2016/04/30 by Ajit C. Balram, J. K. Jain · 5 citations
Materials Science · Mathematics · Physics and Astronomy · #Composite fermion #Composite number #Dirac fermion #Electron #Fermion #Geometry #Graphene research and applications #Mathematics #Microscopic theory #Physics #Quantum Hall effect #Quantum and electron transport phenomena #Quantum mechanics #Quantum spin Hall effect #Symmetry (geometry) #Theoretical physics #Topological Materials and Phenomena #cond-mat.mes-hall #cond-mat.str-el
paper · pdf · doi:10.1103/physrevb.93.235152
published as Phys. Rev. B 93, 235152 (2016) · 17 pages, 3 figures, published version
openalex publication_date 2016/06/27 · arxiv created 2016/06/28 · arxiv updated 2016/06/29 · openalex created_date 2016/07/22 · openalex updated_date 2026/08/05
Motivated by the particle-hole symmetry at the half-filled lowest Landau level, many articles have taken the point of view, following D. T. Son, that composite fermions are Dirac particles and their Fermi sea is akin to that occurring at the surface of a three dimensional topological insulator. This presents a paradox, because the microscopic theory of composite fermions, which treats composite fermions as non-relativistic particles, has been confirmed in great detail. The authors discuss what features of the Dirac-composite fermion view can be reconciled with the microscopic theory. They also show how particle-hole symmetry can emerge in the Chern-Simons formulation of composite fermions.