Long-range order and quantum criticality in antiferromagnetic chains with long-range staggered interactions

We study quantum phase transitions in Heisenberg antiferromagnetic chains with a staggered power-law decaying long-range interactions. Employing the density-matrix renormalization group (DMRG) algorithm and the fidelity susceptibility as the criticality measure, we establish more accurate values of quantum critical points than the results obtained from the spin-wave approximation, quantum Monte Carlo, and DMRG in literatures. The deviation is especially evident for strong long-range interactions. We extend isotropic long-range interactions to the anisotropic cases and find that kaleidoscope of quantum phases emerge from the interplay of anisotropy of the long-range exchange interaction and symmetry breaking. We demonstrate nonfrustrating long-range interactions induce the true long-range order in Heisenberg antiferromagnetic chains with a continuous symmetry breaking, lifting the restrictions imposed by the Mermin-Wagner theorem.

Automated summary

In this study, we investigate quantum phase transitions in Heisenberg antiferromagnetic chains with staggered power-law decaying long-range interactions. By using the density-matrix renormalization group (DMRG) algorithm and the fidelity susceptibility as the criticality measure, we obtain more accurate values of quantum critical points compared to previous studies. Furthermore, we explore the effects of anisotropic long-range interactions and symmetry breaking, which result in the emergence of various quantum phases.