Densities of States, Moments, and Maximally Broken Time-Reversal Symmetry

Abstract

Power moments, modified moments, and optimized moments are powerful tools for solving microscopic models of macroscopic systems; however the expansion of the density of states as a continued fraction does not converge to the macroscopic limit point-wise in energy with increasing numbers of moments. In this work the moment problem is further constrained by minimal lifetimes or maximal breaking of time-reversal symmetry, to yield approximate densities of states with point-wise macroscopic limits. This is applied numerically to models with one and two finite bands with various singularities, as well as to a model with infinite band-width, and the results are compared with the maximum entropy approximation where possible.

arXiv commentAccepted for publication in Physical Review B

References in corpus (2)

• A Convergent Method for Calculating the Properties of Many Interacting Electrons
• Classical Localization of an Unbound Particle in a Two-Dimensional Periodic Potential and Surface Diffusion

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• Approximating Densities of States with Gaps