Wither the sliding Luttinger liquid phase in the planar pyrochlore

Abstract

Using series expansion based on the flow equation method we study the zero temperature properties of the spin-1/2 planar pyrochlore antiferromagnet in the limit of strong diagonal coupling. Starting from the limit of decoupled crossed dimers we analyze the evolution of the ground state energy and the elementary triplet excitations in terms of two coupling constants describing the inter dimer exchange. In the limit of weakly coupled spin-1/2 chains we find that the fully frustrated inter chain coupling is critical, forcing a dimer phase which adiabatically connects to the state of isolated dimers. This result is consistent with findings by O. Starykh, A. Furusaki and L. Balents (Phys. Rev. B 72, 094416 (2005)) which is inconsistent with a two-dimensional sliding Luttinger liquid phase at finite inter chain coupling.

6 pages, 4 Postscript figures, 1 table

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• Spin dynamics of a tetrahedral cluster magnet
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• Thermodynamics of the Antiferromagnetic Heisenberg Model on the Checkerboard Lattice
• Quantum phase diagram of a frustrated antiferromagnet on the bilayer honeycomb lattice
• Series Expansion Analysis of a Frustrated Four-Spin-Tube
• A frustrated spin-1/2 Heisenberg antiferromagnet on a chevron-square lattice
• Phase diagram of J1-J2 transverse field Ising model on the checkerboard lattice: a plaquette-operator approach
• Quantum phases of a frustrated four-leg spin tube
• Nematic quantum phases in the bilayer honeycomb antiferromagnet
• Ground-state phase structure of the spin-$\frac{1}{2}$ anisotropic planar pyrochlore
• A frustrated spin-1 $J_1$--$J_2$ Heisenberg antiferromagnet: An anisotropic planar pyrochlore model