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By calculating orbitally resolved Pauli susceptibilities within maximallylocalized Wannier orbital basis transformed from first principles bandstructures, we find that magnetism in Fe$_{1+x}$Te still has its itinerantorigin even without Fermi surface nesting, provided orbital modulation ofparticle-hole excitations are considered. This leads to strong magneticinstabilities at wave vector (0,$\pi$)/($\pi$,0) in d$_{xz}$/d$_{yz}$ orbitalsthat are responsible for the bicollinear antiferromagnetic state as extraelectrons donated from excess Fe are considered. Magnetic exchange couplingbetween excess Fe and in-plane Fe further stabilizes the bicollinearantiferromagnetic order. Our results reveal that magnetism andsuperconductivity in iron chalcogenides may have different orbital origin, asPauli susceptibilities of different orbitals evolve differently as a functionof concentration of excess Fe and height of the chalcogen atom measured fromthe iron plane.

Hidden $(\pi,0)$ instability as an itinerant origin of bicollinear antiferromagnetism in Fe$_{1+x}$Te