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We study the magnetic susceptibility, magnetization, resistivity and thermalconductivity of intermetallic HoAgGe single crystals at low temperatures and inmagnetic fields along the $a$ and $c$ axis, while the electric and heatcurrents are along the $c$ axis. The magnetization curves show a series ofmetamagnetic transitions and small hysteresis at low field for $B \parallel a$,and a weak metamagnetic transition for $B \parallel c$, respectively. Both themagnetic susceptibility and $\rho(T)$ curve show anomalies at theantiferromagnetic transition ($T\rm_N \sim$ 11.3 K) and spin reorientationtransition ($\sim$ 7 K). In zero field and at very low temperatures, theelectrons are found to be the main heat carriers. For $B \parallel a$, the$\rho(B)$ curves display large and positive transverse magnetoresistance (MR)with extraordinary field dependence between $B^2$ and $B$-linear, accompaniedwith anomalies at the metamagnetic transitions and low-field hysteresis;meanwhile, the $\kappa(B)$ mainly decrease with increasing field and displaysome anomalies at the metamagnetic transitions. For $B \parallel c$, there isweak and negative longitudinal MR while the $\kappa(B)$ show rather strongfield dependence, indicating the role of phonon heat transport.

Low-temperature transport properties of intermetallic compound HoAgGe with kagome spin ice state