Multitude of topological phase transitions in bipartite dice and Lieb lattices with interacting electrons and Rashba coupling

Soni, Rahul; Sanyal, Amit Bikram; Kaushal, Nitin; Okamoto, Satoshi; Moreo, Adriana; Dagotto, Elbio R.

doi:10.1103/physrevb.104.235115

Multitude of topological phase transitions in bipartite dice and Lieb lattices with interacting electrons and Rashba coupling

Journal Article · Tue Dec 07 00:00:00 EST 2021 · Physical Review B

DOI:https://doi.org/10.1103/physrevb.104.235115· OSTI ID:1835194

^[1]; Sanyal, Amit Bikram ^[2]; ^[3]; ^[3]; ^[1]; Dagotto, Elbio R. ^[1]

Univ. of Tennessee, Knoxville, TN (United States); Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
Univ. of Tennessee, Knoxville, TN (United States)
Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)

We report the results of a Hartree-Fock study applied to interacting electrons moving in two different bipartite lattices: the dice and the Lieb lattices, at half-filling. Both lattices develop ferrimagnetic order in the phase diagram U-λ, where U is the Hubbard on-site repulsion and λ is the Rashba spin-orbit coupling strength. Our main result is the observation of an unexpected multitude of topological phases for both lattices. All these phases are ferrimagnetic, but they differ among themselves in their set of six Chern numbers (six numbers because the unit cells have three atoms). Here, the Chern numbers |C| observed in our study range from 0 to 3, showing that large Chern numbers can be obtained by the effect of electronic correlations, adding to the recently discussed methodologies to increase |C| based on extending the hopping range in tight-binding models, using sudden quenches, or photonic crystals, all without including electronic interactions.

View Accepted Manuscript (DOE)

Research Organization:: Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES)

Grant/Contract Number:: AC05-00OR22725

OSTI ID:: 1835194

Journal Information:: Physical Review B, Journal Name: Physical Review B Journal Issue: 23 Vol. 104; ISSN 2469-9950

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Multitude of topological phase transitions in bipartite dice and Lieb lattices with interacting electrons and Rashba coupling

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