Spinon confinement is key to the understanding of quantized excitation spectra in quasi-one-dimensional $S$ = \textonehalf{} spin systems. The authors investigate the quantization of the excitation continuum in quasi-one-dimensional $S=1$ antiferromagnetic spin systems with single-ion anisotropy $D$ . When $D$ 0, the magnon continuum is quantized by the interchain interactions. This is due to magnon confinement. The present study suggests the possibility for observation of quantized spectra in many $S=1$ antiferromagnetic spin-chain compounds.Spinon confinement is key to the understanding of quantized excitation spectra in quasi-one-dimensional $S$ = \textonehalf{} spin systems. The authors investigate the quantization of the excitation continuum in quasi-one-dimensional $S=1$ antiferromagnetic spin systems with single-ion anisotropy $D$. When $D$ 0, the magnon continuum is quantized by the interchain interactions. This is due to magnon confinement. The present study suggests the possibility for observation of quantized spectra in many $S=1$ antiferromagnetic spin-chain compounds.

arXiv:1808.06270Physical review. B./Physical review. BNov 21, 201812 citations

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

Takafumi Suzuki, Sei-ichiro Suga

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 $ΔS=2$ 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 $ΔS=2$ excitation spectra originate from the confinement of two domain walls, each of which carries $ΔS=1$ . The quantized excitation energies are explained by the negative zeros in the Airy function.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 $ΔS=2$ 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 $ΔS=2$ excitation spectra originate from the confinement of two domain walls, each of which carries $ΔS=1$. The quantized excitation energies are explained by the negative zeros in the Airy function.

arXiv:1902.05169Journal of the Physical Society of JapanApr 10, 20191 citation

Quasi-bound states of two magnons in the XXZ spin chain

Mahito Kohmoto, Tohru Koma, Yoshifumi Morita

APSMar 1, 19960 citations

Spinon confinement is key to the understanding of quantized excitation spectra in quasi-one-dimensional

S

= \textonehalf{} spin systems. The authors investigate the quantization of the excitation continuum in quasi-one-dimensional

S=1

antiferromagnetic spin systems with single-ion anisotropy

D

. When

D

0, the magnon continuum is quantized by the interchain interactions. This is due to magnon confinement. The present study suggests the possibility for observation of quantized spectra in many

S=1

antiferromagnetic spin-chain compounds.

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

ΔS=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

ΔS=2

excitation spectra originate from the confinement of two domain walls, each of which carries

ΔS=1

. The quantized excitation energies are explained by the negative zeros in the Airy function.