Numerical studies of the Pfaffian model of the nu=5/2 fractional quantum Hall effect

Understand

The Pfaffian model has been proposed for the fractional quantum Hall effect (FQHE) at nu=5/2.

• We examine it for the quasihole excitations by comparison with exact diagonalization results.
• Specifically, we consider the structure of the low-energy spectrum, accuracy of the microscopic wave functions, particle-hole symmetry, splitting of the degeneracies, and off-diagonal long range order.
• We also review how the 5/2 FQHE can be understood without appealing to the Pfaffian model.