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Quantum phase transitions in the spin-1/2 XXZ model with staggered γ interaction
Physical Review. E
|February 20, 2025
Summary
The staggered DM interaction expands the XY phase, while KSEA interaction induces new phases and topological transitions in the spin-1/2 XXZ model. Quantum entanglement and Schmidt gap identify these distinct phases.
Area of Science:
- Condensed Matter Physics
- Quantum Magnetism
- Many-Body Systems
Background:
- The one-dimensional spin-1/2 XXZ model is a fundamental system in condensed matter physics.
- Understanding the effects of various interactions, such as Dzyaloshinskii-Moriya (DM) and Kitaev spin-liquid (KSEA) interactions, is crucial for predicting novel quantum phases.
- Investigating staggered interactions adds complexity and potential for new phenomena.
Purpose of the Study:
- To investigate the impact of staggered Dzyaloshinskii-Moriya (DM) and Kitaev spin-liquid (KSEA) interactions on the one-dimensional spin-1/2 XXZ model.
- To identify and characterize new quantum phases and transitions induced by these staggered interactions.
- To explore the role of quantum entanglement and topological properties in distinguishing these phases.
Main Methods:
- Utilizing the infinite-time evolving block decimation (iTEBD) method.
- Employing the infinite matrix product state (iMPS) representation.
- Analyzing entanglement entropy, Schmidt gap, von Neumann entropies, string correlation functions, and spin structure factors.
Main Results:
- Staggered DM interaction expands the existing XY phase without introducing new phases.
- Staggered KSEA interaction drives the system into nematic-ferromagnetic and dimer-Haldane phases, featuring deconfined quantum phase transitions.
- The dimer-Haldane phase exhibits a zero Schmidt gap on the even bond, signaling a topological phase, and distinct odd-bond and even-bond entanglement properties.
- Chiral and nematic orders indicate a helical magnetic structure induced by Gamma interaction.
- KSEA interaction inhibits ferromagnetism and disrupts the product state in the ferromagnetic phase, unlike DM interaction.
- Spin structure factor analysis successfully distinguishes between different magnetic phases.
Conclusions:
- Quantum entanglement and the Schmidt gap serve as effective probes for identifying degenerate ground states and topological phases in the presence of dimerization.
- The study reveals distinct behaviors of DM and KSEA interactions regarding ferromagnetism and phase stability.
- The findings provide a comprehensive understanding of phase transitions and magnetic structures in the spin-1/2 XXZ model under staggered interactions, with implications for designing novel quantum materials.
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