J. T. Chalker

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Statistical properties of eigenvectors in non-Hermitian random matrix ensembles are discussed, with an emphasis on correlations between left and right eigenvectors. Two approaches are described. One is an exact calculation for Ginibre's ensemble, in which each matrix element is an independent, identically distributed Gaussian complex random variable. The(More)
A single model is presented which represents both of the two apparently unrelated localisation problems of the title. The phase diagram of this model is examined using scaling ideas and numerical simulations. It is argued that the localisation length in a spin-degenerate Landau level diverges at two distinct energies, with the same critical behaviour as in(More)
We study spectral properties of the Fokker-Planck operator that describes particles diffusing in a quenched random velocity field. This random operator is non-Hermitian and has eigenvalues occupying a finite area in the complex plane. We calculate the eigenvalue density and averaged one-particle Green's function, compare our results with numerical(More)
We show numerically that the "deconfined" quantum critical point between the Néel antiferromagnet and the columnar valence-bond solid, for a square lattice of spin 1/2, has an emergent SO(5) symmetry. This symmetry allows the Néel vector and the valence-bond solid order parameter to be rotated into each other. It is a remarkable (2+1)-dimensional analogue(More)
  • T J Sluckin, David Dunmur, Tim Sluckin, J Sluckin, D A Dunmur, H Stegemeyer +146 others
  • 2015
Publications listed by type; in each section most recent first. BOOKS 1. Soap, science and flat screen TV's: A history of liquid crystals. (b) Japanese translation/edition, translated by K. Toriyama with extra chapters by the 3. Crystals that flow: classic papers from the history of liquid crystals Compiled with commentary and translation by T. BOOK-LENGTH(More)
[4] F. J. Burnell. Correlated parity measurements as a probe of non-abelian statistics in 1d superconducting wires. Exactly soluble model of a 3d symmetry protected topological phase of bosons with surface topological order. Phys. Phase transitions in three-dimensional topological lattice models with surface anyons. Three-dimensional topological lattice(More)
We investigate the consequences for geometrically frustrated antiferromagnets of weak disorder in the strength of exchange interactions. Taking as a model the classical Heisenberg antiferromagnet with nearest neighbor exchange on the pyrochlore lattice, we examine low-temperature behavior. We show that spatial modulation of exchange generates long-range(More)
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