Series expansion analysis of a tetrahedral cluster spin chain

Abstract

Using series expansion by continuous unitary transformations we study the magnetic properties of a frustrated tetrahedral spin-1/2 chain. Starting from the limit of isolated tetrahedra we analyze the evolution of the ground state energy and the elementary triplet dispersion as a function of the inter-tetrahedral coupling. The quantum phase diagram is evaluated and is shown to incorporate a singlet product, a dimer, and a Haldane phase. Comparison of our results with those from several other techniques, such as density matrix renormalization group, exact diagonalization and bond-operator theory are provided and convincing agreement is found.

arXiv comment6 pages, 5 figures, 1 table

References in corpus (20)

• Perturbation Theory by Flow Equations: Dimerized and Frustrated S=1/2 Chain
• Finite-lattice extrapolations for a Haldane gap antiferromagnet
• Numerical Study of the $S=1$ Antiferrromagnetic Spin Chain with Bond Alternation
• Flow equations for band--matrices
• Evidence for an unconventional magnetic instability in the spin-tetrahedra system Cu_2Te_2O_5Br_2
• Longitudinal magnon in the tetrahedral spin system Cu2Te2O5Br2 near quantum criticality
• Magnetism of a tetrahedral cluster spin-chain
• High Order Perturbation Theory for Spectral Densities of Multi-Particle Excitations: S=1/2 Two-Leg Heisenberg Ladder
• Halogen-mediated exchange in the coupled-tetrahedra quantum spin systems Cu2Te2O5X2 (X=Br,Cl)
• Investigation of the oxohalogenide Cu4Te5O12Cl4 with weakly coupled Cu(II) tetrahedra
• Two-dimensional quantum antiferromagnets
• Incommensurate magnetic ordering in $C{u}_{2}T{e}_2{O}_5{X}_2$ (X=Cl,Br) studied by neutron diffraction
• Spin dynamics of a tetrahedral cluster magnet
• Low-temperature properties of the spin-1 antiferromagnetic Heisenberg chain with bond-alternation
• Low-lying excitations and magnetization process of coupled tetrahedral systems
• Magnetic Raman scattering of the ordered tetrahedral spin-1/2 clusters in Cu_2Te_2O_5(Br_(1-x)Cl_x)_2 compounds
• Weak antiferromagnetism and dimer order in quantum systems of coupled tetrahedra
• Ground state order and spin-lattice coupling in tetrahedral spin systems Cu2Te2O5X2
• Distribution of exchange energy in a bond-alternating S=1 quantum spin chain
• Neutron inelastic scattering investigation of the magnetic excitations in Cu_2Te_2O_5X_2 (X=Br, Cl)

Cited by in corpus (7)

• Quantum Phases of the Planar Antiferromagnetic J_1-J_2-J_3 Heisenberg-Model
• Quantum phase diagram of a frustrated antiferromagnet on the bilayer honeycomb lattice
• Series Expansion Analysis of a Frustrated Four-Spin-Tube
• Excitation Spectrum of One-dimensional Extended Ionic Hubbard Model
• Frustrated antiferromagnetic spin chains of edge-sharing tetrahedra in volcanic minerals K3Cu3(Fe0.82Al0.18)O2(SO4)4 and K4Cu4O2(SO4)4MeCl
• Quantum phases of a frustrated four-leg spin tube
• Nematic quantum phases in the bilayer honeycomb antiferromagnet