Table 1 Lowest excitation gap on hexagonal clusters.

From: Gapless quantum spin liquid in a honeycomb Γ magnet

ϑ/π

Phases

Lowest excitation gap

  

N = 18

N = 24

N = 32

0.40

Zigzag

–

0.63943681

0.73353505

0.50

QSL

0.08821080

0.08656249

0.04009844

0.60

QSL

0.19543027

0.13898662

0.08599835

0.80

Stripy

–

0.22834260

0.24451198

  1. The lowest excitation gap at ϑ = 0.40π, 0.50π, 0.60π, and 0.80π on hexagon clusters of N = 18, 24, and 32. For the zigzag/stripy phase the lowest excitation gap is Δ2, while for the intermediate region the lowest excitation gap is Δ1.
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