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Due to their topological charge, or chirality, the Weyl cones present in topological semimetals are considered robust against arbitrary perturbations. One well-understood exception to this robustness is the pairwise creation or annihilation…

Mesoscale and Nanoscale Physics · Physics 2021-11-19 Viktor Könye , Adrien Bouhon , Ion Cosma Fulga , Robert-Jan Slager , Jeroen van den Brink , Jorge I. Facio

Weyl semimetals typically appear in systems in which either time-reversal (T) or inversion (P}) symmetry are broken. Here we show that in the presence of gauge potentials these topological states of matter can also arise in fermionic…

Quantum Gases · Physics 2016-08-08 L. Lepori , I. C. Fulga , A. Trombettoni , M. Burrello

A Weyl semimetal denotes an electronic phase of solids in which two bands cross linearly. In this paper we study the effect of a spatially correlated disorder on such a phase. Using a renormalization group analysis, we show that in three…

Mesoscale and Nanoscale Physics · Physics 2017-02-06 Thibaud Louvet , David Carpentier , Andrei A. Fedorenko

The nodal and effectively relativistic dispersion featuring in a range of novel materials including two- dimensional graphene and three-dimensional Dirac and Weyl semimetals has attracted enormous interest during the past decade. Here, by…

Strongly Correlated Electrons · Physics 2018-04-11 Johan Carlström , Emil J. Bergholtz

Type II Weyl semimetal, a three dimensional gapless topological phase, has drawn enormous interest recently. These topological semimetals enjoy overtilted dispersion and Weyl nodes that separate the particle and hole pocket. Using…

Strongly Correlated Electrons · Physics 2017-08-02 Weizhu Yi , Qiu-Shi Wang , Rui Wang , Baigeng Wang

We perform a complete classification of two-band $\bk\cdot\mathbf{p}$ theories at band crossing points in 3D semimetals with $n$-fold rotation symmetry and broken time-reversal symmetry. Using this classification, we show the existence of…

Mesoscale and Nanoscale Physics · Physics 2012-11-15 Chen Fang , Matthew J. Gilbert , Xi Dai , B. Andrei Bernevig

Weyl semimetal is a new topological state of matter, characterized by the presence of nondegenerate band-touching nodes, separated in momentum space, in its bandstructure. Here we discuss a particular realization of a Weyl semimetal: a…

Mesoscale and Nanoscale Physics · Physics 2013-05-30 A. A. Zyuzin , Si Wu , A. A. Burkov

We classify the band degeneracies in 3D crystals with screw symmetry $n_m$ and broken $\mathcal P*\mathcal T$ symmetry, where $\mathcal P$ stands for spatial inversion and $\mathcal T$ for time reversal. The generic degeneracies along…

Materials Science · Physics 2017-07-27 Stepan S. Tsirkin , Ivo Souza , David Vanderbilt

We construct a low-energy effective field theory of electrons interacting via short-range interactions in a Weyl semimetal and investigate possible broken-symmetry ground states through an unbiased one-loop renormalization group (RG)…

Strongly Correlated Electrons · Physics 2014-07-21 Joseph Maciejko , Rahul Nandkishore

We study the stability of three-dimensional incompressible Weyl semimetals in the presence of random quenched charge impurities. Combining numerical analysis and scaling theory we show that in the presence of sufficiently weak randomness…

Disordered Systems and Neural Networks · Physics 2016-06-01 Soumya Bera , Jay D. Sau , Bitan Roy

The quasiparticle spectra of interacting Weyl and nodal-line semimetals on a cubic lattice are studied using the cluster perturbation theory. By tracking the spectral functions under interaction, we find that the Weyl points will move to…

Strongly Correlated Electrons · Physics 2019-03-19 Jing Kang , Jianfei Zou , Kai Li , Shun-Li Yu , Lu-Bing Shao

Intuitively, the dispersion characteristics of Weyl nodes with opposite charges in single-pair charge-2 Weyl semimetals are the same, quadratic or linear. We theoretically predicted that single-pair hybrid charge-2 Weyl semimetals (the…

Materials Science · Physics 2023-01-20 P. Zhou , Y. Z. Hu , B. R. Pan , F. F. Huang , W. Q. Li , Z. S. Ma , L. Z. Sun

Weyl semimetals are arguably the most paradigmatic form of a gapless topological phase. While the stability of Weyl nodes, as quantified by their topological charge, has been extensively investigated, recent interest has shifted to the…

Mesoscale and Nanoscale Physics · Physics 2026-01-21 Siyu Chen , Adrien Bouhon , Robert-Jan Slager , Bartomeu Monserrat

We explore the stability of three-dimensional Weyl and Dirac semimetals subject to quasiperiodic potentials. We present numerical evidence that the semimetal is stable for weak quasiperiodic potentials, despite being unstable for weak…

Disordered Systems and Neural Networks · Physics 2020-06-23 J. H. Pixley , Justin H. Wilson , David A. Huse , Sarang Gopalakrishnan

In this work we explore the effects of nonlinearity on three-dimensional topological phases. Of particular interest are the so-called Weyl semimetals, known for their Weyl nodes, i.e., point-like topological charges which always exist in…

Mesoscale and Nanoscale Physics · Physics 2022-11-17 Thomas Tuloup , Raditya Weda Bomantara , Jiangbin Gong

The electronic structure of a cubic $\mathcal{T}$-symmetric Weyl semimetal is analysed in the presence of atomic-sized vacancy defects. Isolated vacancies are shown to generate nodal bound states with $r^{{\scriptscriptstyle -2}}$…

Mesoscale and Nanoscale Physics · Physics 2022-11-04 J. P. Santos Pires , S. M. João , Aires Ferreira , B. Amorim , J. M. Viana Parente Lopes

Heavy fermion semimetals represent a promising setting to explore topological metals driven by strong correlations. In this paper, we i) summarize the theoretical results in a Weyl-Kondo semimetal phase for a strongly correlated model with…

Strongly Correlated Electrons · Physics 2020-04-22 Sarah E. Grefe , Hsin-Hua Lai , Silke Paschen , Qimiao Si

The electron-nuclear hyperfine interaction shows up in a variety of phenomena including e.g. NMR studies of correlated states and spin decoherence effects in quantum dots. Here we focus on the hyperfine coupling and the NMR spin relaxation…

Mesoscale and Nanoscale Physics · Physics 2016-12-28 Zoltán Okvátovity , Ferenc Simon , Balázs Dóra

We discover three-dimensional intertwined Weyl phases, by developing a theory to create topological phases. The theory is based on intertwining existing topological gapped and gapless phases protected by the same crystalline symmetry. The…

Mesoscale and Nanoscale Physics · Physics 2022-02-09 W. B. Rui , Zhen Zheng , Moritz M. Hirschmann , Song-Bo Zhang , Chenjie Wang , Z. D. Wang

Weyl semimetals (WSMs) are characterized by topologically stable pairs of nodal points in the band structure, that typically originate from splitting a degenerate Dirac point by breaking symmetries such as time reversal or inversion…

Strongly Correlated Electrons · Physics 2020-01-29 L. Crippa , A. Amaricci , N. Wagner , G. Sangiovanni , J. C. Budich , M. Capone
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