Table 1 Hubbard model parameters for magnons in La2CuO4, CaCuO2 and SrCuO2 films

From: Magnon interactions in a moderately correlated Mott insulator

Sample

t [meV]

U [eV]

\(-t^{\prime} /t\)

\(-{t}^{\prime\prime}/{t}^{{\prime} }\)

U/t

\({\bar{Z}}_{c}\)

\(\Delta {Z}_{c}/{\bar{Z}}_{c}\)[%]

\({E}_{ZB}/E(\frac{1}{2},0)\)[%]

LCO/STO

408

3.38

0.4

0.5

8.33

1.45

11.6

18.9

LCO/SLAO

474.9

3.83

0.4

0.5

8.06

1.47

12.9

21.1

CCO17

498.7

3.39

0.42

0.5

6.80

1.89

57.3

40.1

SCO/NGO

425.6

2.66

0.4

0.5

6.25

1.91

64.5

47.3

  1. Nearest, next-nearest neighbor hopping integral t, \(t^{\prime}\), and Coulomb interaction U are obtained through self-consistently fitting the observed single magnon dispersion. Ratio between the next-next nearest hopping integral t and \(t^{\prime}\) was fixed to literature values33,54,55. Resulting electron correlation strength U/t is anti-correlated with the zone boundary dispersion ratio \({E}_{ZB}/E(\frac{1}{2},0)\), average (\({\bar{Z}}_{c}\)), and variation (\(\Delta {Z}_{c}=\max ({Z}_{c})-\min ({Z}_{c})\)) of Zc across the Brillouin zone.