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The origin of diverse nematicity and their order parameters in Fe-basedsuperconductors have been attracting increasing attention. Recently, a new typeof nematic order has been discovered in heavily hole-doped ($n_d=5.5$) compoundAFe$_2$As$_2$ (A=Cs, Rb). The discovered nematicity has $B_{2g}$ (=$d_{xy}$)symmetry, rotated by $45^\circ$ from the $B_{1g}$ (=$d_{x^2-y^2}$) nematicityin usual compounds with $n_d\approx6$. We predict that the "nematic bondorder", which is the symmetry-breaking of the correlated hopping, isresponsible for the $B_{2g}$ nematic order in AFe$_2$As$_2$. The Dirac pocketsin AFe$_2$As$_2$ is essential to stabilize the $B_{2g}$ bond order. Both$B_{1g}$ and $B_{2g}$ nematicity in A$_{1-x}$Ba$_x$Fe$_2$As$_2$ are naturallyinduced by the Aslamazov-Larkin many-body process, which describes thespin-fluctuation-driven charge instability. The present study gives a greathint to control the nature of charge nematicity by modifying the orbitalcharacter and the topology of the Fermi surface.

Origin of diverse nematic orders in Fe-based superconductors: 45$^\circ$ rotated nematicity in AFe$_2$As$_2$ (A=Cs, Rb)