Magnetic properties of alternating Hubbard ladders

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  • Universität Tunis El Manar
  • University of California at Davis
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OriginalspracheEnglisch
Aufsatznummer165127
FachzeitschriftPhysical Review B
Jahrgang103
Ausgabenummer16
PublikationsstatusVeröffentlicht - 22 Apr. 2021

Abstract

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.

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Magnetic properties of alternating Hubbard ladders. / Essalah, Kaouther; Benali, Ali; Abdelwahab, Anas et al.
in: Physical Review B, Jahrgang 103, Nr. 16, 165127, 22.04.2021.

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

Essalah K, Benali A, Abdelwahab A, Jeckelmann E, Scalettar RT. Magnetic properties of alternating Hubbard ladders. Physical Review B. 2021 Apr 22;103(16):165127. doi: 10.1103/PhysRevB.103.165127
Essalah, Kaouther ; Benali, Ali ; Abdelwahab, Anas et al. / Magnetic properties of alternating Hubbard ladders. in: Physical Review B. 2021 ; Jahrgang 103, Nr. 16.
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AU - Benali, Ali

AU - Abdelwahab, Anas

AU - Jeckelmann, Eric

AU - Scalettar, Richard T.

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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.

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