Midgap States in Antiferromagnetic Heisenberg Chains with A Staggered Field

Abstract

We study low-energy excitations in antiferromagnetic Heisenberg chains with a staggered field which splits the spectrum into a longitudinal and a transverse branch. Bound states are found to exist inside the field induced gap in both branches. They originate from the edge effects and are inherent to spin-chain materials. The sine-Gordon scaling $h_s^{2/3}|\log h_s{|}^{1/6}$ ($h_s$: the staggered field) provides an accurate description for the gap and midgap energies in the transverse branch for $S=1/2$ and the midgap energies in both branches for $S=3/2$ over a wide range of magnetic field; however, it can fit other low-energy excitations only at much lower field. Moreover, the integer-spin S=1 chain displays scaling behavior that does not fit this scaling law. These results reveal intriguing features of magnetic excitations in spin-chain materials that deserve further investigation.

arXiv comment4 pages, 4figures

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Cited by in corpus (18)

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• Field-Induced Gap in a Quantum Spin-1/2 Chain in a Strong Magnetic Field
• Boundary Resonances in S = 1/2 Antiferromagnetic Chains under a Staggered Field
• Scaling behavior of the energy gap of spin-1/2 AF-Heisenberg chain in both uniform and staggered fields
• Phase diagram of the Cairo pentagonal XXZ spin-1/2 magnet under a magnetic field
• Dynamical Correlations of the Spin-1/2 Heisenberg XXZ Chain in a Staggered Field
• Dynamical properties of the sine-Gordon quantum spin magnet Cu-PM at zero and finite temperature
• Thermodynamic properties of quantum sine-Gordon spin chain system KCuGaF6
• Low-energy properties of anisotropic two-dimensional spin-1/2 Heisenberg models in staggered magnetic fields
• Mass-Imbalanced Ionic Hubbard Chain
• Quantum Supercritical Regime with Universal Magnetocaloric Scaling in Ising Magnets
• Quantum corrections of the Dzyaloshinskii-Moriya interaction on the spin-1/2 AF-Heisenberg chain in an uniform magnetic field
• Quantum spiral spin-tensor magnetism
• Antiferromagnetic Heisenberg ladders in a staggered magnetic field
• S=1/2 antiferromagnetic Heisenberg chain with staggered fields: Copper pyrimidine and copper benzoate using the density matrix renormalization group for transfer matrices
• Field-induced dimer orders in quantum spin chains
• Zero-temperature study of a tetrameric spin-$1/2$ chain in a transverse magnetic field