Flat bands in topological media
By T. Heikkilä, N. B. Kopnin, Grigory E. Volovik. 2010
245 citations recorded by the source corpus.
Topological media are systems whose properties are protected by topology and thus are robust to deformations of the system. In topological insulators and superconductors the bulk-surface and bulk-vortex correspondence gives rise to the gapless Weyl, Dirac or Majorana fermions on the surface of the system and inside vortex cores. Here we show that in gapless topological media, the bulk-surface and bulk-vortex correspondence is more effective: it produces topologically protected gapless fermions without dispersion—the fiat band. Fermion zero modes forming the flat band are localized on the surface of topological media with protected nodal lines [A. P. Schnyder and S. Ryu, Phys. Rev. B 84, 060504(R) (2011); T. T. Heikkil G. E. Volovik, JETP Lett. 93, 59 (2011)] and in the vortex core in systems with topologically protected Fermi points (Weyl points) [G. E. Volovik, JETP Lett. 93, 66 (2011)]. Flat band has an extremely singular density of states, and we show that this property may give rise in particular to surface superconductivity which could exist even at room temperature.
Subfields: Atomic and Molecular Physics, and Optics, Materials Chemistry, Physical and Theoretical Chemistry
View Paper: https://www.semanticscholar.org/paper/568f2835f38fab91f425edaec890c1b6ed4f8f41
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Citations in the corpus
- Superconductivity, superfluidity and quantum geometry in twisted multilayer systems (2021, unknown): “↑ † ↓ † ∑ H H c c ≈ = (Δ + H c ) (10) α α α α i i i int int (m f )”
- Topological node-line semimetal in three-dimensional graphene networks (2014, background): “[42] T.”
- Superfluidity in topologically nontrivial flat bands (2015, background): “(5) Supercurrent and superfluid weight are obtained as derivatives of the grand potential with respect to q: the results are given in terms of the band dispersions and the Bloch functions.”
- Weyl and Dirac semimetals in three-dimensional solids (2017, background): “A direct consequence is the presence of Fermi arc surface states at the boundaries of the superfluid, as in Weyl semimetals, which will be pinned at zero energy (Heikkilä et al., 2011).”
- Recent developments in transport phenomena in Weyl semimetals (2013, background): “ graphene – the socalled Weyl semimetal (WSM) (Wan et al. [38], Witczak-Krempa and Kim [42], Chen and Hermele [6], Turner and Vishwanath [33], Vafek and Vishwanath [35], Volovik [37], Heikkila et al. [15]). Like graphene, its band structure has a pair of bands crossing at certain points in momentum ”