Pseudogap in $S{r}_{2-x}L{a}_{x}Ir{O}_4$: Gor'kov-Teitel'baum thermal activation model

Recently, Hall effect measurements are done on Lanthanum doped Strontium Iridate $S{r}_{2-x}L{a}_{x}Ir{O}_4$ which is 5d analogue of cuprates \cite{hsu2023carrier}. Hall effect measurements show that the effective carrier density $n_H$ exhibits a crossover from $n_H\sim x$ to $n_H\sim 1+x$ near $x\simeq 0.16$ . This is very similar to that found in cuprates around $p\simeq 0.19$. It is proposed that a pseudogap (PG) state in $S{r}_{2-x}L{a}_{x}Ir{O}_4$ exists and is ending at $x\simeq 0.16$ \cite{hsu2023carrier}. However, PG boundary (in doping-temperature phase diagram) remains unknown. In this work, we apply a very successfull the Gor’kov-Teitel’baum Thermal Activation (GTTA) model to $S{r}_{2-x}L{a}_{x}Ir{O}_4$ and obtain its PG phase boundary and draw an updated phase diagram. Our results agree with previously known signatures of PG phase in this system \cite{seo2017infrared,de2015collapse}. Using results from GTTA model we also obtain the evolution of “Fermi arcs” in this system as a function %of both doping and temperature for doping concentration $x\simeq 0.08$ which are in qualitative agreement with the reported results.