Disorder Induced Phase Transitions of Type-II Weyl Semimetal

Abstract

Weyl semimetals are a newly discovered class of materials that host relativistic massless Weyl fermions as their low-energy bulk excitations. Among this new class of materials, there exist two general types of semimetals that are of particular interest: type-I Weyl semimetals, that have broken inversion or time-reversal symmetry symmetry, and type-II Weyl semimetals, that additionally breaks Lorentz invariance. In this work, we use Born approximation to analytically demonstrate that the type-I Weyl semimetals may undergo a quantum phase transition to type-II Weyl semimetals in the presence of the finite charge and magnetic disorder when non-zero tilt exist. The phase transition occurs when the disorder renormalizes the topological mass, thereby reducing the Fermi velocity near the Weyl cone below the tilt of the cone. We also confirm the presence of the disorder induced phase transition in Weyl semimetals using exact diagonalization of a three-dimensional tight-binding model to calculate the resultant phase diagram of the type-I Weyl semimetal.

References in corpus (9)

• Phase transition between the quantum spin Hall and insulator phases in 3D: emergence of a topological gapless phase
• Topological Anderson Insulator
• Disorder-induced Floquet Topological Insulators
• Topological Anderson Insulator in Three Dimensions
• Superconductivity of doped Weyl semimetals: finite-momentum pairing and electronic analogues of the 3He-A phase
• Topological Weyl Semi-metal from a Lattice Model
• The dependence of topological Anderson insulator on the type of disorder
• Hybrid Weyl Semimetal
• Helical Majorana surface states of strongly disordered topological superconductors with time-reversal symmetry

Cited by in corpus (8)

• Disorder-driven Phase Transitions of Second-order Non-Hermitian Skin Effects
• Absorption of circular polarized light in tilted Type-I and II Weyl semimetals
• Interplay between topology and disorder in a two-dimensional semi-Dirac material
• Topological Anderson insulators induced by random binary disorders
• Topological phase transition between distinctWeyl semimetal states in MoTe2
• Disorder and magnetic transport in tilted Weyl semimetals
• Disorder and magnetoconductivity in tilted Weyl semimetals
• Interaction-induced phase transitions of type-II Weyl semimetals