Quantum spin dynamics of the axial antiferromagnetic spin-$\frac{1}{2}$ XXZ chain in a longitudinal magnetic field

Local spin dynamics near quantum critical line of spin- $1/2$ antiferromagnetic Heisenberg XXZ chain with longitudinal magnetic fieldLocal spin dynamics near quantum critical line of spin-$1/2$ antiferromagnetic Heisenberg XXZ chain with longitudinal magnetic field

Wang Yang, Jianda Wu, Congjun Wu

Bulletin of the American Physical SocietyMar 6, 20150 citations

High-field spin dynamics of antiferromagnetic quantum spin chains

M. Enderle, L. P. Régnault, C. Broholm +5 more

Physica B Condensed MatterMar 1, 20006 citations

Confinement of spinons in the XXZ spin- 12 chain in presence of a transverse magnetic field

S. B. Rutkevich

We study the tuning effect of a transverse magnetic field on the confinement of spinons in the infinite XXZ spin-1/2 chain. The spinon confinement in this model takes place in the gapped antiferromagnetic phase upon application of a staggered longitudinal magnetic field. The tuning transverse magnetic field has mutually orthogonal uniform and staggered components. The energy spectra of the two-spinon bound states (the ``mesons'') in the confinement regime are analytically calculated in this model using two different perturbative schemes. The first one applies in the extreme anisotropic (Ising) limit and employs the inverse anisotropy constant as a small parameter. The second perturbative scheme, which applies at any anisotropy in the gapped antiferromagnetic domain, exploits the integrability of the XXZ spin chain at zero magnetic field. The small parameters in the second technique are the components of the transverse, and staggered longitudinal magnetic fields. It is shown that the weak transverse magnetic field mixes the transverse and longitudinal meson modes, and leads to an avoided crossing of their energies upon increase of its strength. The explicit formulas for the two-spinon contribution to the dynamical structure factors of local spin operators are obtained as well in this model in the weak confinement regime for wave vectors close to the points $k=0$ and $\ensuremath{\pi}$.We study the tuning effect of a transverse magnetic field on the confinement of spinons in the infinite XXZ spin-1/2 chain. The spinon confinement in this model takes place in the gapped antiferromagnetic phase upon application of a staggered longitudinal magnetic field. The tuning transverse magnetic field has mutually orthogonal uniform and staggered components. The energy spectra of the two-spinon bound states (the ``mesons'') in the confinement regime are analytically calculated in this model using two different perturbative schemes. The first one applies in the extreme anisotropic (Ising) limit and employs the inverse anisotropy constant as a small parameter. The second perturbative scheme, which applies at any anisotropy in the gapped antiferromagnetic domain, exploits the integrability of the XXZ spin chain at zero magnetic field. The small parameters in the second technique are the components of the transverse, and staggered longitudinal magnetic fields. It is shown that the weak transverse magnetic field mixes the transverse and longitudinal meson modes, and leads to an avoided crossing of their energies upon increase of its strength. The explicit formulas for the two-spinon contribution to the dynamical structure factors of local spin operators are obtained as well in this model in the weak confinement regime for wave vectors close to the points $k=0$ and $\ensuremath{\pi}$.

arXiv:2307.08328Physical review. B./Physical review. BJan 12, 20242 citations

Spin dynamics on S=1/2 spin chains in a magnetic field

Mitsuhiro Arikawa

素粒子論研究Jan 1, 20060 citations

Spinon confinement in the gapped antiferromagnetic XXZ spin- 12 chain

S. B. Rutkevich

The infinite Heisenberg XXZ spin- $\frac{1}{2}$ chain in the gapped antiferromagnetic regime has two degenerate vacua and kink topological excitations (which are also called spinons) interpolating between these vacua as elementary excitations. Application of an arbitrary weak staggered longitudinal magnetic field $h$ induces a long-range attractive potential between two adjacent spinons leading to their confinement into ``meson'' bound states. Exploiting the integrability of the XXZ model in the deconfined phase $h=0$ , we perform perturbative calculations of the energy spectra of the two-spinon bound states in the weak confinement regime at $h\ensuremath{\rightarrow}+0$, using the strength of the staggered magnetic field $h$ as a small parameter. Both transverse and longitudinal dynamical structure factors of the local spin operators are calculated as well in the two-spinon approximation in the weak confinement regime to the leading order in $h$ .The infinite Heisenberg XXZ spin-$\frac{1}{2}$ chain in the gapped antiferromagnetic regime has two degenerate vacua and kink topological excitations (which are also called spinons) interpolating between these vacua as elementary excitations. Application of an arbitrary weak staggered longitudinal magnetic field $h$ induces a long-range attractive potential between two adjacent spinons leading to their confinement into ``meson'' bound states. Exploiting the integrability of the XXZ model in the deconfined phase $h=0$, we perform perturbative calculations of the energy spectra of the two-spinon bound states in the weak confinement regime at $h\ensuremath{\rightarrow}+0$, using the strength of the staggered magnetic field $h$ as a small parameter. Both transverse and longitudinal dynamical structure factors of the local spin operators are calculated as well in the two-spinon approximation in the weak confinement regime to the leading order in $h$.

arXiv:2207.12215Physical review. B./Physical review. BOct 7, 20228 citations

Spin dynamics in critical regime of the spin- 1 / 2 XXZ chain

Wang Yang, Jianda Wu, Congjun Wu

Bulletin of the American Physical SocietyMar 14, 20160 citations

Quantum spin dynamics of the axial antiferromagnetic spin-

\frac{1}{2}

XXZ chain in a longitudinal magnetic field

Local spin dynamics near quantum critical line of spin-

1/2

antiferromagnetic Heisenberg XXZ chain with longitudinal magnetic field

k=0

and $\ensuremath{\pi}$.

The infinite Heisenberg XXZ spin-

\frac{1}{2}

chain in the gapped antiferromagnetic regime has two degenerate vacua and kink topological excitations (which are also called spinons) interpolating between these vacua as elementary excitations. Application of an arbitrary weak staggered longitudinal magnetic field

h

induces a long-range attractive potential between two adjacent spinons leading to their confinement into ``meson'' bound states. Exploiting the integrability of the XXZ model in the deconfined phase

h=0

, we perform perturbative calculations of the energy spectra of the two-spinon bound states in the weak confinement regime at $h\ensuremath{\rightarrow}+0$, using the strength of the staggered magnetic field

h

as a small parameter. Both transverse and longitudinal dynamical structure factors of the local spin operators are calculated as well in the two-spinon approximation in the weak confinement regime to the leading order in

h