2,755 research outputs found
Doped AB_2 Hubbard Chain: Spiral, Nagaoka and RVB States, Phase Separation and Luttinger Liquid Behavior
We present an extensive numerical study of the Hubbard model on the doped
AB chain, both in the weak coupling and the infinite-U limit. Due to the
special unit cell topology, this system displays a rich variety of phases as
function of hole doping () away from half-filling. Near half-filling,
spiral states develop in the weak coupling regime, while Nagaoka itinerant
ferromagnetism is observed in the infinite-U limit. For higher doping the
system phase-separates before reaching a Mott insulating phase of short-range
RVB states at . Moreover, for we observe a crossover,
which anticipates the Luttinger liquid behavior for .Comment: 11 pages, 13 figure
Frustration-induced quantum phase transitions in a quasi-one-dimensional ferrimagnet: Hard-core boson map and the Ton ks-Girardeau limit
We provide evidence of a superfluid-insulator transition (SIT) of magnons in
a quasi-one-dimensional quantum ferrimagnet with {\it isotropic} competing
antiferromagnetic spin interactions. This SIT occurs between two distinct
ferrimagnetic phases due to the frustration-induced closing of the gap to a
magnon excitation. It thus causes a coherent superposition of singlet and
triplet states at lattice unit cells and a power-law decay on the staggered
spin correlation function along the transverse direction to the spontaneous
magnetization. A hard-core boson map suggests that asymptotically close to the
SIT the magnons attain the Tonks-Girardeau limit. The quantized nature of the
condensed singlets is observed before a first-order transition to a singlet
magnetic spiral phase accompanied by critical antiferromagnetic ordering. In
the limit of strong frustration, the system undergoes a decoupling transition
to an isolated gapped two-leg ladder and a critical single linear chain
Magnetism and Electronic Correlations in Quasi-One-Dimensional Compounds
In this contribution on the celebration of the 80th birthday anniversary of
Prof. Ricardo Ferreira, we present a brief survey on the magnetism of
quasi-one-dimensional compounds. This has been a research area of intense
activity particularly since the first experimental announcements of magnetism
in organic and organometallic polymers in the mid 80s. We review experimental
and theoretical achievements on the field, featuring chain systems of
correlated electrons in a special AB2 unit cell structure present in inorganic
and organic compounds
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