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We studied effects of disorder in a three dimensional layered Chern insulator. By calculating the localization length and density of states numerically, we found two distict types of metallic phases between Anderson insulator and Chern…

Disordered Systems and Neural Networks · Physics 2016-02-12 Shang Liu , Tomi Ohtsuki , Ryuichi Shindou

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

In electronic band structure of solid state material, two band touching points with linear dispersion appear in pair in the momentum space. When they annihilate with each other, the system undergoes a quantum phase transition from…

Disordered Systems and Neural Networks · Physics 2018-01-24 Xunlong Luo , Baolong Xu , Tomi Ohtsuki , Ryuichi Shindou

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

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

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

We study the disorder-induced phase transition of higher-order Weyl semimetals (HOWSMs) and the fate of the topological features of disordered HOWSMs. We obtain a global phase diagram of HOWSMs according to the scaling theory of Anderson…

Disordered Systems and Neural Networks · Physics 2021-07-14 Zhi-Qiang Zhang , Bing-Lan Wu , Chui-Zhen Chen , Hua Jiang

A Weyl semimetal is a three dimensional topological gapless phase. In the presence of strong enough disorder it undergoes a quantum transition towards a diffusive metal phase whose universality class depends on the range of disorder…

Disordered Systems and Neural Networks · Physics 2019-10-18 Eric Brillaux , David Carpentier , Andrei A. Fedorenko

Three-dimensional Dirac and Weyl semimetals exhibit a disorder-induced quantum phase transition between a semimetallic phase at weak disorder and a diffusive-metallic phase at strong disorder. Despite considerable effort, both numerically…

Mesoscale and Nanoscale Physics · Physics 2015-09-30 Björn Sbierski , Emil J. Bergholtz , Piet W. Brouwer

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 quench dynamics in type-I inversion symmetric Weyl semimetals (WSM) are explored in this work which, due to the form of the Hamiltonian, may be readily extended to two-dimensional Chern insulators. We analyze the role of equilibrium…

Statistical Mechanics · Physics 2020-07-22 Aritra Lahiri , Soumya Bera

We study a holographic model which exhibits a quantum phase transition from the strongly interacting Weyl semimetal phase to an insulating phase. In the holographic insulating phase there is a hard gap in the real part of frequency…

High Energy Physics - Theory · Physics 2019-01-30 Yan Liu , Junkun Zhao

Finding fingerprints of disordered Weyl semimetals (WSMs) is an unsolved task. Here we report such findings in the level statistics and the fractal nature of electron wavefunction around Weyl nodes of disordered WSMs. The nearest-neighbor…

Mesoscale and Nanoscale Physics · Physics 2019-06-05 C. Wang , Peng Yan , X. R. Wang

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

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

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

The subtle interplay of band topology and symmetry broken phase, induced by electron correlations, has immense contemporary relevance and potentially offers novel physical insights. Here, we demonstrate charge density wave (CDW) in bulk…

Mesoscale and Nanoscale Physics · Physics 2022-12-13 Abhishek Juyal , Vinod Kumar Dwivedi , Sonu Verma , Shibabrata Nandi , Amit Agarwal , Soumik Mukhopadhyay

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

We investigate the low-energy scaling behavior of an interacting 3D Weyl semimetal in the presence of disorder. In order to achieve a renormalization group analysis of the theory, we focus on the effects of a short-ranged-correlated…

Mesoscale and Nanoscale Physics · Physics 2017-08-16 J. Gonzalez
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