Interplay of flat electronic bands with Holstein phonons

Feng, Chunhan; Scalettar, Richard T.

doi:10.1103/physrevb.102.235152

Interplay of flat electronic bands with Holstein phonons

Journal Article · Wed Dec 23 00:00:00 EST 2020 · Physical Review. B

DOI:https://doi.org/10.1103/physrevb.102.235152· OSTI ID:1851969

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Univ. of California, Davis, CA (United States); OSTI
Univ. of California, Davis, CA (United States)

Existing quantum Monte Carlo studies have investigated the properties of fermions on a Lieb (CuO₂) lattice interacting with on-site or near-neighbor electron-electron coupling. Attention has focused on the interplay of such interactions with the macroscopic degeneracy of local zero-energy modes, from which Bloch states can be formed to produce a flat band in which energy is independent of momentum. The resulting high density of states, in combination with the Stoner criterion, suggests that there should be pronounced instabilities to ordered phases. Indeed, a theorem by Lieb rigorously establishes the existence of ferrimagnetic order. Here we study the charge density wave phases induced by electron-phonon coupling on the Lieb lattice, as opposed to previous work on electron-electron interactions. Our key result is the demonstration of charge density wave phases at one third and two thirds fillings, characterized by long-range density-density correlations between doubly occupied sites on the minority or majority sublattices, and an accompanying gap. Our team also computes the transition temperature to the ordered phase as a function of the electron-phonon coupling.

View Accepted Manuscript (DOE)

Research Organization:: University of California, Davis, CA (United States)

Sponsoring Organization:: USDOE Office of Science (SC)

Grant/Contract Number:: SC0014671

OSTI ID:: 1851969

Journal Information:: Physical Review. B, Journal Name: Physical Review. B Journal Issue: 23 Vol. 102; ISSN 2469-9950

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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