Fig. 11: Valley Hall response for trigonal strain.
From: Quantized valley Hall response from local bulk density variations
a Valley Hall response σV (blue points) obtained from averaging the local marker per cell \({\mathfrak{S}}({{{{{{{\bf{r}}}}}}}})={{\mathfrak{S}}}_{A}({{{{{{{\bf{r}}}}}}}})+{{\mathfrak{S}}}_{B}({{{{{{{\bf{r}}}}}}}})\) in a bulk region of size Lbulk = 5 a (a is the lattice parameter) as a function of the chemical potential μF. The gray shaded area shows the density of states projected onto the bulk region at the Fermi level ρbulk(μF). b, c The local density of states ρ(μF, r) along \({{{{{{{\bf{r}}}}}}}}={x}_{c}\hat{{{{{{{{\bf{x}}}}}}}}}+y\hat{{{{{{{{\bf{y}}}}}}}}}\) for μF = 0.52 t and μF = 0.7 t, respectively, indicated by black dashed lines in (a).
