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We investigate higher-order Weyl semimetals (HOWSMs) having bulk Weyl nodes attached to both surface and hinge Fermi arcs. We identify a new type of Weyl node, that we dub a $2nd$ order Weyl node, that can be identified as a transition in…

Mesoscale and Nanoscale Physics · Physics 2021-01-04 Sayed Ali Akbar Ghorashi , Tianhe Li , Taylor L. Hughes

With electron and hole pockets touching at the Weyl node, type-II Weyl semimetal is a newly proposed topological state distinct from its type-I cousin. We numerically study the localization effect for tilted type-I as well as type-II Weyl…

Mesoscale and Nanoscale Physics · Physics 2023-06-09 Yijia Wu , Haiwen Liu , Hua Jiang , X. C. Xie

The Weyl semimetal (WSM) is a newly proposed quantum state of matter. It has Weyl nodes in bulk excitations and Fermi arcs surface states. We study the effects of disorder and localization in WSMs and find three exotic phase transitions.…

Mesoscale and Nanoscale Physics · Physics 2015-12-16 Chui-Zhen Chen , Juntao Song , Hua Jiang , Qing-feng Sun , Ziqiang Wang , X. C. Xie

The double Weyl semimetal (DWSM) is a newly proposed topological material that hosts Weyl points with chiral charge n=2. The disorder effect in DWSM is investigated by adopting the tight-binding Hamiltonian. Using the transfer matrix method…

Mesoscale and Nanoscale Physics · Physics 2022-11-23 Jiayan Zhang , Fei Wan , Xinru Wang , Ying Ding , Liehong Liao , Zhihui Chen , M. N. Chen , Yuan Li

A Weyl semimetal (WSM) is a topological material that hosts Weyl fermions as quasiparticles in the bulk. We study the combined effect of intra- and interorbital disorders on WSMs by adopting a tight-binding model that supports the WSM,…

Mesoscale and Nanoscale Physics · Physics 2018-06-08 Rui Chen , Chui-Zhen Chen , Jin-Hua Sun , Bin Zhou , Dong-Hui Xu

Weyl semimetals are gapless quasi-topological materials with a set of isolated nodal points forming their Fermi surface. They manifest their quasi-topological character in a series of topological electromagnetic responses including the…

Mesoscale and Nanoscale Physics · Physics 2016-02-05 Hassan Shapourian , Taylor L. Hughes

Quantum phase transitions of three-dimensional (3D) Weyl semimetals (WSMs) subject to uncorrelated on-site disorder are investigated through quantum conductance calculations and finite-size scaling of localization length. Contrary to…

Disordered Systems and Neural Networks · Physics 2017-06-27 Ying Su , X. S. Wang , X. R. Wang

The effect of short-range disorder in nodal line semimetals is studied by numerically exact means. For arbitrary small disorder, a novel semimetallic phase is unveiled for which the momentum-space amplitude of the ground-state wave function…

Disordered Systems and Neural Networks · Physics 2020-04-08 Miguel Gonçalves , Pedro Ribeiro , Eduardo V. Castro , Miguel A. N. Araújo

Higher-order nodal line semimetals represent a recently proposed topological semimetal class that harbors bulk nodal lines and features gapless hinge Fermi arc excitations, governed by the bulk-hinge correspondence. In this study, we…

Disordered Systems and Neural Networks · Physics 2024-01-25 Yue-Ran Ding , Dong-Hui Xu , Chui-Zhen Chen

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

It is commonly believed that a non-interacting disordered electronic system can undergo only the Anderson metal-insulator transition. It has been suggested, however, that a broad class of systems can display disorder-driven transitions…

Mesoscale and Nanoscale Physics · Physics 2018-03-23 S. V. Syzranov , L. Radzihovsky

We demonstrate that a disordered magnetic Weyl semimetal may be mapped onto a two-dimensional array of coupled replicated Hubbard chains, where the Hubbard $U$ is directly related to the variance of the disorder potential. This is a…

Mesoscale and Nanoscale Physics · Physics 2025-04-11 Jinmin Yi , A. A. Burkov

Pursuing complementary field-theoretic and numerical methods, we here paint the global phase diagram of a three-dimensional dirty Weyl system. The generalized Harris criterion, augmented by a perturbative renormalization-group (RG) analysis…

Mesoscale and Nanoscale Physics · Physics 2018-09-21 Bitan Roy , Robert-Jan Slager , Vladimir Juricic

For several decades, it was widely believed that a non-interacting disordered electronic system could only undergo an Anderson metal-insulator transition due to Anderson localization. However, numerous recent theoretical works have…

Taking into account the interplay between the disorder and Coulomb interaction, the phase diagram of three-dimensional anisotropic Weyl semimetal is studied by renormalization group theory. Weak disorder is irrelevant in anisotropic Weyl…

Disordered Systems and Neural Networks · Physics 2021-02-19 Jing-Rong Wang , Wei Li , Gang Wang , Chang-Jin Zhang

Gapless Weyl semimetals (WSMs) are a novel class of topological materials that host massless Weyl fermions as their low-energy excitations. When the Weyl cone is tilted, the Lorentz invariance is broken and the Lifshitz transition drives…

Mesoscale and Nanoscale Physics · Physics 2020-02-18 Yi-Xiang Wang , Fuxiang Li

We find a series of topological phase transitions in a half-metal/superconductor heterostructure, by tuning the direction of the magnetization of the half-metal film. These include transitions between a topological superconducting phase…

Superconductivity · Physics 2016-10-18 Lei Hao , C. S. Ting

In recent years, there has been a surge of interest in exploring higher-order topology and their semi-metallic counterparts, particularly in the context of Dirac, Weyl, and nodal line semimetals, termed as higher-order Dirac semimetal…

Mesoscale and Nanoscale Physics · Physics 2025-05-29 Amartya Pal , Arnob Kumar Ghosh

We study Weyl semimetals in the presence of generic disorder, consisting of a random vector potential as well as a random scalar potential. We derive renormalization group flow equations to second order in the disorder strength. These flow…

Mesoscale and Nanoscale Physics · Physics 2016-12-14 Björn Sbierski , Kevin S. C. Decker , Piet W. Brouwer

Isolated Weyl cones in a disordered environment do not show the phenomenon of Anderson localization due to the abscence of backscattering processes. However, besides the conventional three dimensional diffusive metal, an additional…

Mesoscale and Nanoscale Physics · Physics 2017-10-25 Tycho S. Sikkenk , Lars Fritz
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