N-leg spin-S Heisenberg ladders: A density-matrix renormalization group study

F. B. Ramos; J. C. Xavier

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N-leg spin-S Heisenberg ladders: A density-matrix renormalization group study

机译：N腿自旋S海森堡阶梯：密度矩阵重归一化小组研究

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We investigate the N-leg spin-S Heisenberg ladders by using the density matrix renormalization group method. We present estimates of the spin gap Δ_s and of the ground-state energy per site e_∞~(2D), in the thermodynamic limit for ladders with widths up to six legs and spin S ≤ 5/2. We also estimate the ground-state energy per site e_∞~(2D) for the infinite two-dimensional spin-S Heisenberg model. Our results support that for ladders with semi-integer spins the spin excitation is gapless for N odd and gapped for N even, whereas for integer spin ladders the spin gap is nonzero, independent of the number of legs. Those results agree with the well-known conjectures of Haldane and Senechal-Sierra for chains and ladders, respectively. We also observe edge states for ladders with N odd, similar to what happens in spin chains.

机译：我们使用密度矩阵重归一化群方法研究了N腿自旋S海森堡梯子。我们给出了自旋间隙Δ_s和每个位点的基态能量e_∞〜（2D）的估计值，该宽度是对宽度最大为六边且自旋S≤5/2的梯子的热力学极限。我们还估计了无限二维自旋S海森堡模型的每个位点的基态能量e_∞〜（2D）。我们的结果支持：对于具有半整数自旋的梯子，自旋激励对于N奇数是无间隙的，对于N偶数是有间隙的，而对于整数自旋梯子，自旋间隙是非零的，与支路数无关。这些结果分别与Haldane和Senechal-Sierra关于链条和梯子的著名推测相吻合。我们还观察到具有N个奇数的梯子的边沿状态，类似于自旋链中发生的情况。

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《Physical review》 |2014年第9期|094424.1-094424.7|共7页
作者
F. B. Ramos; J. C. Xavier;
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作者单位

Universidade Federal de Uberlandia, Instituto de Fisica, Caixa Postal 593,38400-902 Uberlandia, MG, Brazil;

Universidade Federal de Uberlandia, Instituto de Fisica, Caixa Postal 593,38400-902 Uberlandia, MG, Brazil;

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正文语种 eng
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quantized spin models; spin chain models;

机译：量化自旋模型自旋链模型;

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机译：反铁磁海森堡阶梯中自旋Peierls不稳定性的密度矩阵重整化组研究
2. Density-matrix renormalization group study of the bond-alternating S = 1/2 Heisenberg ladder with ferro-antiferromagnetic couplings [J] . J. Almeida, M. A. Martin-Delgado, G. Sierra Physical review. B, Condensed Matter And Materials Physics . 2007,第18期

机译：铁-反铁磁耦合的交替键S = 1/2 Heisenberg阶梯的密度矩阵重整化群研究
3. Density-Matrix Renormalization Group Study of Kitaev-Heisenberg Model on a Triangular Lattice [J] . Shinjo Kazuya, Sota Shigetoshi, Yunoki Seiji, Journal of the Physical Society of Japan . 2016,第11期

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4. Density-Matrix Renormalization Group Study of Phase Diagram in Systems with Strong Electron-Electron and Electron-Phonon Interactions [C] . Masaki Tezuka, Ryotaro Arita, Hideo Aoki, International Conference on Low Temperature Physics . 2005

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5. Study of the spin-phonon coupling in the antiferromagnetic Heisenberg three-leg ladder. [D] . Shahin, Khalada. 2007

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6. Density-Matrix Embedding Theory Study of the One-DimensionalHubbard–Holstein Model [O] . Teresa E. Reinhard, *, Uliana Mordovina, -1

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7. The N-Leg spin-S Heisenberg ladders: A DMRG study [O] . Ramos, F. B., Xavier, J. C. 2014

机译：N-Leg spin-s海森堡梯子：DmRG研究

N-leg spin-S Heisenberg ladders: A density-matrix renormalization group study

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