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Updated: Sep 26, 2025
08:55
Methods of Ex Situ and In Situ Investigations of Structural Transformations: The Case of Crystallization of Metallic Glasses
Published on: June 7, 2018
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Long-range order and quantum criticality in antiferromagnetic chains with long-range staggered interactions
Jie Ren1, Zhao Wang1, Weixia Chen1
1Department of Physics, Changshu Institute of Technology, Changshu 215500, China.
Physical Review. E
|April 16, 2022
Summary
We precisely mapped quantum critical points in Heisenberg chains with long-range interactions using advanced DMRG methods. Our findings reveal new quantum phases and challenge the Mermin-Wagner theorem for these systems.
Area of Science:
- Condensed Matter Physics
- Quantum Many-Body Systems
- Statistical Mechanics
Background:
- Heisenberg antiferromagnetic chains are fundamental models in condensed matter physics.
- Long-range interactions significantly alter the behavior of quantum systems.
- Understanding quantum phase transitions is crucial for discovering novel quantum phases.
Purpose of the Study:
- To accurately determine quantum critical points in Heisenberg chains with staggered, power-law decaying long-range interactions.
- To investigate the emergence of quantum phases in anisotropic long-range interaction scenarios.
- To explore the role of nonfrustrating long-range interactions in stabilizing long-range order.
Main Methods:
- Density-Matrix Renormalization Group (DMRG) algorithm.
- Fidelity susceptibility as a measure of quantum criticality.
- Extension of isotropic models to anisotropic long-range interactions.
Main Results:
- More accurate quantum critical points than previous methods (spin-wave, QMC, literature DMRG).
- Significant deviations observed for strong long-range interactions.
- Emergence of diverse quantum phases due to anisotropy and symmetry breaking.
- Induction of true long-range order by nonfrustrating long-range interactions.
Conclusions:
- The study provides highly accurate quantum critical points for long-range interacting Heisenberg chains.
- Anisotropy in long-range interactions leads to a rich phase diagram with emergent quantum phases.
- Nonfrustrating long-range interactions can overcome Mermin-Wagner theorem limitations, enabling long-range order.
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