From a Laughlin State to the Haldane–Shastry Model

  • Martin GreiterEmail author
Part of the Springer Tracts in Modern Physics book series (STMP, volume 244)


In this section, we wish to derive, or maybe better obtain, the Haldane–Shastry model from the bosonic m = 2 Laughlin state and its parent Hamiltonian. At first sight, this does not appear to be a sensible endeavor. Let us briefly recall both models.


Spin Chain Tensor Component Annihilation Operator Single Particle State Spin Rotation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


  1. 1.
    R. Thomale, D.P. Arovas, B.A. Bernevig, Nonlocal order in gapless systems: entanglement spectrum in spin chains. Phys. Rev. Lett. 105, 116805 (2010)CrossRefADSGoogle Scholar
  2. 2.
    G. Baym, Lectures on Quantum Mechanics (Benjamin/Addison Wesley, New York, 1969)zbMATHGoogle Scholar
  3. 3.
    F.D.M. Haldane, Fractional quantization of the Hall effect: a hierarchy of incompressible quantum fluid states. Phys. Rev. Lett. 51, 605 (1983)CrossRefADSMathSciNetGoogle Scholar
  4. 4.
    K. Gottfried, Quantum Mechanics, vol. I: Fundamentals (Benjamin/Addison Wesley, New York, 1966)Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  1. 1.Institut für Theorie der Kondensierten Materie (TKM)Karlsruhe Institut für Technologie (KIT)KarlsruheGermany

Personalised recommendations