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The Density of Surface States in Weyl Semimetals

2014/06/05 by Alexander Protogenov, Protogenov, Alexander P., V. A. Verbus +3
Materials Science · Physics and Astronomy · #FOS: Physical sciences #Graphene research and applications #Mesoscale and Nanoscale Physics (cond-mat.mes-hall) #Quantum and electron transport phenomena #Topological Materials and Phenomena

paper · pdf · doi:10.48550/arxiv.1406.1507

openalex publication_date 2014/06/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Weyl semimetal is a three-dimensional material with a conical spectrum near an even number of point nodes, where two bands touch each other. Here we study spectral properties of surface electron states in such a system. We show that the density of surface states possesses a logarithmic singularity for the energy ε → 0. It decreases linearly at the intermediate energy of surface electron states and approaches zero as √(1-ε) for ε → 1. This universal behavior is a hallmark of the topological order that offers a new wide range of applications.

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