Table 1 Numerical values of Jm/K extracted from the non-linear spin-wave theory (first row), and exact diagonalizations (last three rows)

From: Quantum spin liquid in the semiclassical regime

Spin S

1/2

1

3/2

2

5/2

3

7/2

4

9/2

5

NLSWT

0.000664

0.003722

0.009381

0.017415

0.027566

0.039597

0.053310

0.068535

0.085129

0.102969

ED (method 1)

0.002667

0.008068

0.016702

0.027916

0.041309

0.056579

0.073496

0.091869

0.111548

0.132408

ED (method 2–84 sites)

0.002765

0.008384

0.017487

0.029420

0.043764

0.060226

0.078561

0.098494

0.119947

0.142784

ED (method 2–180 sites)

0.002765

0.008384

0.017489

0.029418

0.043756

0.060212

0.078550

0.098457

0.119919

0.142785

  1. The results of the second row are obtained by comparing the energy of the ground-state flux sector, where κB R  = 1 for all R, with the energy of the sector with κB R  = −1 for all R. By contrast, the results of the last two rows are obtained from tori clusters with 84 and 180 sites, by comparing, in each case, the energy of the ground-state sector with the energy of the sector with a single flux (i.e., the sector with κB equal to −1 at a single empty hexagon and +1 elsewhere)
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