Topological Mott insulator at quarter filling in the interacting Haldane model

Peizhi Mai, Benjamin E. Feldman, Philip W. Phillips

Research output: Contribution to journalArticlepeer-review

Abstract

While the recent advances in topology have led to a classification scheme for electronic bands described by the standard theory of metals, a similar scheme has not emerged for strongly correlated systems such as Mott insulators in which a partially filled band carries no current. By including interactions in the topologically nontrivial Haldane model, we show that a quarter-filled state emerges with a nonzero Chern number provided the interactions are sufficiently large. We first motivate this result on physical grounds and then by two methods: Analytically by solving exactly a model in which interactions are local in momentum space and then numerically through the corresponding Hubbard model. All methods yield the same result: For sufficiently large interaction strengths, the quarter-filled Haldane model is a ferromagnetic topological Mott insulator with a Chern number of unity. Possible experimental realizations in cold-atom and solid-state systems are discussed.

Original languageEnglish (US)
Article number013162
JournalPhysical Review Research
Volume5
Issue number1
DOIs
StatePublished - Jan 2023
Externally publishedYes

ASJC Scopus subject areas

  • General Physics and Astronomy

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