arXiv:1907.11931 · Physical review. B./Physical review. B

Magnetization plateau of the S=2 antiferromagnetic Heisenberg chain with anisotropies

Tôru Sakai, Kiyomi Okamoto, Takashi Tonegawa

Published Aug 6, 2019• 8 citations

Abstract

We investigate the $S=2$ antiferromagnetic quantum spin chain with the exchange and single-ion anisotropies in a magnetic field, using the numerical exact diagonalization of finite-size clusters and the level spectroscopy analysis. It is found that a magnetization plateau possibly appears at half of the saturation magnetization for some suitable anisotropy parameters. The level spectroscopy analysis indicates that the 1/2 magnetization plateau is formed by two different mechanisms, depending on the anisotropy parameters. The phase diagram of the 1/2 plateau states and some typical magnetization curves are also presented. In addition, the biquadratic interaction is revealed to enhance the plateau induced by the Haldane mechanism.

DOI: 10.1103/physrevb.100.054407

Related papers

Translational symmetry broken magnetization plateau of the S=1 antiferromagnetic Heisenberg chain with competing anisotropies

Tôru Sakai, Kiyomi Okamoto, Kouichi Okunishi +4 more

arXiv:2311.07123Physical review. B./Physical review. BNov 22, 20235 citations

Translational-Symmetry-Broken Magnetization Plateaux of the S = 3/2 Anisotropic Antiferromagnetic Chain

Tomohide Kawatsu, Haruto Suzuki, Masaru Hashimoto +6 more

arXiv:2505.02113Journal of the Physical Society of JapanMay 11, 20253 citations

Translational Symmetry Broken Magnetization Plateau of the $S = 2$ Antiferromagnetic Chain with Anisotropies

Takaharu Yamada, Ryosuke Nakanishi, Rito Furuchi +5 more

arXiv:2208.10983International Conference on Low Temperature Physics (LT)May 22, 20232 citations

Magnetization plateau in an S= 32 antiferromagnetic Heisenberg chain with anisotropy

Tôru Sakai, Minoru Takahashi

arXiv:cond-mat/9710327Physical review. B, Condensed matterFeb 1, 199888 citations

Magnetization plateaux of the S = 5 / 2 antiferromagnetic chain with anisotropies

Tomoki Houda, Kiyomi Okamoto, Hiroki Nakano +1 more

Journal of Physics Condensed MatterOct 13, 20260 citations

S = 2 Quantum Spin Chain with the Biquadratic Exchange Interaction

Tôru Sakai, Takaharu Yamada, Ryosuke Nakanishi +5 more

arXiv:2205.07005Journal of the Physical Society of JapanJun 2, 20221 citation

arXiv:1907.11931 · Physical review. B./Physical review. B

Magnetization plateau of the S=2 antiferromagnetic Heisenberg chain with anisotropies

Tôru Sakai, Kiyomi Okamoto, Takashi Tonegawa

Published Aug 6, 2019• 8 citations

arXiv HTML PDF

Abstract

We investigate the

S=2

antiferromagnetic quantum spin chain with the exchange and single-ion anisotropies in a magnetic field, using the numerical exact diagonalization of finite-size clusters and the level spectroscopy analysis. It is found that a magnetization plateau possibly appears at half of the saturation magnetization for some suitable anisotropy parameters. The level spectroscopy analysis indicates that the 1/2 magnetization plateau is formed by two different mechanisms, depending on the anisotropy parameters. The phase diagram of the 1/2 plateau states and some typical magnetization curves are also presented. In addition, the biquadratic interaction is revealed to enhance the plateau induced by the Haldane mechanism.

DOI: 10.1103/physrevb.100.054407

Related papers

Translational symmetry broken magnetization plateau of the S=1 antiferromagnetic Heisenberg chain with competing anisotropies

Tôru Sakai, Kiyomi Okamoto, Kouichi Okunishi +4 more

We investigate the $S=1$ antiferromagnetic quantum spin chain with the exchange and single-ion anisotropies in a magnetic field, using numerical exact diagonalization of finite-size clusters, level spectroscopy analysis, and the density matrix renormalization group (DMRG). We find that a translational symmetry broken magnetization plateau possibly appears at the half of the saturation magnetization, when the anisotropies compete with each other. The level spectroscopy analysis gives the phase diagram at half the saturation magnetization. The DMRG calculation presents the magnetization curves for some typical parameters and clarifies the spin structure in the plateau phase.We investigate the $S=1$ antiferromagnetic quantum spin chain with the exchange and single-ion anisotropies in a magnetic field, using numerical exact diagonalization of finite-size clusters, level spectroscopy analysis, and the density matrix renormalization group (DMRG). We find that a translational symmetry broken magnetization plateau possibly appears at the half of the saturation magnetization, when the anisotropies compete with each other. The level spectroscopy analysis gives the phase diagram at half the saturation magnetization. The DMRG calculation presents the magnetization curves for some typical parameters and clarifies the spin structure in the plateau phase.

