Exact Plaquette-Ordered Ground States with Exact Edge States of the Generalized Hubbard Model in Corner Sharing Lattices

Masaaki Nakamura; Naoto Nakatsuji; Satoshi Nishimoto

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Exact Plaquette-Ordered Ground States with Exact Edge States of the Generalized Hubbard Model in Corner Sharing Lattices

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arxiv 2008.11599 v1 pith:TSKRDGIG submitted 2020-08-25 cond-mat.str-el

Naoto Nakatsuji , Satoshi Nishimoto , Masaaki Nakamura This is my paper · ORCID

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keywords statesexactgroundlatticescorneredgegeneralizedhubbard

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We discuss exact plaquette-ordered ground states of the generalized Hubbard model based on the projection operator method for several corner sharing lattices: Kagome, checkerboard, and pyrochlore lattices. The obtained exact ground states are interpreted as N\'eel ordered states on the plaquette-located electrons. We demonstrate that these models also have exact edge states. We also calculate the entanglement entropy exactly in these systems.

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