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4 papers · 1 filter
Singular Vertices and the Triangulation Space of the D-sphere
S. Catterall, G. Thorleifsson, J. Kogut +1
By a sequence of numerical experiments we demonstrate that generic triangulations of the sphere for contain one {\it singular} simplex. The mean number of element…
Integer quantum Hall effect for hard-core bosons and a failure of bosonic Chern-Simons mean-field theories for electrons at half-filled Landau level
O. Heinonen, M. D. Johnson
Field-theoretical methods have been shown to be useful in constructing simple effective theories for two-dimensional (2D) systems. These effective theories are usually studied by p…
Baby Universes in 4d Dynamical Triangulation
S. Catterall J. Kogut, R. Renken, G. Thorleifsson
We measure numerically the distribution of baby universes in the crumpled phase of the dynamical triangulation model of 4d quantum gravity. The relevance of the results to the issu…
Ensemble density functional theory of the fractional quantum Hall effect
O. Heinonen, M. I. Lubin, M. D. Johnson
We develop an ensemble density functional theory for the fractional quantum Hall effect using a local density approximation. Model calculations for edge reconstructions of a spin-p…