Journal
PHYSICAL REVIEW B
Volume 83, Issue 21, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevB.83.212401
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Funding
- NSERC
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We present a comprehensive list of the ground-state energies and the spin gaps of finite Kagome clusters with up to 42 spins obtained using large-scale exact diagonalization techniques. This represents the current limit of this exact approach. For a fixed number of spins N, we study several cluster shapes under periodic boundary conditions in both directions resulting in a toroidal geometry. The clusters are characterized by their side length and diagonal as well as the shortest Manhattan diameter of the torii. A finite-size scaling analysis of the ground-state energy as well as the spin gap is then performed in terms of the shortest toroidal diameter as well as the shortest Manhattan diameter. The structure of the spin-spin correlations further supports the importance of short loops wrapping around the torii.
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