The Global Phase Diagram of disordered Higher-order Weyl Semimetals

Abstract

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 localization. Specifically, a phase transition from the Weyl semimetal (WSM) to the HOWSM is uncovered, distinguishing the disordered HOWSMs from the traditional WSMs. Further, we confirm the robustness of Weyl-nodes for HOWSMs. Interestingly, the unique topological properties of HOWSMs show different behaviors: (i) the quantized quadrupole moment and the corresponding quantized charge of hinge states are fragile to weak disorder; (ii) the hinge states show moderate stability which enables the feasibility in experimental observation. Our study deepens the understanding of the topological nature of HOWSMs and paves a possible way to the characterization of such a phase in experiments.

9 pages, 8 figures

References in corpus (9)

• Electric Multipole Moments, Topological Multipole Moment Pumping, and Chiral Hinge States in Crystalline Insulators
• Experimental Observation of Higher-Order Topological Anderson Insulators
• Higher-Order Weyl Semimetals
• Observation of a phononic higher-order Weyl semimetal
• Topological Phase Transitions in Disordered Electric Quadrupole Insulators
• Topological Anderson insulators in two-dimensional non-Hermitian disordered systems
• Disorder Effects in Topological States -- Brief Review of the Recent Developments
• Disorder-Induced Quantum Phase Transitions in Three-Dimensional Second-Order Topological Insulators
• Robustness of Helical Hinge States of Weak Second-Order Topological Insulators

Cited by in corpus (20)

• 3D hinge transport in acoustic higher-order topological insulators
• Higher-order topological phases in crystalline and non-crystalline systems: a review
• Higher-order topological Anderson insulators in quasicrystals
• Lifshitz phase transitions in one-dimensional Gamma model
• Bulk-boundary correspondence in disordered higher-order topological insulators
• Engineering second-order topological insulators via coupling two first-order topological insulators
• Hinge mode dynamics of periodically driven higher-order Weyl semimetals
• Floquet second-order topological Anderson insulator hosting corner localized modes
• Quantized charge-pumping in higher-order topological insulators
• Higher-order topological semimetals and nodal superconductors with an order-two crystalline symmetry
• Topological diffusive metal in amorphous transition metal monosilicides
• Rotoinversion-symmetric bulk-hinge correspondence and its applications to higher-order Weyl semimetals
• Disorder-induced phase transitions in double Weyl semimetals
• Remote control of spin polarization of topological corner states
• Higher-order topology in twisted multilayer systems: a review
• Floquet topological phases with time-reversal and space inversion symmetries and dynamical detection of topological charges
• Disorder and quantum transport of the helical quantum Hall phase in graphene
• Recent progress on disorder-induced topological phases
• Three-Dimensional Quantum Hall Effect in Topological Amorphous Metals
• Type-II Weyl Excitation in Vortex Arrays