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Order parameter symmetry: biaxial vs. twinned uniaxial nature of the Q1 super-lattice order

Determine whether the Q1 translational symmetry breaking with Q=(δ1,0,0) observed in PrBa2Cu3O7 and partially Pr-substituted YBa2Cu3O7 corresponds to a biaxial order or to a twinned uniaxial order, by resolving the order parameter symmetry beyond current diffraction limitations.

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Background

Based on the average Pmmm crystal structure and the observed Q=(δ1,0,0) modulation, symmetry analysis allows several subspace groups (orthorhombic Pmmm, Pmm2, and monoclinic P2/m, Pm) for either biaxial or twinned uniaxial ordering, all involving in-plane Pr distortion modes. This structural classification is crucial to differentiating the microscopic nature of the Q1 super-lattice.

The authors explicitly state that, with their present diffraction data, they cannot distinguish between a biaxial and a twinned uniaxial configuration, highlighting the need for further experimental resolution or complementary probes to pin down the symmetry of the Q1 order.

References

From our diffraction data, it is not possible to differentiate bi-axial and twinned uniaxial orderings.

Differentiation of Site-Specific Symmetry Breaking Orders in Y$_{1-x}$Pr$_x$Ba$_2$Cu$_3$O$_{6+y}$ (2507.20640 - Martinelli et al., 28 Jul 2025) in Discussion, Section 4