Data for Spectral and entanglement properties of the random exchange Heisenberg chain

Exact and sparse matrix diagonalization methods are used to calculate eigenvalues and eigenvectors of the Hamiltonian matrix. We investigate the behavior of the energy level gap-ratio statistic, participation ratio, entanglement entropy and the entanglement spectral parameter as a function of disorder strength.

Different distributions of random couplings are considered. We find, up to �=24, a clear distinction between our non-Abelian model and the more often studied random field Heisenberg model: the regime of seemingly localized behavior is much less pronounced in the random exchange model than in the field model case.<br><br>Dataset for Fig. 5, Fig.7, Fig. 8, Fig. 9, Fig. S3, Fig. S4, Fig. S5, Fig. S6 and Fig. S7 for the paper "Spectral and Entanglement Properties of the Random Exchange Heisenberg Chain".