A simple interlayer pair tunneling is solved exactly. We find that in the normal state spin-1/2 particle and hole excitations are gapped. But the state is an unusual metal, characterized by novel fermionic spin zero and charge +2e and -2e…

凝聚态物理 · 物理学 2007-05-23 Sanjoy K. Sarker , Philip W. Anderson

Superconductors with an odd number of bands crossing the Fermi energy have topologically protected Andreev states at interfaces, including Majorana states in one dimensional geometries. Superconductivity, a low number of 1D channels, large…

介观与纳米尺度物理 · 物理学 2012-12-11 J. G. Rodrigo , V. Crespo , H. Suderow , S. Vieira , F. Guinea

Topological nodal superconductors possess gapless low energy excitations that are characterized by point or line nodal Fermi surfaces. In this work, using a coupled wire construction, we study topological nodal superconductors that have…

强关联电子 · 物理学 2018-11-28 Moon Jip Park , Syed Raza , Matthew J. Gilbert , Jeffrey C. Y. Teo

The theory of topological insulators and superconductors has mostly focused on non-interacting and gapped systems. This review article discusses topological phases that are either gapless or interacting. We discuss recent progress in…

强关联电子 · 物理学 2013-01-04 Ari M. Turner , Ashvin Vishwanath

The formation of bound states at surfaces of materials with an energy gap in the bulk electron spectrum is a well known physical phenomenon. At superconductor surfaces, quasiparticles with energies inside the superconducting gap $\Delta$…

超导电性 · 物理学 2009-11-07 T. Lofwander , V. S. Shumeiko , G. Wendin

Recent angle-resolved photoemission experiments have observed a proximity-induced superconducting gap in the helical surface states of a thin film of the 3D topological insulator Bi$_2$Se$_3$ grown on a superconducting NbSe$_2$ substrate.…

超导电性 · 物理学 2016-12-21 Isil Ozfidan , Jinsen Han , Joseph Maciejko

The key feature of Weyl semimetals (WSM) is the presence of topologically protected Dirac cones in a 3D material. We consider the effect of restricting geometry on the spectrum of excitations in WSM using as a model a cylindrical WSM wire.…

介观与纳米尺度物理 · 物理学 2018-01-23 Mikhail Erementchouk , Pinaki Mazumder

Among the different platforms to engineer Majorana fermions in one-dimensional topological superconductors, topological insulator nanowires remain a promising option. Threading an odd number of flux quanta through these wires induces an odd…

介观与纳米尺度物理 · 物理学 2019-05-22 Fernando de Juan , Jens H. Bardarson , Roni Ilan

The extension of the topological classification of band insulators to topological semimetals gave way to the topology classes of Dirac, Weyl, and nodal line semimetals with their unique Fermi arc and drum head boundary modes. Similarly,…

We consider a one-dimensional, time-reversal-invariant system with attractive interactions and spin-orbit coupling. Such a system is gapless due to the strong quantum fluctuations of the superconducting order parameter. However, we show…

介观与纳米尺度物理 · 物理学 2015-06-18 Anna Keselman , Erez Berg

We present a study of "nodal semimetal" phases, in which non-degenerate conduction and valence bands touch at points (the "Weyl semimetal") or lines (the "line node semimetal") in three-dimensional momentum space. We discuss a general…

介观与纳米尺度物理 · 物理学 2013-05-29 A. A. Burkov , M. D. Hook , Leon Balents

A three-dimensional strong-topological-insulator or -semimetal hosts topological surface states which are often said to be gapless so long as time-reversal symmetry is preserved. This narrative can be mistaken when surface state…

强关联电子 · 物理学 2015-06-29 A. P. Weber , Q. D. Gibson , Huiwen Ji , A. N. Caruso , A. V. Fedorov , R. J. Cava , T. Valla

Gapless superconductivity can arise when pairing occurs between fermion species with different Fermi surface sizes, provided there is a sufficiently large mismatch between Fermi surfaces and/or at sufficiently large coupling constant. In…

超导电性 · 物理学 2017-08-23 E. Gubankova

We show that the quasi-continuous gapless spectrum of Andreev bound states in multi-terminal semi-classical superconducting nanostructures exhibits a big number of topological singularities. We concentrate on Weyl points in a 4-terminal…

介观与纳米尺度物理 · 物理学 2021-12-30 Hristo Barakov , Yuli V. Nazarov

Topological Dirac and Weyl semimetals not only host quasiparticles analogous to the elementary fermionic particles in high-energy physics, but also have nontrivial band topology manifested by exotic Fermi arcs on the surface. Recent…