studies and some new results are discussed. All the results are explained intuitively using the concept of wave impedance.'
author:
- Seulong Kim
- Kihong Kim
title: 'Anderson localization and delocalization of massless two-dimensional Dirac electrons in random one-dimensional scalar and vector potentials'
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Introduction
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The phenomenon of Anderson localization of quantum particles in a random potential and classical waves in random media continues to attract a strong interest of researchers, despite of a half-century of investigation.[@pwa; @aalr; @john; @she; @bk; @sch; @billy; @mod; @segev; @sperl; @shein] Though the basic origin of Anderson localization, which is the interference of wave components multiply scattered by randomly placed scattering centers, is well-understood, new and surprising aspects of the phenomenon have been discovered continually.[@izra; @blio1; @bpn1; @nara; @arn; @bpn2; @wchoi; @king; @fang] Differences in the types of wave equations, the material properties and the nature of disorder all affect Anderson localization strongly and can cause conceptually new phenomena to occur. Recently, much interest has been paid to the localization arising in new kinds of condensed-matter materials and artificially fabricated metamaterials.[@fang; @gre; @asa; @hsi; @liao; @bab; @chois; @makh]

In this paper, we are especially interested in the unique localization and delocalization phenomena occurring 