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Holomorphic Wavefunctions, Jack Polynomials and the Energy Spectrum of the Fractional Quantum Hall States

Yang Bo (Princeton)
Wed, 08/01/2014 - 11:00am to 12:00pm
S13-M01-11 (Physics Conference Room)
Shaffique Adam
Event Type: 

We show that the holomorphic wavefunction descriptions of the fractional quantum hall states, first pioneered by Laughlin, Moore-Read and others, can be more naturally described by the Jack polynomial formalism. Within this formalism not only the ground states of the various fractional quantum hall fluids can be constructed, the techniques can also be applied to zero-mode edge states and both charged and neutral bulk excitations. As an explicit example, we construct model wavefunctions for a family of single-quasielectron states supported by the nu = 1/3 fractional quantum Hall (FQH) fluid.  (see attached PDF for detailed abstract).

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