Bosonic representation of spin operators in the field-induced critical phase of spin-1 Haldane chains
arXiv:cond-mat/0605636 · doi:10.1088/1742-5468/2006/09/P09001
Abstract
A bosonized-field-theory representation of spin operators in the uniform-field-induced Tomonaga-Luttinger-liquid (TLL) phase in spin-1 Haldane chains is formulated by means of the non-Abelian (Tsvelik's Majorana fermion theory) and the Abelian bosonizations and Furusaki-Zhang technique [Phys. Rev. B {\bf 60}, 1175 (1999)]. It contains massive magnon fields as well as massless boson fields. From it, asymptotic forms of spin correlation functions in the TLL phase are completely determined. Applying the formula, we further discuss effects of perturbations (bond alternation, single-ion anisotropy terms, staggered fields, etc) for the TLL state, and the string order parameter. Throughout the paper, we often consider in some detail how the symmetry operations of the Haldane chains are translated in the low-energy effective theory.
arXiv comment31 pages (1 column), 1 figure, published version
References in corpus (28)
- Magnetization plateaus in spin chains: ``Haldane gap'' for half-integer spins
- Bosonization for Beginners --- Refermionization for Experts
- Exact expectation values of local fields in quantum sine-Gordon model
- Antiferromagnetic spin ladders: crossover between spin S = 1/2 and S = 1 chains
- Theory of the field-induced gap in antiferromagnetic chains
- On the Field-Induced Gap in Cu Benzoate and Other S=1/2 Antiferromagnets
- Cluster algorithms for general-S quantum spin systems
- Physical Meaning of the Affleck-Kennedy-Lieb-Tasaki S=1 Quantum spin chain
- Correlation Amplitudes for the spin-1/2 XXZ chain in a magnetic field
- Critical properties of the double-frequency sine-Gordon model with applications
- Equal Time Correlations in Haldane Gap Antiferromagnets
- Dynamical spin correlations in Heisenberg ladder under magnetic field and correlation functions in SO(5) ladder
- Haldane-Gapped Spin Chains as Luttinger Liquids: Correlation Functions at Finite Field
- Field-induced 3- and 2-dimensional freezing in a quantum spin liquid
- Massive triplet excitations in a magnetized anisotropic Haldane spin chain
- Quantum criticalities in a two-leg antiferromagnetic S=1/2 ladder induced by a staggered magnetic field
- Identification of topologically different valence bond states in spin ladders
- Luttinger liquid behavior in spin chains with a magnetic field
- High-field phase diagram of the Haldane-gap antiferromagnet
- The spin-1 ladder : A bosonization study
- Quasi-elastic neutron scattering in the high-field phase of a Haldane antiferromagnet
- Dynamics of an anisotropic Haldane antiferromagnet in strong magnetic field
- Tomonaga-Luttinger Liquid in a Quasi-One-Dimensional S=1 Antiferromagnet Observed by the Specific Heat
- Zeeman levels with exotic field dependence in the high field phase of a S=1 Heisenberg antiferromagnetic chain
- Haldane-gap chains in a magnetic field
- Commensurate and incommensurate correlations in Haldane gap antiferromagnets
- Field-induced commensurate long-range order in the Haldane-gap system NDMAZ
- Low-energy properties of two-leg spin-1 antiferromagnetic ladders with commensurate external fields and their extensions