2013/08/29 by Kelly R. Patton, Kelly R Patton, Michael R. Geller +1
Engineering · Physics and Astronomy · #Advancements in Semiconductor Devices and Circuit Design #Compressibility #Filling factor #Impurity #Landau quantization #Physics of Superconductivity and Magnetism #Quantum Hall effect #Quantum and electron transport phenomena #Scalar (mathematics) #Spectral function #Wave function #cond-mat.dis-nn #cond-mat.str-el
paper · pdf · doi:10.1088/1367-2630/16/2/023004
7 pages and 4 figures
arxiv created 2013/08/29 · openalex publication_date 2014/02/04 · arxiv updated 2015/06/17 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
The single-particle spectral function for an incompressible fractional quantum Hall state in the presence of a scalar short-ranged attractive impurity potential is calculated via exact diagonalization within the spherical geometry. In contrast to the noninteracting case, where only a single bound state below the lowest Landau level forms, electron–electron interactions strongly renormalize the impurity potential, effectively giving it a finite range, which can support many quasi-bound states (long-lived resonances). Averaging the spectral weights of the quasi-bound states and extrapolating to the thermodynamic limit, for filling factor ν = 1/3 we find evidence consistent with localized fractionally charged e /3 quasi-particles. For ν = 2/5, the results are slightly more ambiguous, due to finite size effects and possible bunching of Laughlin-quasi-particles.