2008/04/01 by Alberto Blasi, A. Blasi, Dario Ferraro +7
Chemistry · Physics and Astronomy · #Abelian group #Advanced Physical and Chemical Molecular Interactions #Boundary (topology) #Boundary value problem #Enhanced Data Rates for GSM Evolution #Fractional quantum Hall effect #Interpretation (philosophy) #Quantum Hall effect #Quantum and electron transport phenomena #Quantum spin Hall effect #Topological Materials and Phenomena #cond-mat.mes-hall #hep-th
paper · pdf · doi:10.1002/andp.200810323
published as Annalen Phys.17:885-896,1997 · 13 pages
arxiv created 2008/04/01 · openalex publication_date 2008/08/15 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
The method of separability, introduced by Symanzik, is applied in order to describe the effect of a boundary for a fractional quantum Hall liquid in the Laughlin series. An Abelian Chern-Simons theory with plane boundary is considered and the Green functions both in the bulk and on the edge are constructed, following a rigorous, perturbative, quantum field theory treatment. We show that the conserved boundary currents find an explicit interpretation in terms of the continuity equation with the electron density satisfying the Tomonaga-Luttinger commutation relation.