Rich unconventional Hall effects in a single quasi-kagome Kondo Weyl semimetal candidate Ce${}_3$TiSb${}_5$

It is generally believed that electronic correlation, geometric frustration, and topology, $\mathit{\text{individually}}$, can facilitate the emergence of various intriguing properties that have attracted a broad audience for both fundamental research and potential applications. Here, we report a series of unconventional Hall effects observed in a $\mathit{\text{single}}$ compound - quasi-kagome Kondo Weyl semimetal candidate Ce${}_3$TiSb${}_5$. In the paramagnetic phase, signature of dynamic $c$-$f$ hybridization is revealed by a reduction of anomalous Hall effect and is connected to frustration-promoted incoherent Kondo scattering. A large topological Hall effect exceeding 0.2 $\mu \mathrm{\Omega }\cdot$cm is found at low temperatures, which should be ascribed to the non-collinear magnetic texture. In addition, a peculiar loop-shaped Hall effect with switching chirality is also seen, which is inferred to be associated with magnetic domain walls that pin history-dependent spin chirality and / or Fermi-arc surface states projected from the in-gap Weyl nodes. These exotic results place Ce${}_3$TiSb${}_5$ in a regime of highly-frustrated antiferromagnetic dense Kondo lattice with a nontrivial topology on an ``extended" global phase diagram, and highlight the interplay among electronic correlation, geometric frustration and topology.