2014/09/30 by Tahereh Mazaheri, Gerardo Ortiz, Gerardo Ortíz +2
Mathematics · Physics and Astronomy · #Algorithm #Bosonization #Electron #Fermion #Formalism (music) #Fractional quantum Hall effect #Landau quantization #Mathematical physics #Mathematics #Mechanical and Optical Resonators #Physics #Quantization (signal processing) #Quantum #Quantum Hall effect #Quantum and electron transport phenomena #Quantum mechanics #Quantum spin Hall effect #Theoretical physics #Topological Materials and Phenomena #Wave function #cond-mat.mes-hall #cond-mat.str-el #math-ph #math.MP
paper · pdf · doi:10.1103/physrevb.91.085115
published as Phys. Rev. B 91, 085115 (2015) · version published in PRB, editor's suggestion
openalex publication_date 2015/02/20 · arxiv created 2015/02/27 · arxiv updated 2015/03/02 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
Fractional Quantum Hall (FQH) wave functions are usually obtained in a first-quantized language, using special properties of analyticity of the lowest Landau level (LLL) wave functions. Unfortunately, this formalism is not directly applicable to several systems different from the LLL, such as the recently discovered fractional Chern insulators. Introducing a second-quantized formalism represents an important step towards a new understanding of FQH wave functions in terms of the guiding center degrees of freedom only. In this paper, the authors present several applications of the formalism, including an explicit derivation of the second-quantized version of Read's string order parameter for the Laughlin state.