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FQHESphereGetDimension computes the Hilbert space dimension for particles on the sphere geometry. For example,

$PATHTODIAGHAM/build/FQHE/src/Programs/FQHEOnSphere/FQHESphereGetDimension -n 12 -s 21 --ground-only

will display the size of the Hilbert space for 12 fermions and 21 flux quanta in the Lz=0 sector. The --boson option has to be used to switch to bosons

$PATHTODIAGHAM/build/FQHE/src/Programs/FQHEOnSphere/FQHESphereGetDimension -n 12 -s 10 --ground-only --boson

FQHESphereGetDimension can also compute Hilbert space dimensions with an internal degree of freedom (like spin) or with multiple Landau levels. This can be done using the following options :

  • --su2-spin : consider particles with SU(2) spin
  • --su3-spin : consider particles with SU(3) spin
  • --su2su2-spin : consider particles with SU(2)xSU(2) spin
  • --su4-spin : consider particles with SU(4) spin
  • --2-ll : consider particles within two Landau levels
  • --3-ll : consider particles within three Landau levels