Study on the correlation properties in the three-qubit spin chain of Heisenberg XYZ model

We study effects of magnetic field in z direction, spin–orbit interaction, coupling constant and temperature on correlations of a three-qubit Heisenberg XYZ system. We show that the magnetic field can reduce quantum correlations while spin–orbit interaction can increase them. Our findings show that quantum correlations can increase when the magnetic field and spin–orbit interaction are in the same direction. As the temperature increases, the death of bipartite negativity (N) and tripartite negativity ( \(N^3\) $N^3$ ) can occur. In some points, as temperature increases the local quantum uncertainty (LQ), the tripartite correlations ( \(\tau \) $\tau$ ) and \(N^3\) $N^3$ increase more than initial their values, which is interesting.