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Spin-chirality duality in a spin ladder system with four-spin cyclic exchange

Toshiya Hikihara, Tsutomu Momoi, Xiao Hu

Published Feb 20, 2003• 0 citations
OpenAlex

Abstract

4スピン循環相互作用を持つS=1/2 2本鎖梯子系の基底状態について調べた。我々は、反強磁性秩序とベクトル・カイラリティ秩序を入れ替える厳密な双対変換を導入し、あるパラメータ点において、系は自己双対であることを確かめた。さらに、密度行列繰り込み群法を用いた数値計算から、4スピン循環相互作用が大きな領域では、ベクトル・カイラリティ相関が支配的な新奇な状態が実現されることが分かった。

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Spin-Chirality Duality in a Spin Ladder with Four-Spin Cyclic Exchange

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Effect of four-spin cyclic exchange on magnetism is studied in the two-leg S=1/2 ladder. We develop an exact spin-chirality duality transformation, under which the system is self-dual when the four-spin exchange J4 is half of the two-spin exchange. Using the density-matrix renormalization-group method and the duality relation, we find that the four-spin exchange makes the vector-chirality correlation dominant. A "chirality short-range resonating-valence-bond" phase is identified for the first time at large J4.

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Sheng-Hao Li, Qian‐Qian Shi, Jinhua Liu +1 more

We investigate a two-leg Heisenberg spin ladder with cyclic four-spin exchange by exploiting a newly-developed tensor network algorithm. The algorithm allows to efficiently compute the ground-state fidelity per lattice site, which enables us to establish the ground-state phase diagram for quantum lattice many-body systems. The latter is based on the observation that, for an infinite-size system, any singularity on a ground-state fidelity surface characterizes a critical point, at which the system undergoes a phase transition. For the two-leg Heisenberg spin-1/2 ladder with cyclic four-spin exchange, six different phases are identified: the ferromagnetic phase, the rung singlet phase, the staggered dimer phase, the scalar chirality phase, the dominant vector chirality region, and the dominant collinear spin region. Our findings are in a good agreement with the previous studies from the exact diagonalization and the density-matrix renormalization group.

arXiv:1105.3276•May 17, 2011•0 citations
4スピン循環相互作用を持つS=1/2 2本鎖梯子系の基底状態について調べた。我々は、反強磁性秩序とベクトル・カイラリティ秩序を入れ替える厳密な双対変換を導入し、あるパラメータ点において、系は自己双対であることを確かめた。さらに、密度行列繰り込み群法を用いた数値計算から、4スピン循環相互作用が大きな領域では、ベクトル・カイラリティ相関が支配的な新奇な状態が実現されることが分かった。
Effect of four-spin cyclic exchange on magnetism is studied in the two-leg S=1/2 ladder. We develop an exact spin-chirality duality transformation, under which the system is self-dual when the four-spin exchange J4 is half of the two-spin exchange. Using the density-matrix renormalization-group method and the duality relation, we find that the four-spin exchange makes the vector-chirality correlation dominant. A "chirality short-range resonating-valence-bond" phase is identified for the first time at large J4.
We investigate a two-leg Heisenberg spin ladder with cyclic four-spin exchange by exploiting a newly-developed tensor network algorithm. The algorithm allows to efficiently compute the ground-state fidelity per lattice site, which enables us to establish the ground-state phase diagram for quantum lattice many-body systems. The latter is based on the observation that, for an infinite-size system, any singularity on a ground-state fidelity surface characterizes a critical point, at which the system undergoes a phase transition. For the two-leg Heisenberg spin-1/2 ladder with cyclic four-spin exchange, six different phases are identified: the ferromagnetic phase, the rung singlet phase, the staggered dimer phase, the scalar chirality phase, the dominant vector chirality region, and the dominant collinear spin region. Our findings are in a good agreement with the previous studies from the exact diagonalization and the density-matrix renormalization group.