Magnetic properties of alternating Hubbard ladders

• Published in: Physical review. B 2021-04, Vol.103 (16), Article 165127
• Main Authors: Essalah, Kaouther, Benali, Ali, Abdelwahab, Anas, Jeckelmann, Eric, Scalettar, Richard T.
• Format: Article
• Language: English
• Subjects: Charge density; CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; Density matrix renormalization group; Ferrimagnetism; Hubbard model; Ladders; Long range order; Magnetic order; Magnetic properties; Magnetism; Materials Science; Physics; Spin liquid; Strongly correlated systems
• ISSN: 2469-9950; 2469-9969
• DOI: 10.1103/PhysRevB.103.165127

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.