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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

We propose and investigate numerically a one-dimensional model which exhibits a non-Anderson disorder-driven transition. Such transitions have recently been attracting a great deal of attention in the context of Weyl semimetals,…

Mesoscale and Nanoscale Physics · Physics 2020-06-11 Björn Sbierski , Sergey Syzranov

We study the effects of quenched disorder on electrons in a 3D nodal-line semimetal. Disorder leads to significant renormalisations of the quasiparticle properties due to ultraviolet processes, i.e., processes of scattering in a large band…

Mesoscale and Nanoscale Physics · Physics 2023-10-31 Siyu Zhu , Sergey Syzranov

Internodal dynamics of quasiparticles in Weyl semimetals manifest themselves in hydrodynamic, transport and thermodynamic phenomena and are essential for potential valleytronic applications of these systems. In an external magnetic field,…

Mesoscale and Nanoscale Physics · Physics 2020-05-19 G. Bednik , K. S. Tikhonov , S. V. Syzranov

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

We study the effect of random potential created by different types of impurities on the transverse magnetoresistance of Weyl semimetals. It is shown that the magnetic field and temperature dependence of magnetoresistance is strongly…

Mesoscale and Nanoscale Physics · Physics 2020-11-18 Ya. I. Rodionov , K. I. Kugel , B. A. Aronzon , Franco Nori

Under certain symmetries, degenerate points in three-dimensional metals form one-dimensional nodal lines. These nodal lines sometimes exhibit intricate knotted structures and have been studied in various contexts. As one of the most common…

Mesoscale and Nanoscale Physics · Physics 2025-07-01 Ming Gong , Peng-Lu Zhao , Hai-Zhou Lu , Qian Niu , X. C. Xie

We study the interplay of disorder and bandstructure topology in a Weyl semimetal with a tilted conical spectrum around the Weyl points. The spectrum of particles is given by the eigenvalues of a non-Hermitian matrix, which contains…

Mesoscale and Nanoscale Physics · Physics 2018-01-24 A. A. Zyuzin , A. Yu. Zyuzin

Weyl semimetals are examples of a new class of topological states of matter which are gapless in the bulk with protected surface states. Their low energy sector is characterized by massless chiral fermions which are robust against…

Strongly Correlated Electrons · Physics 2015-06-22 Michael Phillips , Vivek Aji

We investigate the quasi-particle and transport properties of a model describing interacting Dirac and Weyl semimetals in the presence of local Hubbard repulsion $U$, where we explicitly include a deviation from the linearity of the…

Strongly Correlated Electrons · Physics 2025-03-18 Arianna Poli , Niklas Wagner , Max Fischer , Alessandro Toschi , Giorgio Sangiovanni , Sergio Ciuchi

We study the influence of disorder on the topological transition from a two-dimensional Dirac semi-metal to an insulating state. This transition is described as a continuous merging of two Dirac points leading to a semi-Dirac spectrum at…

Mesoscale and Nanoscale Physics · Physics 2013-07-26 David Carpentier , Andrei A. Fedorenko , Edmond Orignac

When a metal undergoes continuous quantum phase transition, the correlation length diverges at the critical point and the quantum fluctuation of order parameter behaves as a gapless bosonic mode. Generically, the coupling of this boson to…

Superconductivity · Physics 2018-05-22 Xin Li , Jing-Rong Wang , Guo-Zhu Liu

We study a non-Anderson disorder driven quantum phase transition in a semi-infinite Dirac semimetal with a flat boundary. The conformally invariant boundary conditions, which include those that are time-reversal invariant, lead to…

Disordered Systems and Neural Networks · Physics 2024-05-09 Eric Brillaux , Andrei A. Fedorenko , Ilya A. Gruzberg

We report a new attractive critical point occurring in the Anderson localization scaling flow of symplectic models on fractals. The scaling theory of Anderson localization predicts that in disordered symplectic two-dimensional systems weak…

Mesoscale and Nanoscale Physics · Physics 2016-10-19 Doru Sticlet , Anton Akhmerov

We use the semiclassical approach combined with the scaling results for the diffusion coefficient to consider the two-level correlation function $R(\varepsilon)$ for a disordered electron system in the crossover region, characterized by the…

Condensed Matter · Physics 2016-08-31 Arkady G. Aronov , Vladimir E. Kravtsov , Igor V. Lerner

We clarify novel forms of scaling functions of conductance, critical conductance distribution and localization length in a disorder-driven quantum phase transition between band insulator and Weyl semimetal phases. Quantum criticality of the…

Mesoscale and Nanoscale Physics · Physics 2018-07-11 Xunlong Luo , Tomi Ohtsuki , Ryuichi Shindou

In nodal-line semimetals, Coulomb interactions and short-range correlated disorder are both marginal perturbations to the clean non-interacting Hamiltonian. We analyze their interplay using a weak-coupling renormalization group approach. In…

Strongly Correlated Electrons · Physics 2017-09-28 Yuxuan Wang , Rahul M. Nandkishore

Disordered non-interacting systems in sufficiently high dimensions have been predicted to display a non-Anderson disorder-driven transition that manifests itself in the critical behaviour of the density of states and other physical…

Mesoscale and Nanoscale Physics · Physics 2016-04-13 S. V. Syzranov , P. M. Ostrovsky , V. Gurarie , L. Radzihovsky

We study the dynamics of Dirac and Weyl electrons in disordered point-node semimetals. The ballistic feature of the transport is demonstrated by simulating the wave-packet dynamics on lattice models. We show that the ballistic transport…

Disordered Systems and Neural Networks · Physics 2020-07-01 Koji Kobayashi , Miku Wada , Tomi Ohtsuki

In this work we address the physics of individual three dimensional Weyl nodes subject to a moderate concentration of disorder. Previous analysis indicates the presence of a quantum phase transition below which disorder becomes irrelevant…

Disordered Systems and Neural Networks · Physics 2018-11-29 Michael Buchhold , Sebastian Diehl , Alexander Altland