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Ground-state phase structure of the spin-1/2 anisotropic planar pyrochlore
1School of Physics and Astronomy, Schuster Building, The University of Manchester, Manchester, M13 9PL, UK.
This study investigates the ground-state properties of a spin-1/2 anisotropic planar pyrochlore system using the coupled cluster method. It reveals the complete ground-state phase diagram for the J1-J2 model on a checkerboard lattice.
Area of Science:
- Condensed Matter Physics
- Quantum Magnetism
- Computational Physics
Background:
- Investigating the ground-state (GS) properties of quantum spin systems is crucial for understanding emergent phenomena.
- The spin-1/2 anisotropic planar pyrochlore lattice with competing interactions presents a complex many-body problem.
Purpose of the Study:
- To determine the zero-temperature ground-state phase diagram of the spin-1/2 J1-J2 model on a checkerboard lattice.
- To calculate the ground-state energy and local magnetization.
- To analyze the susceptibility towards crossed-dimer valence-bond crystalline (CDVBC) ordering.
Main Methods:
- Coupled Cluster Method (CCM) implemented to high orders of approximation.
- Utilizing antiferromagnetic classical ground states as CCM model states.
- Systematic variation of the frustration parameter k≡J2/J1 and exchange coupling signs.
Main Results:
- The complete ground-state phase diagram is mapped for arbitrary frustration parameter k and coupling signs.
- Ground-state energy and average local on-site magnetization are calculated.
- Susceptibility to CDVBC ordering is evaluated for specific configurations.
Conclusions:
- The study provides a comprehensive understanding of the ground-state phases in this anisotropic pyrochlore system.
- CCM offers a robust approach for studying complex quantum magnetic models.
- The interplay between J1 and J2 interactions dictates the emergent magnetic order and potential valence-bond phases.
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