Beyond Kitaev physics in strong spin-orbit coupled magnets

Area of Science:

• Condensed Matter Physics
• Quantum Materials Science

Background:

• Kitaev materials exhibit exotic quantum phenomena, including spin liquids.
• Strong spin-orbit coupling is crucial for realizing Kitaev physics in real materials.

Purpose of the Study:

• To review advances and challenges in strong spin-orbit coupled Kitaev materials.
• To explore physics beyond the exactly-solvable Kitaev spin liquid point.
• To provide a comprehensive overview of key exchange interactions in candidate materials.

Main Methods:

• Focus on systems with effective spin-1/2 magnetic moments (e.g., 5d5 iridates, 4d5 ruthenates, 3d7 cobaltates).
• Analysis of microscopic origins of exchange interactions.
• Mapping of correlated regimes in multi-dimensional parameter space using symmetry, duality, analytical, and numerical studies.

Main Results:

• Detailed examination of candidate materials like iridates, ruthenates, and cobaltates.
• Insights into the microscopic origins and parameter space of Kitaev interactions.
• Survey of higher spin and quasi-one-dimensional Kitaev models and their relevance.

Conclusions:

• The field is advancing rapidly, with ongoing challenges in understanding complex interactions.
• Further research into higher spin and lower-dimensional models is crucial.
• Identifying key questions and future directions for Kitaev material research.