Fermi arcs of topological surface states in multi-Weyl Semimetals

TL;DR

This paper systematically analyzes the Fermi arcs of topological surface states in multi-Weyl semimetals, providing analytical calculations and exploring their evolution and phase transitions.

Contribution

It introduces a continuum model for multi-Weyl semimetals, analytically derives spectra and wave functions, and investigates Fermi arc evolution and topological phase transitions.

Findings

Analytical energy spectra and wave functions for quadratic and cubic Weyl semimetals.

Demonstration of topological Lifshitz phase transition of Fermi arcs.

Boundary conditions for double parallel flat boundaries derived.

Abstract

The Fermi arcs of topological surface states in the three-dimensional multi-Weyl semimetals on surfaces by a continuum model are investigated systematically. We calculated analytically the energy spectra and wave function for bulk quadratic- and cubic-Weyl semimetal with a single Weyl point. The Fermi arcs of topological surface states in Weyl semimetals with single- and double-pair Weyl points are investigated systematically. The evolution of the Fermi arcs of surface states variating with the boundary parameter is investigated and the topological Lifshitz phase transition of the Fermi arc connection is clearly demonstrated. Besides, the boundary condition for the double parallel flat boundary of Weyl semimetal is deduced with a Lagrangian formalism.