1993/10/08 by Claudio Chamon, C. de C. Chamon, Xiao-Gang Wen +1 · 3 citations
Physics and Astronomy · #Condensed matter physics #Electron #Enhanced Data Rates for GSM Evolution #Fermi liquid theory #Gapless playback #Observable #Physics #Physics of Superconductivity and Magnetism #Quantum Hall effect #Quantum and electron transport phenomena #Quantum mechanics #Quantum point contact #Quantum tunnelling #Quantum well #Topological Materials and Phenomena #cond-mat
paper · pdf · doi:10.1103/physrevb.49.8227
28 pages, REVTeX 3.0, 18 figures available upon request, cond-mat/yymmnnn
arxiv created 1993/10/08 · openalex publication_date 1994/03/15 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We study the transition between sharp and smooth density distributions at the edges of quantum Hall liquids in the presence of interactions. We find that, for strong confining potentials, the edge of a \ensuremathν=1 liquid is described by the ZF=1 Fermi-liquid theory, even in the presence of interactions, a consequence of the chiral nature of the system. When the edge confining potential is decreased beyond a point, the edge undergoes a reconstruction and electrons start to deposit a distance \ensuremath∼2 magnetic lengths away from the initial quantum Hall liquid. Within the Hartree-Fock approximation, a new pair of branches of gapless edge excitations is generated after the transition. We show that the transition is controlled by the balance between a long-ranged repulsive Hartree term and a short-ranged attractive exchange term. Such a transition also occurs for quantum dots in the quantum Hall regime and should be observable in resonant tunneling experiments. We find that the edge theory for sharp edges also applies to smooth edges (i.e., reconstructed edges) once the additional pairs of edge branches are included. Electron tunneling into the reconstructed edge is also discussed.