Long-Range Order and Quantum Criticality in Antiferromagnetic Chains
with Long-Range Staggered Interactions
- URL: http://arxiv.org/abs/2203.11032v1
- Date: Mon, 21 Mar 2022 14:51:05 GMT
- Title: Long-Range Order and Quantum Criticality in Antiferromagnetic Chains
with Long-Range Staggered Interactions
- Authors: Jie Ren, Zhao Wang, Weixia Chen, and Wen-Long You
- Abstract summary: We study quantum phase transitions in Heisenberg antiferromagnetic chains with a staggered power-law decaying 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.
- Score: 3.758937314876195
- License: http://creativecommons.org/licenses/by/4.0/
- 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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