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Geometrically frustrated anisotropic four-leg spin-1/2 nanotube

Journal article
Authors Rouhollah Jafari
S. Mahdavifar
A. Akbari
Published in Journal of Physics-Condensed Matter
Volume 31
Issue 49
ISSN 0953-8984
Publication year 2019
Published at Department of Physics (GU)
Language en
Keywords renormalization, quantum phase transition, spin nanotube, real-space renormalization, quantum, ladder, state, Physics
Subject categories Condensed Matter Physics


We develop a real space quantum renormalization group (QRG) to explore a frustrated anisotropic four-leg spin-1/2 nanotube in the thermodynamic limit. We obtain the phase diagram, fixed points, critical points, the scaling of coupling constants and magnetization curves. Our investigation points out that, in the case of strong leg coupling, the diagonal frustrating interaction is marginal under QRG transformations and does not affect the universality class of the model. Remarkably, the renormalization equations express that the spin nanotube prepared in the strong leg coupling case goes to the strong plaquette coupling limit (weakly interacting plaquettes). Subsequently, in the limit of weakly interacting plaquettes, the model is mapped onto a 1D spin-1/2 XXZ chain in a longitudinal magnetic field under QRG transformation. Furthermore, the effective Hamiltonian of the spin nanotube inspires both first and second order phase transitions accompanied by the fractional magnetization plateaus. Our results show that the anisotropy changes the magnetization curve and the phase transition points, significantly. Finally, we report the numerical exact diagonalization results to compare the ground state phase diagram with our analytical visions.

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