2010/11/29 by G. E. Volovik · 2 citations
Mathematics · Physics and Astronomy · #Boundary (topology) #Cold Atom Physics and Bose-Einstein Condensates #Condensed matter physics #Electron #Fermi Gamma-ray Space Telescope #Fermi energy #Fermi surface #Geometry #Mathematical analysis #Mathematics #Physics #Position and momentum space #Projection (relational algebra) #Quantum mechanics #Quantum, superfluid, helium dynamics #Superfluidity #Surface (topology) #Topological Materials and Phenomena #Topological defect #Topological quantum number #Topology (electrical circuits) #Vortex #cond-mat.str-el #hep-ph
paper · pdf · doi:10.1134/s0021364011020147
published as Pisma Zh.Eksp.Teor.Fiz. 93:69-72,2011; JETP Lett.93:66-69,2011 · 4 pages, 1 figure, JETP Lett. style, submitted to JETP Lett., abstract is corrected
arxiv created 2010/11/29 · openalex publication_date 2011/03/01 · arxiv updated 2011/06/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We discuss the dispersionless spectrum with zero energy in the linear topological defects—vortices. The flat band emerges inside the vortex living in the bulk medium containing topologically stable Fermi points in momentum space. The boundaries of the flat band in the vortex are determined by projections of the Fermi points in bulk to the vortex axis. This bulk-vortex correspondence for flat band is similar to the bulk-surface correspondence discussed earlier in the media with topologically protected lines of zeroes. In the latter case the flat band emerges on the surface of the system, and its boundary is determined by projection of the bulk nodal line on the surface.