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Dimensional crossover in topological matter: Evolution of the multiple Dirac point in the layered system to the flat band on the surface

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Heikkilä, T. T., Volovik, G. E.·2011·JETP Letters

Abstract

We consider the dimensional crossover in the topological matter, which involves the transformation of different types of topologically protected zeroes in the fermionic spectrum. In the considered case, the multiple Dirac (Fermi) point in quasi 2-dimensional system evolves into the flat band on the surface of the 3-dimensional system when the number of atomic layers increases. This is accompanied by formation of the spiral nodal lines in the bulk. We also discuss the topological quantum phase transition at which the surface flat band shrinks and changes its chirality, while the nodal spiral changes its helicity.

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Metadata

Authors
Heikkilä, T. T., & Volovik, G. E.
Venue
JETP Letters
Published
2011-03
Volume
93
Issue
2
Pages
59-65
ISSN
  • 0021-3640 (ISSN-L)
  • 1090-6487
OpenAlex
W2051157533
Cited by
164
References
4
FWCI
4.52
Type
journal article
Language
en
Open access
green

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CoChat. (2026). Citation check: Dimensional crossover in topological matter: Evolution of the multiple Dirac point in the layered system to the flat band on the surface. https://app.cochat.ai/papers/10.1134/s002136401102007x
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Heikkilä, T. T., & Volovik, G. E. (2011). Dimensional crossover in topological matter: Evolution of the multiple Dirac point in the layered system to the flat band on the surface. JETP Letters. https://doi.org/10.1134/s002136401102007x

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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).

Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.