Transition from Haldane Phase to Spin Liquid and Incommensurate Correlation in Spin-1/2 Heisenberg Chains

Abstract

The bulk properties and impurity effect in the one-dimensional S=1/2 Heisenberg model with dimerization and next-nearest-neighbor exchange are studied by the density matrix renormalization group (DMRG) and exact diagonalization methods. This model widely covers the S=1 Heisenberg model, two-leg ladders, bond-alternating chains and the S=1/2 Heisenberg model. Almost the whole parameter space belongs to the Haldane phase. In the non-dimerizing limit a transition to a kind of spin liquid takes place, characterized by the delocalized spin polarization. This transition causes the distinct impurity effects between a spin-Peierls compound CuGeO_{3} and the Haldane systems. Experimental aspects of a bond-alternating compound CuNb_{2}O_{6} are also discussed. Furthermore, the incommensurate correlation arising in this model is extensively studied, and a phase diagram is constructed.

Submitted to J. Phys. Soc. Jpn. 25 pages. 32 figures. Figs.13-32 (1.72MB) are available on request by E-mail or hard copy

References in corpus (6)

• Alternating Spin and Orbital Dimerization in Strong-coupling Two-band Models
• Double gap and solitonic excitations in the spin-Peierls chain CuGeO3
• Elementary Excitations in Dimerized and Frustrated Heisenberg Chains
• Soliton Approach to Spin-Peierls Antiferromagnets: Large-Scale Numerical Results
• Theoretical analysis of the experiments on the double-spin-chain compound -- KCuCl${}_3$
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• Magnetic Excitations of Spin-Gap System Na3Cu2SbO6 with Distorted Honeycomb Structure
• Fragility of Symmetry Protected Topological Order on a Hubbard Ladder
• Thermodynamics of spin-1/2 tetrameric Heisenberg antiferromagnetic chain
• $S$ = 1/2 ferromagnetic-antiferromagnetic alternating Heisenberg chain in a zinc-verdazyl complex
• Density-Matrix Renormalization-Group Analysis of Quantum Critical Points: I. Quantum Spin Chains
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• Commensurate and incommensurate correlations in Haldane gap antiferromagnets
• Spinon excitation and Möbius boundary condition in S=1/2 antiferromagnetic Heisenberg spin ladder with zigzag structure
• Experimental confirmation of spin gap in antiferromagnetic alternating spin-3/2 chain substances RCrGeO5 (R = Y or 154Sm) by inelastic neutron scattering experiments
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• Frustration effect on magnetic excitations in a two-leg spin-ladder system
• Spiral magnetic structure in spin-5/2 frustrated trimerized chains in SrMn3P4O14
• Absence of Edge Localized Moments in the Doped Spin-Peierls System CuGe${}_{1-x}$Si${}_x$O${}_3$
• Ground state properties of the bond alternating spin-$\frac{1}{2}$ anisotropic Heisenberg chain
• Magnetization process in a frustrated plaquette dimerized ladder
• Dynamical central peak and spinon deconfinement in frustrated spin chains
• Spin dynamics of the S=1/2 antiferromagnetic zig-zag ladder with anisotropy