Haldane Gaps of Large-<i>S</i> Heisenberg Antiferromagnetic Chains and Asymptotic Behavior

Nakano, Hiroki; Todoroki, Norikazu; Sakai, Tôru

doi:10.7566/jpsj.88.114702

Cited by 14 publications

(7 citation statements)

References 31 publications

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“…Part of Lanczos diagonalizations has been carried out using the MPI-parallelized code, which originally developed in the research of the Haldane gaps [29]. The usefulness of our program was confirmed in several large-scale parallelized calculations [30][31][32][33][34][35][36][37][38][39][40][41].…”

Section: Model Hamiltonian and Methods Of Calculationsmentioning

confidence: 88%

Magnetization process of the S = 1/2 Heisenberg antiferromagnet on the floret pentagonal lattice

et al. 2021

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We study the S = 1/2 Heisenberg antiferromagnet on the floret pentagonal lattice by numerical diagonalization method. This system shows various behaviours that are different from that of the Cairo-pentagonal-lattice antiferromagnet. The ground-state energy without magnetic field and the magnetization process of this system are reported. Magnetization plateaux appear at one-ninth height of the saturation magnetization, at one-third height, and at seven-ninth height. The magnetization plateaux at one-third and seven-ninth heights come from interactions linking the sixfold-coordinated spin sites. A magnetization jump appears from the plateau at one-ninth height to the plateau at one-third height. Another magnetization jump is observed between the heights corresponding to the one-third and seven-ninth plateaux; however the jump is away from the two plateaux, namely, the jump is not accompanied with any magnetization plateaux. The jump is a peculiar phenomenon that has not been reported.

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Section: Model Hamiltonian and Methods Of Calculationsmentioning

confidence: 88%

Magnetization process of the S = 1/2 Heisenberg antiferromagnet on the floret pentagonal lattice

et al. 2021

Self Cite

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show abstract

Section: Model Hamiltonian and Methods Of Calculationsmentioning

confidence: 88%

Magnetization process of the S=1/2 Heisenberg antiferromagnet on the floret pentagonal lattice

Furuchi,

Nakano,

Todoroki

et al. 2021

Preprint

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We study the S=1/2 Heisenberg antiferromagnet on the floret pentagonal lattice by numerical diagonalization method. This system shows various behaviours that are different from that of the Cairo-pentagonal-lattice antiferromagnet. The ground-state energy without magnetic field and the magnetization process of this system are reported. Magnetization plateaux appear at one-ninth height of the saturation magnetization, at one-third height, and at seven-ninth height. The magnetization plateaux at one-third and seven-ninth heights come from interactions linking the sixfold-coordinated spin sites. A magnetization jump appears from the plateau at one-ninth height to the plateau at one-third height. Another magnetization jump is observed between the heights corresponding to the one-third and seven-ninth plateaux; however the jump is away from the two plateaux, namely, the jump is not accompanied with any magnetization plateaux. The jump is a peculiar phenomenon that has not been reported.

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“…Part of Lanczos diagonalizations has been performed using the MPI-parallelized code, which was originally developed in the research of the Haldane gaps [17]. The usefulness of our program was demonstrated in several large-scale parallelized calculations [18][19][20][21].…”

Section: Model and Calculationmentioning

confidence: 99%

Numerical Study of S=1/2 Heisenberg Antiferromagnet on the Floret Pentagonal Lattice

Furuchi¹,

Nakano²,

Sakai³

2022

Preprint

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The S = 1/2 Heisenberg antiferromagnet on the floret-pentagonal lattice with two kinds of interaction strength is studied by the numerical-diagonalization method. It is known that, near the five-ninth of the saturation magnetization, this system shows a magnetization jump that is not accompanied by magnetization plateaux. We focus our attention on the behavior of this system around the five-ninth of the saturation magnetization; the changes of the magnetization jump and plateau at and around this magnetization are clarified from the diagonalization data for finite-size systems up to 45 sites.

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Haldane Gaps of Large-S Heisenberg Antiferromagnetic Chains and Asymptotic Behavior

Cited by 14 publications

References 31 publications

Magnetization process of the S = 1/2 Heisenberg antiferromagnet on the floret pentagonal lattice

Magnetization process of the S = 1/2 Heisenberg antiferromagnet on the floret pentagonal lattice

Magnetization process of the S=1/2 Heisenberg antiferromagnet on the floret pentagonal lattice

Numerical Study of S=1/2 Heisenberg Antiferromagnet on the Floret Pentagonal Lattice

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