Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2011-08-02
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
4 pages, 1 figure
Scientific paper
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 superconductor 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 quasi-holes (vortices) are non-interacting - 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 wavefunctions. All Types of QHLs are capable of giving rise to quantized Hall plateaux.
Kivelson Steven A.
Parameswaran Siddharth A.
Rezayi Edward H.
Simon Steve H.
Sondhi Shivaji L.
No associations
LandOfFree
A Typology for Quantum Hall Liquids does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with A Typology for Quantum Hall Liquids, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A Typology for Quantum Hall Liquids will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-662623