Symmetry, Disorder and Transport Through Altermagnetic Quantum Dots and Their Antiferromagnetic Twins

Altermagnetic crystals resemble antiferromagnets in that they have no macroscopic magnetization, but unlike antiferromagnets they exhibit spin-split band structures. Here the transport properties of altermagnetic quantum dots and their antiferromagnetic twins are explored theoretically with the help of Landauer-Buttiker theory, symmetry considerations and tight-binding models. The influence of the symmetries of the quantum dots, their parent crystal lattices, their shapes and edges, lead arrangements and disorder on the anomalous Hall effect, the spin-Hall effect and spin filtering by the quantum dots are investigated.