Table 2 Critical disorder strength \(w_c\) and exponents \(\nu\), \(\zeta\) for different initial conditions (\(\theta ,\phi\)) for the quantities, square of total angular momentum operator \(\left\langle J^2 \right\rangle\) and von Neumann entropy \(S_{N/2}\) at \(k=1\), \(p=\pi /2\).

From: Chaos controlled and disorder driven phase transitions induced by breaking permutation symmetry

Quantity

\(w_c\)

\(\nu\)

\(\zeta\)

\(J^2\) \((\theta =2.25\), \(\phi =1.1)\)

\(2.11 \pm 0.06\)

\(0.52 \pm 0.06\)

\(0.57 \pm 0.09\)

\(J^2 (\theta =\pi /2,\phi =-0.56)\)

\(2.31 \pm 0.05\)

\(0.56 \pm 0.03\)

\(0.61 \pm 0.02\)

\(J^2 (\theta =\pi /2, \phi =1.9)\)

\(1.1 \pm 0.09\)

\(0.54 \pm 0.01\)

\(0.64 \pm 0.06\)

\(S_{N/2} (\theta =2.25, \phi =1.1)\)

\(1.93 \pm 0.06\)

\(0.60 \pm 0.06\)

\(0.68 \pm 0.07\)