Dynamical spin correlations in Heisenberg ladder under magnetic field and correlation functions in SO(5) ladder

Abstract

The zero-temperature dynamical spin-spin correlation functions are calculated for the spin-1/2 two-leg Heisenberg ladder in a magnetic field above the lower critical field Hc1. The dynamical structure factors are calculated which exhibit both massless and massive excitations. These modes appear in different sectors characterized by the parity in the rung direction and by the momentum in the direction of the chains. The structure factors have power-law singularities at the lower edges of their support. The results are also applicable to spin-1 Heisenberg chain. The implications are briefly discussed for various correlation functions and the pi-resonance in the SO(5) symmetric ladder model.

15 pages, 6 figures, added references; final version to appear in Phys. Rev. B

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• Quantum criticalities in a two-leg antiferromagnetic S=1/2 ladder induced by a staggered magnetic field
• Dichotomy between Attractive and Repulsive Tomonaga-Luttinger Liquids in Spin Ladders
• Critical properties and Bose Einstein Condensation in dimer spin systems
• Low-energy behavior of the spin-tube and spin-orbital models
• Dynamics of an anisotropic Haldane antiferromagnet in strong magnetic field
• Haldane-gap chains in a magnetic field
• ESR modes in a Strong-Leg Ladder in the Tomonaga-Luttinger Liquid Phase
• Incommensurate state in a quasi-one-dimensional $S=1/2$ bond-alternating antiferromagnet with frustration in magnetic fields
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• Magnetic field induced phase transitions in spin ladders with ferromagnetic legs
• Electron spin resonance in high-field critical phase of gapped spin chains
• Quench dynamics of spin-imbalanced Fermi-Hubbard model in one dimension
• N-leg integer-spin ladders and tubes in commensurate external fields -Nonlinear sigma model approach-
• Edge singularities in high-energy spectra of gapped one-dimensional magnets in strong magnetic fields
• Four-spin-exchange- and magnetic-field-induced chiral order in two-leg spin ladders
• Magnetic Phase Diagram of Spin-1/2 Two-Leg Ladder with Four-Spin Ring Exchange
• Breathers and Raman scattering in a two-leg ladder with staggered Dzialoshinskii-Moriya interaction
• Spin Ladder with Anisotropic Ferromagnetic Legs in a Transverse Magnetic Field
• Low-energy properties of two-leg spin-1 antiferromagnetic ladders with commensurate external fields and their extensions
• NMR relaxation of quantum spin chains in magnetic fields
• Local magnetic properties of periodic nonuniform spin-1/2 XX chains
• Magnetostriction in an array of spin chains under magnetic field
• Bosonic representation of spin operators in the field-induced critical phase of spin-1 Haldane chains
• Dynamical Structure Factors of the S=1/2 Bond-Alternating Spin Chain with a Next-Nearest-Neighbor Interaction in Magnetic Fields
• Resonating-valence-bond liquid in low dimensions