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Disorder-induced phase transitions in double Weyl semimetals

Jun 16, 2022

11 pages

Published in:

Phys.Rev.B 106 (2022) 18, 184202

Published: Nov 1, 2022

e-Print:

2206.08208 [cond-mat.mes-hall]

DOI:

10.1103/PhysRevB.106.184202 (publication)

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Abstract: (APS)

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 and the noncommutative Kubo formula, we numerically calculate the localization length and the Hall conductivity in the presence of the on-site nonmagnetic disorder or orbital (spin-flip) disorders, and give the corresponding global phase diagrams. For the on-site nonmagnetic disorder, the system undergoes the DWSM-3D quantum anomalous Hall (3D QAH) and normal insulator (NI)–DWSM phase transitions, and evolves into the diffusive metal phase before entering the gapless Anderson insulator phase, which is consistent with the Weyl semimetal. For

σ_{x}

orbital disorder, increasing disorder strength can generate a pair of Weyl nodes at the boundary of the Brillouin zone and induce a 3D QAH–DWSM phase transition. Surprisingly, DOS calculations manifest that the insulator phase induced by the

σ_{x}

disorder is gapped, which is different from the gapless DOS in the system with

σ_{0}

disorders. Another difference is the direct DWSM-NI transition. These results indicate that the

σ_{0}

and

σ_{x}

disorders have a diverse impact on the system. Then we investigate the interplay of orbital disorders for both disordered 3D QAH phase and DWSM phase. The disorder-induced transitions at low disorders can be well understood in terms of the self-consistent Born approximation.

Note:

8 pages, 9 figures

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