Understanding the flat band in 1T-TaS2 using a rotated basis

preprint2021arXivOpen access

Abstract

Electronic flat bands serve as a unique platform to achieve strongly-correlated phases. The emergence of a flat band around the Fermi level in 1T-TaS2_2 in accompany with the development of a 13×13\sqrt{13}\times\sqrt{13} charge density wave (CDW) superlattice has long been noticed experimentally, but a transparent theoretical understanding remains elusive. We show that without CDW, the primary feature of the 1×11\times1 bands can be fitted by a simple trigonometric function, and physically understood by choosing a rotated t~2g\tilde{t}_{2g} basis with the principle axes aligning to the tilted TaS6_6 octahedron. Using this basis, we trace the band evolution in the 13×13\sqrt{13}\times\sqrt{13} superlattice by progressively including different CDW effects. We point out that CDW strongly rehybridizes the three t~2g\tilde{t}_{2g} orbitals, which leads to the formation of a well-localized molecular orbital and spawns the flat band.

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