12 citations · 16 across the 2 of their papers we have counts for
6 papers
A densest compact planar packing with two sizes of discs
Tom Kennedy
We consider packings of the plane using discs of radius 1 and r=0.545151... . The value of r admits compact packings in which each hole in the packing is formed by three discs whic…
Expansions for Droplet States in the Ferromagnetic XXZ Heisenberg Chain
Tom Kennedy
We consider the highly anisotropic ferromagnetic spin 1/2 Heisenberg chain with periodic boundary conditions. In each sector of constant total z component of the spin, we develop c…
A faster implementation of the pivot algorithm for self-avoiding walks
Tom Kennedy
The pivot algorithm is a Markov Chain Monte Carlo algorithm for simulating the self-avoiding walk. At each iteration a pivot which produces a global change in the walk is proposed.…
Expansions for one quasiparticle states in spin 1/2 systems
Nilanjana Datta, Tom Kennedy
Convergent expansions of the wavefunctions for the ground state and low-lying excited states of quantum transverse Ising systems are obtained. These expansions are employed to prov…
Periodic Ground States in the Neutral Falicov-Kimball Model in Two Dimensions
Karl Haller, Tom Kennedy
We consider the Falicov-Kimball model in two dimensions in the neutral case, i.e, the number of mobile electrons is equal to the number of ions. For rational densities between 1/3…
Phase separation in the neutral Falicov-Kimball model
Tom Kennedy
The Falicov-Kimball model consists of spinless electrons and classical particles (ions) on a lattice. The electrons hop between nearest neighbor sites while the ions do not. We con…