Quantum Criticality and Neutron Scattering Solutions for a Spin-1/2 Ladder Model

Exact solutions for a two dimensional, $S = 1/2$ quantum spin ladder model are obtained through mapping the Hamiltonian and correlation functions onto those of a one dimensional Ising chain model [1]. These solutions include a three dimensional ground state phase diagram, establishing states of ladder rung singlets, triplets, and alternating singlets and triplets in terms of interaction parameters and applied magnetic field. Evidence of quantum criticality is uncovered for select regions of the phase diagram through explorations into ladder site correlations and correlation lengths. Neutron scattering solutions for scattering intensities provide insight into the energy spectra associated with various rung spin configurations. \\$[1]$ J. H. Barry and M. W. Meisel, \textit{Phys. Rev. B} \textbf{58}, 3129 (1998).