Quantum correlations in spin-1/2 XXZ chains with modulated magnetic fields and modulated Dzyaloshinskii-Moriya interaction

When a quantum system is in different phases of its ground state, due to correlations of quasiparticles reveals different values of quantum correlations (QCs). These values occur when a control parameter crosses a quantum critical point, displaying signals. For this reason, QCs as powerful tools are applied to detect quantum critical points. We here employ QCs to reexamine the ground-state phase diagram of a one-dimensional spin-1/2 XXZ model with spatially modulated Dzyaloshinskii-Moriya interaction in the presence of uniform and staggered fields. To consider the integrable Hamiltonian, i.e., the isotropic XY chain model, we use the fermionization approach. However, the non-integrable Hamiltonian, where the anisotropic parameter has a nonzero value, is investigated by Lanczos exact diagonalization and density matrix renormalization group (DMRG) methods. We show that QCs can detect quantum critical points. In addition, our results spontaneously disclose the value of QCs for different phases depending on interacting parameters.

Automated summary

In this study, quantum correlations (QCs) are used as powerful tools to detect quantum critical points. The ground-state phase diagram of a one-dimensional spin-1/2 XXZ model is reexamined using QCs, revealing different values for different phases.