Dimensional crossover in topological matter: Evolution of the multiple Dirac point in the layered system to the flat band on the surface
By T. Heikkilä, Grigory E. Volovik. 2010
134 citations recorded by the source corpus.
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.
Subfields: Atomic and Molecular Physics, and Optics, Materials Chemistry
View Paper: https://www.semanticscholar.org/paper/4bdd1a1d041ffb8fa61106661d3d431e3694d262
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In Atomic and Molecular Physics, and Optics
In Materials Chemistry
Citations in the corpus
- Topological Semimetals from First Principles (2018, background): “These attributes, in combination with their topological characteristics, have led to the identification of a growing number of different TSM families, which include Dirac and Weyl semimetals (4, 5, 6, 7), nodal line semimetals (8, 9, 10), type-I and type-II semimetals (11), multifold fermion semimet”
- Flat bands in topological media (2010, background): “The states with momentum p‖ ∈ Sp cannot be adiabatically transformed into states in topologically trivial (N2 = 0) media, and therefore a surface state with zero energy is formed for all momenta within Sp.[1, 2, 24] This is in contrast with topological insulators, where this type of momentum-space i”
- Topological node-line semimetal in three-dimensional graphene networks (2014, background): “[41] T.”