Peierls instability in the slave boson formulation via path integrals
In this paper, we analyze Peierls instability by the method of path integration, but first we rewrite the model Hamiltonian in the slave-boson formulation. From the spinon-dominated Hamiltonian, the Peierls instability relation was derived. The partition function as a Euclidean path integral over the spinon field was constructed, and from the path integral measure, a statistics transmutation phase relation was deduced. The energy spectrum was then obtained from the partition function.