JETP Letters

, Volume 93, Issue 2, pp 59–65 | Cite as

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

  • T. T. Heikkilä
  • G. E. Volovik
Condensed Matter


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.


JETP Letter Topological Charge Topological Insulator Dirac Point Nodal Line 
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Copyright information

© Pleiades Publishing, Ltd. 2011

Authors and Affiliations

  1. 1.Low Temperature LaboratoryAalto University, School of Science and TechnologyAALTOFinland
  2. 2.Landau Institute for Theoretical PhysicsRussian Academy of SciencesMoscowRussia

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