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arXiv · 2203.11032

Long-Range Order and Quantum Criticality in Antiferromagnetic Chains with Long-Range Staggered Interactions

Jie Ren·Zhao Wang·Weixia Chen·Wen-Long You
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Abstract

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.

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Jie Ren, Zhao Wang, Weixia Chen, Wen-Long You. 2022-03-21. Long-Range Order and Quantum Criticality in Antiferromagnetic Chains with Long-Range Staggered Interactions. https://doi.org/10.1103/physreve.105.034128

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