Exact nematic and mixed magnetic phases driven by competing orders on the pyrochlore lattice

arXiv:2510.23704 · cond-mat.str-el, cond-mat.stat-mech · Submitted 2025-10-27 · Read on arXiv

cond-mat.str-el, cond-mat.stat-mech

Submitted: 2025-10-27

Updated: 2026-09-23

Terminology

• Degeneracy — 24× in this paper · explained in 3 episodes
• First-Order Transition — 10× in this paper · explained in 2 episodes
• Phase Transitions — 8× in this paper · explained in 2 episodes
• Frustration — 7× in this paper · explained in 2 episodes
• Universality Class — 6× in this paper · explained in 2 episodes
• Symmetry Breaking — 3× in this paper · explained in 3 episodes
• Effective Hamiltonian — 2× in this paper · explained in 2 episodes
• Abundance — 1× in this paper · explained in 1 episode
• Anisotropy — 1× in this paper · explained in 3 episodes
• Monte Carlo Analysis — 1× in this paper · explained in 2 episodes
• Robustness — 1× in this paper · explained in 5 episodes
• Spectral Signature — 1× in this paper · explained in 2 episodes

Sources

• Pyrochlore antiferromagnet with antisymmetric exchange interactions: critical behavior and order from disorder
• Fragmented Spin Liquid and Shadow Pinch Points in Dipole-Octupole Pyrochlore Spin Systems
• An Atlas of Classical Pyrochlore Spin Liquids
• Geometrically Frustrated Quadrupoles on the Pyrochlore Lattice and Generalized Spin Liquids
• Universal temperature-dependent power law excitation gaps in frustrated quantum spin systems harboring order-by-disorder
• Finite-Size Spectral Signatures of Order by Quantum Disorder: A Perspective from Anderson's Tower of States
• Mapping the Phase Diagram of a Frustrated Magnet: Degeneracies, Flat Bands, and Canting Cycles on the Pyrochlore Lattice

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