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The quantum phase diagram of disordered wires in a strong magnetic field is studied as a function of wire width and energy. The two-terminal conductance shows zero-temperature discontinuous transitions between exactly integer plateau values…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Alexander Struck , Bernhard Kramer , Tomi Ohtsuki , Stefan Kettemann

The emergence of a charge density wave (CDW) in a Weyl semimetal -- a correlated topological phase, is exceptionally rare in condensed matter systems. In this context, the quasi-one-dimensional type-III Weyl semimetal (TaSe$_4$)$_2$I…

From transfer-matrix calculation of localization lengths and their finite-size scaling analyses, we evaluate critical exponents of the Anderson metal-insulator transition in three dimensional (3D) orthogonal class with particle-hole…

Disordered Systems and Neural Networks · Physics 2020-01-29 Xunlong Luo , Baolong Xu , Tomi Ohtsuki , Ryuichi Shindou

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

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

A Weyl semimetal (WSM)\ is a three-dimensional topological phase of matter where pairs of nondegenerate bands cross at isolated points in the Brillouin zone called Weyl nodes. Near these points, the electronic dispersion is gapless and…

Mesoscale and Nanoscale Physics · Physics 2021-10-20 Samuel Vadnais , Rene Cote

We study the problem of phase transitions from 3D topological to normal insulators without inversion symmetry. In contrast with the conclusions of some previous work, we show that a Weyl semimetal always exists as an intermediate phase…

Mesoscale and Nanoscale Physics · Physics 2014-10-29 Jianpeng Liu , David Vanderbilt

Two-dimensional non-interacting fermions without any anti-unitary symmetries generically get Anderson localized in the presence of disorder. In contrast, topological superconductors with their inherent particle-hole symmetry can host a…

Mesoscale and Nanoscale Physics · Physics 2026-01-01 Subrata Pachhal , Naba P. Nayak , Soumya Bera , Adhip Agarwala

Weyl semimetals are paradigmatic topological gapless phases in three dimensions. We here address the effect of disorder on charge transport in Weyl semimetals. For a single Weyl node with energy at the degeneracy point and without…

Mesoscale and Nanoscale Physics · Physics 2014-07-14 Björn Sbierski , Gregor Pohl , Emil J. Bergholtz , Piet W. Brouwer

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

We theoretically address the effects of strong magnetic fields in three-dimensional Weyl semimetals (WSMs) built out of Weyl nodes with a monopole charge $n$. For $n=1$, $2$, and $3$ we realize single, double, and triple WSM, respectively,…

Materials Science · Physics 2016-11-29 Xiao Li , Bitan Roy , S. Das Sarma

Formulating consistent theories describing strongly correlated metallic topological phases is an outstanding problem in condensed matter physics. In this work we derive a theory defining a fractionalized analogue of the Weyl semimetal…

Mesoscale and Nanoscale Physics · Physics 2016-10-26 Tobias Meng , Adolfo G. Grushin , Kirill Shtengel , Jens H. Bardarson

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

The physical realization of Chern insulators is of fundamental and practical interest, as they are predicted to host the quantum anomalous Hall effect (QAHE) and topologically protected chiral edge states which can carry dissipationless…

Motivated by Weyl semimetals and weakly doped semiconductors, we study transport in a weakly disordered semiconductor with a power-law quasiparticle dispersion $\xi_{\bf k}\propto k^\alpha$. We show, that in $2\alpha$ dimensions…

Mesoscale and Nanoscale Physics · Physics 2015-04-29 S. V. Syzranov , L. Radzihovsky , V. Gurarie

We study transport across junctions of a Weyl and a multi-Weyl semimetal (WSM and a MSM) separated by a region of thickness $d$ which has a barrier potential $U_0$. We show that in the thin barrier limit ($U_0 \to \infty$ and $d \to 0$ with…

Strongly Correlated Electrons · Physics 2019-03-06 Debabrata Sinha , K. Sengupta

Typical Weyl semimetals host chiral surface states and hence show an anomalous Hall response. Although a Weyl semimetal phase is known to be robust against weak disorder, the influence of disorder on chiral states is not fully clarified so…

Mesoscale and Nanoscale Physics · Physics 2016-12-21 Yositake Takane

We study the effect of disorder on the spacetime supersymmetry that is proposed to emerge at the quantum critical point of pair density wave transition in (2+1)D Dirac semimetals and (3+1)D Weyl semimetals. In the (2+1)D Dirac semimetal, we…

Strongly Correlated Electrons · Physics 2022-06-02 Xue-Jia Yu , Peng-Lu Zhao , Shao-Kai Jian , Zhiming Pan

We investigate the unconventional quantum phase transitions in Weyl semimetals. The emergent boson fields, coupling with the Weyl fermion bilinears, contain a Wess-Zumino-Witten term or topological $\Theta$ term inherited from the momentum…

Strongly Correlated Electrons · Physics 2016-11-10 Yizhi You

We study the phase diagram for a lattice model of a time-reversal-broken three-dimensional Weyl semimetal (WSM) in an orbital magnetic field $B$ with a flux of $p/q$ per unit cell ($0\le p \le q-1$), with minimal crystalline symmetry. We…

Mesoscale and Nanoscale Physics · Physics 2022-04-05 Faruk Abdulla , Ankur Das , Sumathi Rao , Ganpathy Murthy