Frustration-induced quantum phase transitions in a quasi-one-dimensional ferrimagnet: Hard-core boson map and the Ton ks-Girardeau limit

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dc.creatorFilho, R. R. Montenegro
dc.creatorCoutinho-Filho, M. D.
dc.date2008-07-25
dc.date.accessioned2026-07-07T09:52:58Z
dc.date.available2026-07-07T09:52:58Z
dc.descriptionWe 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.
dc.identifierhttps://arxiv.org/abs/0807.4153
dc.identifierhttp://arxiv.org/abs/0807.4153
dc.identifierPhys. Rev. B 78, 014418 (2008)
dc.identifierdoi:10.1103/PhysRevB.78.014418
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/165789
dc.subjectStrongly Correlated Electrons
dc.subjectStatistical Mechanics
dc.titleFrustration-induced quantum phase transitions in a quasi-one-dimensional ferrimagnet: Hard-core boson map and the Ton ks-Girardeau limit
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