Quantized excitation spectra by magnon confinement in quasi-one-dimensional S=1 spin systems

Abstract

We apply the infinite time-evolving-block-decimation algorithm to calculate the dynamical spin-structure factors of the quasi-one-dimensional (q1D) S=1 antiferromagnetic spin system with the single-ion anisotropy and the bond alternation. We find that excitation continuum originating from magnons is quantized, when the staggered field induced by the weak inter-chain interaction is taken into account. The excitation energies of the quantized excitation spectra are well explained by negative zeros of the Airy functions, when the easy-axis anisotropy is strong and the ground state is located deep in the Néel phase. This quantization of the magnon continuum is a counterpart of the spinon confinement, which has been recently discussed in q1D S=1/2 antiferromagnets. We further show that, when the staggered field exists, the quantized excitation spectra appear the phase boundary between the Haldane phase and the Néel phase of the phase diagram without the staggered field. However, the quantized excitation spectra disappear in the singlet dimer phase.

arXiv comment8 pages, 5 figures

References in corpus (14)

• Real time evolution using the density matrix renormalization group
• Classical simulation of infinite-size quantum lattice systems in one spatial dimension
• Quantum criticality in an Ising chain: experimental evidence for emergent E8 symmetry
• The iTEBD algorithm beyond unitary evolution
• Topological quantum phase transition in the Ising-like antiferromagnetic spin chain BaCo${}_2$V${}_2$O${}_8$
• Infinite boundary conditions for matrix product state calculations
• Longitudinal and Transverse Zeeman Ladders in the Ising-Like Chain Antiferromagnet BaCo2V2O8
• Field Induced Magnetic Ordering and Single-ion Anisotropy in the Quasi-1D Haldane Chain Compound SrNi2V2O8: A Single Crystal investigation
• Excitation Spectrum of $S=1$ Antiferromagnetic Chains
• On the 3-particle scattering continuum in quasi one dimensional integer spin Heisenberg magnets
• The Three-Magnon Contribution to the Spin Correlation Function in Integer-Spin Antiferromagnetic Chains
• Low-Lying Excitations in the S=1 Antiferromagnetic Heisenberg Chain
• Dynamical structure factors of S=1 bond-alternating Heisenberg chains
• Field theory analysis of S=1 antiferromagnetic bond-alternating chains in the dimer phase

Cited by in corpus (10)

• Quasilocalized dynamics from confinement of quantum excitations
• Suppression of transport in non-disordered quantum spin chains due to confined excitations
• High-harmonic generation in one-dimensional Mott insulator
• Turning chiral skyrmion inside out
• Probing magnon dynamics and interactions in a ferromagnetic spin-1 chain
• Quenches and confinement in a Heisenberg-Ising spin ladder
• Confinement in the spectrum of a Heisenberg-Ising spin ladder
• Determining the anisotropy and exchange parameters of polycrystalline spin-1 magnets
• Magnetic properties of a staggered $S=1$ chain Ni(pym)(H${}_2$O)${}_2$(NO${}_3$)${}_2$ with an alternating single-ion anisotropy direction
• Quantized ΔS=2 Excitation Spectra by Confinement in an S=1 Spin Chain