In semiconductor materials, the relationship between bandgap size and resistivity is not straightforward. While a larger bandgap does influence resistivity, particularly in relation to temperature changes, it does not directly correlate to higher resistivity in all cases. The conductivity, which is inversely related to resistivity, depends more on carrier concentration and mobility, which can be modified through doping. Additionally, the IV characteristics can illustrate differences in behavior between materials with varying bandgaps. Overall, the connection between bandgap and resistivity is complex and influenced by multiple factors.