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Magnon Crystallization in the Kagome Lattice Antiferromagnet
Jürgen Schnack1, Jörg Schulenburg2, Andreas Honecker3
1Fakultät für Physik, Universität Bielefeld, Postfach 100131, D-33501 Bielefeld, Germany.
Physical Review Letters
|September 25, 2020
Summary
We found evidence of magnon crystallization in frustrated magnets at nonzero temperatures. This phenomenon arises from localized magnons forming flatband states, offering experimental guidance for observing this magnetic phase transition.
Area of Science:
- Condensed matter physics
- Quantum magnetism
- Frustrated magnetic systems
Background:
- Highly frustrated spin-half kagome Heisenberg antiferromagnets exhibit complex magnetic behaviors.
- Understanding magnetic phase transitions at nonzero temperatures is crucial for materials science.
Purpose of the Study:
- To provide numerical evidence for magnon crystallization in a specific magnetic system.
- To identify the underlying mechanism (localized magnons/flatband states) driving this transition.
- To map out the phase diagram for experimental observation.
Main Methods:
- Numerical simulations of the spin-half kagome Heisenberg antiferromagnet.
- Analysis of magnon behavior at nonzero temperatures and varying magnetic fields.
- Development of a loop-gas model for localized magnons.
Main Results:
- Crystallization of magnons observed below the saturation field at nonzero temperatures.
- Localized magnons and flatband multimagnon states identified as the cause.
- A phase diagram detailing the conditions for magnon crystallization was established.
Conclusions:
- Magnon crystallization is a key phenomenon in frustrated magnets.
- Flatband multimagnon states breaking translational symmetry are crucial.
- This transition is expected to be generic in D>1 spin models with flatband ground states.
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