Abstract (EN):
We study the effect of diluting a two-dimensional ferromagnetic insulator hosting a topological phase in the clean limit. By considering the ferromagnetic Heisenberg model in the honeycomb lattice with second-nearestneighbor Dzyaloshinskii-Moriya interaction, and working in the linear spin-wave approximation, we establish the topological phase diagram as a function of the fraction p of diluted magnetic atoms. The topological phase with Chern number C = 1 is robust up to a moderate dilution p(1)(& lowast;), while above a higher dilution p & lowast;2 > p & lowast;1 the system becomes trivial. Interestingly, both p(2)(& lowast;) and p & lowast;2 are below the classical percolation threshold pc for the honeycomb lattice, which gives physical significance to the obtained phases. In the topological phase for p p(2)(& lowast;), when all states become localized, the system shows C = 0 as expected for a trivial phase. Replacing magnetic with nonmagnetic atoms in a system hosting a magnon Chern insulator in the clean limit puts all the three phases within experimental reach.
Language:
English
Type (Professor's evaluation):
Scientific
No. of pages:
10