Magnetic properties of alternating Hubbard ladders
Abstract
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.
- Authors:
-
- University of Tunis El-Manar (Tunisia)
- Leibniz University, Hannover (Germany)
- Univ. of California, Davis, CA (United States)
- Publication Date:
- Research Org.:
- Univ. of California, Davis, CA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC)
- OSTI Identifier:
- 1851970
- Grant/Contract Number:
- SC0014671
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review. B
- Additional Journal Information:
- Journal Volume: 103; Journal Issue: 16; Journal ID: ISSN 2469-9950
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; Materials Science; Physics; Ferrimagnetism; Magnetic order; Magnetism; Strongly correlated systems; Density matrix renormalization group; Hubbard model
Citation Formats
Essalah, Kaouther, Benali, Ali, Abdelwahab, Anas, Jeckelmann, Eric, and Scalettar, Richard T. Magnetic properties of alternating Hubbard ladders. United States: N. p., 2021.
Web. doi:10.1103/physrevb.103.165127.
Essalah, Kaouther, Benali, Ali, Abdelwahab, Anas, Jeckelmann, Eric, & Scalettar, Richard T. Magnetic properties of alternating Hubbard ladders. United States. https://doi.org/10.1103/physrevb.103.165127
Essalah, Kaouther, Benali, Ali, Abdelwahab, Anas, Jeckelmann, Eric, and Scalettar, Richard T. Thu .
"Magnetic properties of alternating Hubbard ladders". United States. https://doi.org/10.1103/physrevb.103.165127. https://www.osti.gov/servlets/purl/1851970.
@article{osti_1851970,
title = {Magnetic properties of alternating Hubbard ladders},
author = {Essalah, Kaouther and Benali, Ali and Abdelwahab, Anas and Jeckelmann, Eric and Scalettar, Richard T.},
abstractNote = {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.},
doi = {10.1103/physrevb.103.165127},
journal = {Physical Review. B},
number = 16,
volume = 103,
place = {United States},
year = {Thu Apr 22 00:00:00 EDT 2021},
month = {Thu Apr 22 00:00:00 EDT 2021}
}
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