Quantized ΔS=2 Excitation Spectra by Confinement in an S=1 Spin Chain

Abstract

We calculate the dynamical spin-structure factor of the $S=1$ Ising spin chain with negative single-ion anisotropy in magnetic fields using the infinite time-evolving-block-decimation algorithm. We show that when a transverse magnetic field is applied, both the $\Delta S=2$ excitation continuum and one-magnon mode appear in the low-lying excitation. When a longitudinal magnetic field is further applied, the excitation continuum changes into quantized excitation spectra. The quantized $\Delta S=2$ excitation spectra originate from the confinement of two domain walls, each of which carries $\Delta S=1$. The quantized excitation energies are explained by the negative zeros in the Airy function.

arXiv comment3 pages, 2 figures. Published version

References in corpus (12)

• 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
• 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
• Quantized excitation spectra by magnon confinement in quasi-one-dimensional S=1 spin systems
• Low-Lying Excitations in the S=1 Antiferromagnetic Heisenberg Chain

Cited by in corpus (1)

• Suppression of transport in non-disordered quantum spin chains due to confined excitations