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In a topological insulator, it is the electrons on the surface or edge that carry the signature of topology. Recently, a novel topological state has been proposed in metals or semimetals (gapless) whose band-structure is similar to that of…

Exotic electronic states are realized in novel quantum materials. This field is revolutionized by the topological classification of materials. Such compounds necessarily host unique states on their boundaries. Scanning tunneling microscopy…

Mesoscale and Nanoscale Physics · Physics 2021-09-01 Nurit Avraham , Jonathan Reiner , Abhay Kumar-Nayak , Noam Morali , Rajib Batabyal , Binghai Yan , Haim Beidenkopf

We study two models for spinless fermions featuring topologically non-trivial bands characterized by Chern numbers $C=\pm1$ at fractional filling. Using exact diagonalization, we show that, even for infinitely strong nearest-neighbor…

Strongly Correlated Electrons · Physics 2014-04-02 Stefanos Kourtis , Titus Neupert , Claudio Chamon , Christopher Mudry

One of the main features of Weyl semimetals is the existence of Fermi arc surface states at their surface, which cannot be realized in pure two-dimensional systems in the absence of many-body interactions. Due to the gapless bulk of the…

Mesoscale and Nanoscale Physics · Physics 2020-03-18 Guangze Chen , Oded Zilberberg , Wei Chen

Topological semimetals with different types of band crossings provide a rich platform to realize novel fermionic excitations, known as topological fermions. In particular, some fermionic excitations can be direct analogues of elementary…

Weyl semimetal is a new quantum state of matter [1-12] hosting the condensed matter physics counterpart of relativisticWeyl fermion [13] originally introduced in high energy physics. The Weyl semimetal realized in the TaAs class features…

CoSi single crystal is a known realization of a chiral topological semimetal with simultaneously broken mirror and inversion symmetries. In addition to the symmetry-induced spin-orbit coupling, surface ferromagnetism is known in nominally…

Mesoscale and Nanoscale Physics · Physics 2022-12-16 V. D. Esin , A. V. Timonina , N. N. Kolesnikov , E. V. Deviatov

Topological nodal-line semimetals are characterized by the line-contact bulk band crossings and the topological surface states. Breaking certain protecting symmetry turns this system into a Dirac semimetal or Weyl semimetal that hosts…

Recently, the topological classification of electronic states has been extended to a new class of matter known as topological crystalline insulators. Similar to topological insulators, topological crystalline insulators also have…

Mesoscale and Nanoscale Physics · Physics 2014-07-04 Duming Zhang , Hongwoo Baek , Jeonghoon Ha , Tong Zhang , Jonathan E. Wyrick , Albert V. Davydov , Young Kuk , Joseph A. Stroscio

Semi-Dirac fermions are massless in one direction and massive in the perpendicular directions. Such quasiparticles have been proposed in various contexts in condensed matter. Using first principles calculations, we identify a pair of…

Materials Science · Physics 2025-11-13 Alaska Subedi , Kamran Behnia

Numerous efforts have been devoted to reveal exotic semimetallic phases with topologically non-trivial bulk and/or surface states in materials with strong spin-orbit coupling. In particular, semimetals with nodal line Fermi surface (FS)…

Strongly Correlated Electrons · Physics 2016-04-22 Yige Chen , Heung-Sik Kim , Hae-Young Kee

Very recently, the half-metallic compound Co$_3$Sn$_2$S$_2$ was predicted to be a magnetic WSM with Weyl points only 60 meV above the Fermi level ($E_F$). Owing to the low charge carrier density and large Berry curvature…

Materials Science · Physics 2021-12-24 Qiunan Xu , Enke Liu , Wujun Shi , Lukas Muechler , Jacob Gayles , Claudia Felser , Yan Sun

Unusual electronic property of a Weyl semi-metallic nanowire is revealed. Its band dispersion exhibits multiple subbands of partially flat dispersion, originating from the Fermi arc states. Remarkably, the lowest energy flat subbands bear a…

Mesoscale and Nanoscale Physics · Physics 2015-03-19 Ken-Ichiro Imura , Yositake Takane

Layered cobaltates embody novel realizations of correlated quantum matter on a spin-1/2 triangular lattice. We report a high-resolution systematic photoemission study of the insulating cobaltates (Na1/2CoO2 and K1/2CoO2). Observation of…

Strongly Correlated Electrons · Physics 2009-11-11 D. Qian , L. Wray , D. Hsieh , D. Wu , L. J. Luo , N. L. Wang , A. Fedorov , R. J. Cava , L. Viciu , M. Z. Hasan

The hallmark of Weyl semimetals is the existence of open constant-energy contours on their surface -- the so-called Fermi arcs -- connecting Weyl points. Here, we show that for time-reversal symmetric realizations of Weyl semimetals these…

Mesoscale and Nanoscale Physics · Physics 2017-08-21 Alexander Lau , Klaus Koepernik , Jeroen van den Brink , Carmine Ortix

Novel topological phases of matter are fruitful platforms for the discovery of unconventional electromagnetic phenomena. Higher-fold topology is one example, where the low-energy description goes beyond Standard Model analogs. Despite…

A signature property of Weyl semimetals is the existence of topologically protected surface states - arcs in momentum space that connect Weyl points in the bulk. However, the presence of bulks states makes detection of surface contributions…

In this paper, we investigate the quasiparticle scattering interference(QPI) in the nematic phase of iron pnictides, based on the magnetic and orbital scenarios of nematicity, respectively. In the spin density wave(SDW) state, the QPI…

Strongly Correlated Electrons · Physics 2016-12-13 Hai-Yang Zhang , Jian-Xin Li

We review the differential topology underlying the topological protection of energy band crossings in Weyl semimetals, and how they lead to the experimental signature of surface Fermi arcs.

Mathematical Physics · Physics 2024-12-24 Guo Chuan Thiang