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Flat bands and Dirac cones in breathing lattices
Karim Essafi1, L D C Jaubert2, M Udagawa3
1Okinawa Inst Sci and Technol, Onna, Okinawa 904 0495, Japan.
Summary
Breathing pyrochlores and kagomes exhibit unique physics. Their flat bands and Dirac nodes remain robust despite lattice anisotropy, revealing new ground states.
Area of Science:
- Condensed matter physics
- Quantum magnetism
- Topological materials
Background:
- Breathing lattices in pyrochlores and kagomes allow tunable interactions.
- These systems host complex magnetic phenomena and flat electronic bands.
Purpose of the Study:
- Investigate the impact of lattice anisotropy on pyrochlore and kagome systems.
- Analyze the stability of flat bands and the emergence of Dirac nodes.
- Determine the ground state properties of breathing kagome lattices.
Main Methods:
- Classical Heisenberg model simulations.
- Analysis of mode spectra.
- Investigation of particle-hole symmetry.
- Derivation of ground state properties.
Main Results:
- Lattice anisotropy preserves the nature and degeneracy of flat bands.
- Flat bands coexist with Dirac nodes under particle-hole symmetry.
- Breathing kagome lattices exhibit spontaneous chirality in specific magnetic configurations.
Conclusions:
- Breathing lattices offer a versatile platform for exploring novel quantum phenomena.
- The robustness of flat bands and Dirac nodes highlights potential for topological applications.
- Chirality in breathing kagome systems opens avenues for spintronic devices.
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