2014/07/28 by Sutirtha Mukherjee, J. K. Jain, Sudhansu S. Mandal
Mathematics · Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Combinatorics #Component (thermodynamics) #Composite fermion #Condensed matter physics #Dimension (graph theory) #Electron #Fermion #MAJORANA #Mathematics #Pairing #Physics #Quantum Hall effect #Quantum and electron transport phenomena #Quantum mechanics #Quantum spin Hall effect #Realization (probability) #State (computer science) #Statistics #Superconductivity #Topological Materials and Phenomena #Wave function #Zeeman effect #cond-mat.mes-hall #cond-mat.str-el
paper · pdf · doi:10.1103/physrevb.90.121305
published as Phys. Rev. B 90, 121305(R) (2014) · 6 pages, 2 figures
arxiv created 2014/07/28 · openalex publication_date 2014/09/26 · arxiv updated 2014/09/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
There is much interest in the realization of systems with p-wave pairing in one dimension or chiral p-wave pairing in two dimensions, because these are believed to support Majorana modes at the ends or inside vortices. We consider a two-component system of composite fermions and provide theoretical evidence that, under appropriate conditions, the screened interaction between the minority composite fermions is such as to produce an almost exact realization of a p-wave paired state described by the so-called anti-Pfaffian wave function. This state is predicted to occur at filling \ensuremathν=3/8 or 13/8 in GaAs when the Zeeman energy is sufficiently small, and at \ensuremathν=\ifmmode±\else\textpm\fi3/8 or \ifmmode±\else\textpm\fi13/8 in single layer graphene when either the Zeeman or the valley splitting is sufficiently small.