Exact ground-state results for a disordered-continuum model of the halogen-bridged metal complex PtI

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Abstract
By mapping a continuum model of a halogen-bridged metal complex chain to the Takayama-Lin-Liu-Maki continuum model of polyacetylene and using a supersymmetric functional integral formalism, the authors study the influence of both 'site' and 'bond' disorder on the nature of the ground state of this halogen-bridged metal complex PtI. They find exact results for the amplitude of the order parameter Delta and the electronic density of states as a function of the strength of the disorder. They also obtain a phase diagram of Delta versus both bond and site disorder. The critical concentration of site impurities versus average impurity scattering strength gives a fractal dimension which is very close to that of the two-dimensional Sierpinski gasket.