Magnetic properties of alternating Hubbard ladders

Essalah, Kaouther; Benali, Ali; Abdelwahab, Anas; Jeckelmann, Eric; Scalettar, Richard T.

doi:10.1103/physrevb.103.165127

Title: Magnetic properties of alternating Hubbard ladders

Journal Article · Thu Apr 22 00:00:00 EDT 2021 · Physical Review. B

DOI:https://doi.org/10.1103/physrevb.103.165127· OSTI ID:1851970

Essalah, Kaouther ^[1];

^[1];

^[2];

^[2]; Scalettar, Richard T. ^[3]

University of Tunis El-Manar (Tunisia)
Leibniz University, Hannover (Germany)
Univ. of California, Davis, CA (United States)

We explore the Hubbard Hamiltonian on ladders where the number of sites per rung alternates between two and three. These geometries are bipartite with nonequal or equal number of sites on the two sublattices. Thus they share a key feature of the Hubbard model in a class of lattices which Lieb has shown analytically to exhibit long-range ferrimagnetic order while being amenable to powerful numeric approaches developed for quasi-one-dimensional geometries. The density matrix renormalization group (DMRG) method is used to obtain the groundstate properties, e.g., excitation gaps, charge and spin densities as well as their correlation functions at half filling. We show the existence of long-range ferrimagnetic order in the one-dimensional ladder geometries. Our work provides detailed quantitative results which complement the general theorem of Lieb for generalized bipartite lattices. It also addresses the issue of how the alternation between quasi-long-range order and spin liquid behavior for uniform ladders with odd and even numbers of legs might be affected by a regular alternation pattern.

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

Sponsoring Organization:: USDOE Office of Science (SC)

Grant/Contract Number:: SC0014671

OSTI ID:: 1851970

Journal Information:: Physical Review. B, Vol. 103, Issue 16; ISSN 2469-9950

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Title: Magnetic properties of alternating Hubbard ladders

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