2014/03/26 by Jainendra K. Jain · 1 citation
Mathematics · Physics and Astronomy · #Composite fermion #Fermion #Fractional Differential Equations Solutions #Fractional quantum Hall effect #Hierarchy #Microscopic theory #Quantum Hall effect #Quantum and electron transport phenomena #cond-mat.mes-hall #cond-mat.str-el #stochastic dynamics and bifurcation
paper · pdf · doi:10.1007/s12648-014-0491-9
published as Indian J of Phys 88, 915-929 (2014) · 14 pages, 5 figures
arxiv created 2014/03/26 · openalex publication_date 2014/05/07 · arxiv updated 2014/09/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
Two microscopic theories have been proposed for the explanation of the fractional quantum Hall effect, namely the Haldane-Halperin hierarchy theory and the composite fermion theory. Contradictory statements have been made regarding the relation between them, ranging from their being distinct to their being completely equivalent. This article attempts to provide a clarification of the issue. It is shown that the two theories postulate distinct microscopic mechanisms for the origin of the fractional quantum Hall effect, and make substantially different predictions that have allowed experiments to distinguish between them.