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Abstract <p>The localized fermionic states arising in an effective field theory model of graphene on the substrate generating a spatially inhomogeneous mass gap were studied. It was shown that in the case of terrace-stepped structure of the substrate inhomogeneity in which the chiral mass has the opposite sign on different terraces, both massless and massive fermionic states are generated. The mass spectrum of such states depends on the size of the mass gap generated by the substrate, as well as the width of the terraces, the number of terraces in the substrate structure, and the width of the transition step.</p>

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Localized Electronic States of Graphene on a Substrate with a Terrace-Stepped Structure

  • 期刊论文

  • 发表日期：

    2025年2月1日

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  • G. A. Krasukov,
  • O. V. Pavlovsky

摘要

Abstract

The localized fermionic states arising in an effective field theory model of graphene on the substrate generating a spatially inhomogeneous mass gap were studied. It was shown that in the case of terrace-stepped structure of the substrate inhomogeneity in which the chiral mass has the opposite sign on different terraces, both massless and massive fermionic states are generated. The mass spectrum of such states depends on the size of the mass gap generated by the substrate, as well as the width of the terraces, the number of terraces in the substrate structure, and the width of the transition step.