Typology for quantum Hall liquids

Journal article

There is a close analogy between the response of a quantum Hall liquid (QHL) to a small change in the electron density and the response of a superconductor to an externally applied magnetic flux-an analogy which is made concrete in the Chern-Simons Landau-Ginzburg (CSLG) formulation of the problem. As the types of superconductors are distinguished by this response, so too for QHLs: A typology can be introduced which is, however, richer than that in superconductors owing to the lack of any time-reversal symmetry relating positive and negative fluxes. At the boundary between type I and type II behavior, the CSLG action has a "Bogomol'nyi point," where the quasiholes (vortices) are noninteracting-at the microscopic level, this corresponds to the behavior of systems governed by a set of model Hamiltonians which have been constructed to render exact a large class of QHL wave functions. All types of QHLs are capable of giving rise to quantized Hall plateaux. © 2012 American Physical Society.

Authors: Parameswaran, SA; Kivelson, SA; Rezayi, E; Simon, S; Sondhi, S

• Publication status: Published
• Journal: Physical Review B
• Volume: 85
• Issue: 24
• Publication date: 2012-06-20
• DOI: 10.1103/PhysRevB.85.241307
• EISSN: 1550-235X
• ISSN: 1098-0121
• Language: English