4 papers
Exact statistical properties of the zeros of complex random polynomials
P. J. Forrester, G. Honner
The zeros of complex Gaussian random polynomials, with coefficients such that the density in the underlying complex space is uniform, are known to have the same statistical propert…
Correlations for the orthogonal-unitary and symplectic-unitary transitions at the hard and soft edges
P. J. Forrester, T. Nagao, G. Honner
For the orthogonal-unitary and symplectic-unitary transitions in random matrix theory, the general parameter dependent distribution between two sets of eigenvalues with two differe…
Ordering of localized moments in Kondo lattice models
Graeme Honner, Miklos Gulacsi
We describe the transition from a ferromagnetic phase, to a disordered para- magnetic phase, which occurs in one-dimensional Kondo lattice models with partial conduction band filli…
One-dimensional Kondo lattice at partial band filling
Graeme Honner, Miklos Gulacsi
An effective Hamiltonian for the localized spins in the one-dimensional Kondo lattice model is derived via a unitary transformation involving a bosonization of delocalized conducti…