Ground state of a two dimensional quasiperiodic antiferromagnet
A. Jagannathan
TL;DR
This paper investigates the ground state properties of a two-dimensional quasiperiodic antiferromagnet, revealing long-range order and inhomogeneous local moments through a generalized renormalization approach.
Contribution
It extends a real space renormalization scheme to analyze the ground state of a 2D quasiperiodic antiferromagnet, providing new insights into its energy and local correlations.
Findings
Ground state exhibits long-range order
Distribution of local moments is inhomogeneous
Ground state energy and correlations characterized
Abstract
We consider the spin 1/2 Heisenberg antiferromagnet on a two dimensional quasiperiodic tiling. The T=0 state is long range ordered, with an inhomogeneous distribution of the staggered moment. An approximate real space renormalization scheme first developed for the square lattice is generalized and used to obtain information on the ground state energy as well as the distribution of local correlations in the quasicrystal.
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