arXiv:2311.07123Physical review. B./Physical review. BNov 22, 20235 citations

Translational-Symmetry-Broken Magnetization Plateaux of the S = 3/2 Anisotropic Antiferromagnetic Chain

Tomohide Kawatsu, Haruto Suzuki, Masaru Hashimoto +6 more

The magnetization process of the $S=3/2$ quantum spin chain with the $XXZ$ anisotropy and the single-ion anisotropy $D$ is investigated using the numerical diagonalization of finite-size clusters and the level spectroscopy analysis. We obtain the phase diagrams at 1/3 and 2/3 of the saturation magnetization to find that the translational-symmetry-broken magnetization plateau appears for the first time. The similarity and the difference between the phase diagrams of the present model and the related models are discussed by use of the discrete parameters of the models. In addition several typical magnetization curves are presented.The magnetization process of the $S=3/2$ quantum spin chain with the $XXZ$ anisotropy and the single-ion anisotropy $D$ is investigated using the numerical diagonalization of finite-size clusters and the level spectroscopy analysis. We obtain the phase diagrams at 1/3 and 2/3 of the saturation magnetization to find that the translational-symmetry-broken magnetization plateau appears for the first time. The similarity and the difference between the phase diagrams of the present model and the related models are discussed by use of the discrete parameters of the models. In addition several typical magnetization curves are presented.

arXiv:2505.02113Journal of the Physical Society of JapanMay 11, 20253 citations

Translational Symmetry Broken Magnetization Plateau of the $S = 2$ Antiferromagnetic Chain with AnisotropiesTranslational Symmetry Broken Magnetization Plateau of the $S = 2$ Antiferromagnetic Chain with Anisotropies

Takaharu Yamada, Ryosuke Nakanishi, Rito Furuchi +5 more

The magnetization plateau of the S = 2 antiferromagnetic chain with interaction and singleion anisotropies is investigated using the numerical diagonalization of finite-size clusters and some size scaling analyses.The previous level spectroscopy analysis indicated that two different magnetization plateau phases appear at half of the saturation magnetization.One is due to the large-D mechanism and the other is due to the Haldane one.In the present study the phase diagram is extended to wider region of the anisotropies.As a result we find another half magnetization plateau phase, where the translational symmetry is spontaneously broken .The magnetization plateau of the S = 2 antiferromagnetic chain with interaction and singleion anisotropies is investigated using the numerical diagonalization of finite-size clusters and some size scaling analyses.The previous level spectroscopy analysis indicated that two different magnetization plateau phases appear at half of the saturation magnetization.One is due to the large-D mechanism and the other is due to the Haldane one.In the present study the phase diagram is extended to wider region of the anisotropies.As a result we find another half magnetization plateau phase, where the translational symmetry is spontaneously broken .

arXiv:2208.10983International Conference on Low Temperature Physics (LT)May 22, 20232 citations

Magnetization plateau in an S= 32 antiferromagnetic Heisenberg chain with anisotropy

Tôru Sakai, Minoru Takahashi

The magnetization process of the $S$ = $\frac{3}{2}$ antiferromagnetic Heisenberg chain with single-ion anisotropy $D$ at $T=0$ is investigated by the exact diagonalization of finite clusters and finite-size scaling analyses. It is found that a magnetization plateau appears at $m=$ $\frac{1}{2}$ for $D>{D}_{c}=0.93\ifmmode\pm\else\textpm\fi{}0.01$. The phase transition with respect to $D$ at ${D}_{c}$ is revealed to be of the Kosterlitz-Thouless type. The magnetization curve of the infinite system is also presented for some values of $D$ .The magnetization process of the $S$=$\frac{3}{2}$ antiferromagnetic Heisenberg chain with single-ion anisotropy $D$ at $T=0$ is investigated by the exact diagonalization of finite clusters and finite-size scaling analyses. It is found that a magnetization plateau appears at $m=$$\frac{1}{2}$ for $D>{D}_{c}=0.93\ifmmode\pm\else\textpm\fi{}0.01$. The phase transition with respect to $D$ at ${D}_{c}$ is revealed to be of the Kosterlitz-Thouless type. The magnetization curve of the infinite system is also presented for some values of $D$.

arXiv:cond-mat/9710327Physical review. B, Condensed matterFeb 1, 199888 citations

Magnetization plateaux of the S = 5 / 2 antiferromagnetic chain with anisotropies

