Interplay between magnetism and electronic structure in the quasi-kagome magnet HoAgGe

Kagome lattice magnets are an intresting class of materials that inherently allow a unique platform for the interplay between magnetism and electronic topology as they are one of the highly frustrated magnetic systems and also allow the simultaneous existence of topological flat bands and Dirac points. A kagome lattice consists of corner sharing equilateral triangles arranged forming a hexagonal pattern. In the RAgGe (R = rare earth element) compounds crystallizing in the ZrNiAl-type structure, the R atoms form the equilateral triangles similar to that in the kagome lattice, but these triangles are slightly rotated not making the prefect hexagonal ordering. Such a quasi-kagome lattice of the 4f electrons provides a platform for intresting physics, which was recently demonstrated by the discovery of the elusive spin-ice in HoAgGe. The spin-ice rules in this compound (one-in-two-out or two-in-one-out) are obeyed with increasing applied field along the b-axis, which leads to metamagnetic transitions in M_s/3 increments ( where M_s is the saturated magnetization). Here, we present the magnetotransport properties in the different magnetic states stablized the magnetic field in this material. We have found a significant effect of the magnetic structure on the Hall conductivity. We will discuss the Hall conductivity as a function of magnetic field and temperature providing the evidence of the interplay between the intriguing magnetism and the electronic structure in this compound.