191 citations · 229 across the 8 of their papers we have counts for
8 papers
Ground State Energies of Interacting Electrons from Projected Densities of Transitions
Roger Haydock
For interacting electrons in solids, Heisenberg's equation is used to calculate the distribution in energy of transitions induced by adding an electron to an atomic-like spin orbit…
Approximating Densities of States with Gaps
Roger Haydock, C. M. M. Nex
Reconstructing a density of states or similar distribution from moments or continued fractions is an important problem in calculating the electronic and vibrational structure of de…
Densities of States, Moments, and Maximally Broken Time-Reversal Symmetry
Roger Haydock, C. M. M. Nex
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…
Phase Diagram for Anderson Disorder: beyond Single-Parameter Scaling
Nigel Goldenfeld, Roger Haydock
The Anderson model for independent electrons in a disordered potential is transformed analytically and exactly to a basis of random extended states leading to a variant of augmente…
Vector Continued Fractions using a Generalised Inverse
Roger Haydock, C. M. M. Nex, Geoffrey Wexler
A real vector space combined with an inverse for vectors is sufficient to define a vector continued fraction whose parameters consist of vector shifts and changes of scale. The cho…
Analytic Trajectories for Mobility Edges in the Anderson Model
Wolfram T. Arnold, Roger Haydock
A basis of Bloch waves, distorted locally by the random potential, is introduced for electrons in the Anderson model. Matrix elements of the Hamiltonian between these distorted wav…
Classical Localization of an Unbound Particle in a Two-Dimensional Periodic Potential and Surface Diffusion
Roger Haydock
In periodic, two-dimensional potentials a classical particle might be expected to escape from any finite region if it has enough energy to escape from a single cell. However, for a…
A Convergent Method for Calculating the Properties of Many Interacting Electrons
Roger Haydock
A method is presented for calculating binding energies and other properties of extended interacting systems using the projected density of transitions (PDoT) which is the probabili…