Tomoki Houda, Kiyomi Okamoto, Hiroki Nakano +1 more

The magnetization process of theantiferromagnetic chain with coupling and single-ion anisotropies is investigated using numerical diagonalization of finite-size clusters and level spectroscopy analysis. Various magnetization plateaux are found at 1/5, 2/5, 3/5, and 4/5 of the saturation magnetization. plateaux without translational symmetry breaking are predicted to occur at 1/5 and 3/5 magnetization. A symmetry-protected topological plateau phase is found at 3/5 magnetization, but not at 1/5. In addition translational-symmetry-broken plateaux induced by large coupling anisotropy are found at 1/5, 2/5, 3/5, and 4/5 magnetization. Phase diagrams at 1/5, 2/5, 3/5, and 4/5 of the saturation magnetization are obtained. Magnetization curves for several representative anisotropies are also presented, together with the corresponding magnetic phase diagrams.The magnetization process of theantiferromagnetic chain with coupling and single-ion anisotropies is investigated using numerical diagonalization of finite-size clusters and level spectroscopy analysis. Various magnetization plateaux are found at 1/5, 2/5, 3/5, and 4/5 of the saturation magnetization. plateaux without translational symmetry breaking are predicted to occur at 1/5 and 3/5 magnetization. A symmetry-protected topological plateau phase is found at 3/5 magnetization, but not at 1/5. In addition translational-symmetry-broken plateaux induced by large coupling anisotropy are found at 1/5, 2/5, 3/5, and 4/5 magnetization. Phase diagrams at 1/5, 2/5, 3/5, and 4/5 of the saturation magnetization are obtained. Magnetization curves for several representative anisotropies are also presented, together with the corresponding magnetic phase diagrams.

Journal of Physics Condensed MatterOct 13, 20260 citations

S = 2 Quantum Spin Chain with the Biquadratic Exchange Interaction

Tôru Sakai, Takaharu Yamada, Ryosuke Nakanishi +5 more

The $S=2$ quantum spin chain with the single-ion anisotropy $D$ and the biquadratic exchange interaction $J_{\rm BQ}$ is investigated using the numerical diagonalization of finite-size clusters and the level spectroscopy analysis. It is found that the intermediate- $D$ phase corresponding to the symmetry protected topological (SPT) phase appears in a wide region of the ground state phase diagram. We also obtain the phase diagram at the half of the saturation magnetization which includes the SPT plateau phase.The $S=2$ quantum spin chain with the single-ion anisotropy $D$ and the biquadratic exchange interaction $J_{\rm BQ}$ is investigated using the numerical diagonalization of finite-size clusters and the level spectroscopy analysis. It is found that the intermediate-$D$ phase corresponding to the symmetry protected topological (SPT) phase appears in a wide region of the ground state phase diagram. We also obtain the phase diagram at the half of the saturation magnetization which includes the SPT plateau phase.

arXiv:2205.07005Journal of the Physical Society of JapanJun 2, 20221 citation

We investigate the

S=2

We investigate the

S=1

antiferromagnetic quantum spin chain with the exchange and single-ion anisotropies in a magnetic field, using numerical exact diagonalization of finite-size clusters, level spectroscopy analysis, and the density matrix renormalization group (DMRG). We find that a translational symmetry broken magnetization plateau possibly appears at the half of the saturation magnetization, when the anisotropies compete with each other. The level spectroscopy analysis gives the phase diagram at half the saturation magnetization. The DMRG calculation presents the magnetization curves for some typical parameters and clarifies the spin structure in the plateau phase.

The magnetization process of the

S=3/2

quantum spin chain with the

XXZ

anisotropy and the single-ion anisotropy

D

is investigated using the numerical diagonalization of finite-size clusters and the level spectroscopy analysis. We obtain the phase diagrams at 1/3 and 2/3 of the saturation magnetization to find that the translational-symmetry-broken magnetization plateau appears for the first time. The similarity and the difference between the phase diagrams of the present model and the related models are discussed by use of the discrete parameters of the models. In addition several typical magnetization curves are presented.

Translational Symmetry Broken Magnetization Plateau of the

S = 2

Antiferromagnetic Chain with Anisotropies

The magnetization process of the

S

\frac{3}{2}

antiferromagnetic Heisenberg chain with single-ion anisotropy

D

T=0

is investigated by the exact diagonalization of finite clusters and finite-size scaling analyses. It is found that a magnetization plateau appears at

m=

\frac{1}{2}

for $D>{D}_{c}=0.93\ifmmode\pm\else\textpm\fi{}0.01$. The phase transition with respect to

D

{D}_{c}

is revealed to be of the Kosterlitz-Thouless type. The magnetization curve of the infinite system is also presented for some values of

D

The

S=2

quantum spin chain with the single-ion anisotropy

D

and the biquadratic exchange interaction

J_{\rm BQ}

is investigated using the numerical diagonalization of finite-size clusters and the level spectroscopy analysis. It is found that the intermediate-

D

phase corresponding to the symmetry protected topological (SPT) phase appears in a wide region of the ground state phase diagram. We also obtain the phase diagram at the half of the saturation magnetization which includes the SPT plateau phase.