I am quite interested in the understanding of the relation between p_ip wave superconductor(SC) and the Moore-Read(MR) state.
They share many similar properties, for example, p+ip SC has majorana as vortex excitation, MR has nonabelian quasi hole excitation. More interestingly, their wavefuncions are similar to some extent. All of them can be found in Read and Green's paper: http://arxiv.org/pdf/cond-mat/9906453v3.pdf. (where you can find the wavefunction for p+ip SC in eqn.12 and above, MR wavefunction in eqn.5.1 in http://www.physics.rutgers.edu/~gmoore/MooreReadNonabelions.pdf).
These two wave functions are similar only when electrons are separated far from each other, as shown in eqn 16 in Read Green's paper.
Does anyone know how to explain the relation between these two states? Why they share similar property at long distance?
Thanks in advance.