Spinon excitation and Möbius boundary condition in S=1/2 antiferromagnetic Heisenberg spin ladder with zigzag structure
arXiv:cond-mat/0104101 · doi:10.1103/PhysRevB.64.212406
Abstract
We investigate the low-lying excitation of the antiferromagnetic zigzag spin ladder with Möbius boundary condition. Using the Lanczos and Householder diagonalization methods, we calculate the excitation spectrum of the zigzag ladder in the momentum space. We then show that the topological defect generated by the Möbius boundary provides the clear evidence of the single spinon excitation. On the basis of the obtained single-spinon dispersion curve, we analyze the two-spinon scattering states under the usual periodic boundary condition. We further discuss the interaction effect between the spinons, and the connection to the cusp singularity in the magnetization process.
arXiv comment4 pages, 5 figures
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- Topological order in Josephson junction ladders with Mobius boundary conditions
- Charge ordering in quarter-filled ladder systems coupled to the lattice
- Magnetization cusp singularities of frustrated Kondo necklace model
- Fractional S^z excitation and its bound state for the S=1/2 antiferromagnetic zigzag spin chain in a magnetic field
- A general CFT model for antiferromagnetic spin-1/2 ladders with Mobius boundary conditions
- Lifshitz Transition Induced by Magnetic Field in Frustrated Two-Leg Spin-Ladder Systems
- Matrix Product Wave Function of the Ground State and Elementary Excitation in the Spin-1/2 Chain