Magnon crystallization in the kagome lattice antiferromagnet

Abstract

We present numerical evidence for the crystallization of magnons below the saturation field at non-zero temperatures for the highly frustrated spin-half kagome Heisenberg antiferromagnet. This phenomenon can be traced back to the existence of independent localized magnons or equivalently flat-band multi-magnon states. We present a loop-gas description of these localized magnons and a phase diagram of this transition, thus providing information for which magnetic fields and temperatures magnon crystallization can be observed experimentally. The emergence of a finite-temperature continuous transition to a magnon-crystal is expected to be generic for spin models in dimension $D>1$ where flat-band multi-magnon ground states break translational symmetry.

arXiv comment7 pages, 6 figures; replacement of v2, since supplement was not correctly attached

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• Electric field driven flat bands: Enhanced magnetoelectric and electrocaloric effects in frustrated quantum magnets
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• Chiral and flat-band magnetic cluster excitations in a ferromagnetic kagome metal
• Colorful points in the XY regime of XXZ quantum magnets
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• Accuracy of the typicality approach using Chebyshev polynomials
• Stability of the 1/3 magnetization plateau of the $J_1-J_2$ kagome Heisenberg model
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• Machine learning as an improved estimator for magnetization curve and spin gap
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• Valence Bond Crystal Ground State of the 1/9 Magnetization Plateau in the Spin-1/2 Kagome Lattice
• Magnetic properties of a capped kagome molecule with 60 quantum spins
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