Developers:FutureTutorials:FQHE

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FQHE


Describe physical system, history, models, single particle basis.

Specify Specific Model: Coulomb interaction at nu=1/3 on sphere

Calculation 1:

Use ED to compute energy spectra and wavefunctions. Plot Energy of few lowest eigenvalues as a function of total momentum. Identify roton.

Calculation 2:

Use ansatz wavefunction with variational Monte Carlo to compute lowest energies. Compare energies from ED with wavefunctions.

Code needed:

ED: generate basis generate, compute matrix elements, use eigenvalue solver, energy output, wavefunction output

VMC: construct wavefunction, construct interaction, do metropolis sampling, compute energy, bin energy, output with error bars