Details
| Original language | English |
|---|---|
| Article number | 165127 |
| Journal | Physical Review B |
| Volume | 103 |
| Issue number | 16 |
| Publication status | Published - 22 Apr 2021 |
Abstract
ASJC Scopus subject areas
- Materials Science(all)
- Electronic, Optical and Magnetic Materials
- Physics and Astronomy(all)
- Condensed Matter Physics
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In: Physical Review B, Vol. 103, No. 16, 165127, 22.04.2021.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Magnetic properties of alternating Hubbard ladders
AU - Essalah, Kaouther
AU - Benali, Ali
AU - Abdelwahab, Anas
AU - Jeckelmann, Eric
AU - Scalettar, Richard T.
N1 - Funding Information: The work of R.S. was supported by the grant DE-SC0014671 funded by the U.S. Department of Energy, Office of Science.
PY - 2021/4/22
Y1 - 2021/4/22
N2 - We investigate 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.
AB - We investigate 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.
UR - http://www.scopus.com/inward/record.url?scp=85105526199&partnerID=8YFLogxK
U2 - 10.1103/PhysRevB.103.165127
DO - 10.1103/PhysRevB.103.165127
M3 - Article
VL - 103
JO - Physical Review B
JF - Physical Review B
SN - 2469-9950
IS - 16
M1 - 165127
ER -