Spindynamics in the antiferromagnetic phases of the Dirac metals $A$MnBi$_2$ ($A=$ Sr, Ca)
Marein C. Rahn, Andrew J. Princep, Andrea Piovano, Jiri Kulda, Yanfeng, Guo, Youguo Shi, Andrew T. Boothroyd

TL;DR
This study measures and models the spin-wave spectra in antiferromagnetic Dirac metal compounds $A$MnBi$_2$ ($A=$ Sr, Ca), finding magnetic dynamics unaffected by Dirac fermions and providing detailed exchange parameters.
Contribution
It provides the first detailed experimental and theoretical analysis of spin dynamics in $A$MnBi$_2$, revealing magnetic interactions independent of Dirac fermion effects.
Findings
Spin gaps of approximately 8-10 meV observed.
Magnon dispersion accurately modeled by linear spin-wave theory.
No detectable influence of Dirac fermions on magnetic dynamics.
Abstract
The square Bi layers in MnBi ( Sr, Ca) host Dirac fermions which coexist with antiferromagnetic order on the Mn sublattice below K (Sr) and K (Ca). We have measured the spin-wave dispersion in these materials by triple-axis neutron spectroscopy. The spectra show pronounced spin gaps of 10.2(2)meV (Sr) and 8.3(8)meV (Ca) and extend to a maximum energy transfer of 61 - 63meV. The observed spectra can be accurately reproduced by linear spin-wave theory from an Heisenberg effective spin Hamiltonian. Detailed global fits of the full magnon dispersion are used to determine the in-plane and inter-layer exchange parameters as well as on the magnetocrystalline anisotropy constant. To within experimental error we find no evidence that the magnetic dynamics are influenced by the Dirac fermions.
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