Pyrochlore Antiferromagnet: A Three-Dimensional Quantum Spin Liquid
Benjamin Canals, Claudine Lacroix
TL;DR
This paper investigates the quantum pyrochlore antiferromagnet, revealing it as a three-dimensional quantum spin liquid with short-range correlations, a finite spin gap, and experimental agreement in neutron scattering data.
Contribution
It provides a detailed analysis of the ground state and excitations of the pyrochlore antiferromagnet using perturbative and numerical methods, establishing its spin-liquid nature.
Findings
Ground state is a spin-liquid with exponential decay of correlations
Magnetic neutron diffraction matches experimental data on Y(Sc)Mn2
Presence of a finite spin gap in low energy excitations
Abstract
The quantum pyrochlore antiferromagnet is studied by perturbative expansions and exact diagonalization of small clusters. We find that the ground state is a spin-liquid state: The spin-spin correlation functions decay exponentially with distance and the correlation length never exceeds the interatomic distance. The calculated magnetic neutron diffraction cross section is in very good agreement with experiments performed on Y(Sc)Mn2. The low energy excitations are singlet-singlet ones, with a finite spin gap.
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