Theory of Four-dimensional Fractional Quantum Hall States

Details Theory of Four-dimensional Fractional Quantum Hall States Theory of Four-dimensional Fractional Quantum Hall States

2006-06-16

arxiv.org/abs/cond-mat/0606434v3

AnnalsPhys.322:2485-2492,2007

Physics

Condensed Matter

Strongly Correlated Electrons

4 pages

Scientific paper

10.1016/j.aop.2006.11.011

We propose a pseudo-potential Hamiltonian for the Zhang-Hu's generalized fractional quantum Hall states to be the exact and unique ground states. Analogously to Laughlin's quasi-hole (quasi-particle), the excitations in the generalized fractional quantum Hall states are extended objects. They are vortex-like excitations with fractional charges $+(-)1/m^3$ in the total configuration space CP$^3$. The density correlation function of the Zhang-Hu states indicates that they are incompressible liquid.

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