许寅杰, 陈宇光. 海森堡Ladder模型中自旋波速度的理论研究[J]. 南昌航空大学学报(自然科学版), 2012, 26(4): 19-25.
引用本文: 许寅杰, 陈宇光. 海森堡Ladder模型中自旋波速度的理论研究[J]. 南昌航空大学学报(自然科学版), 2012, 26(4): 19-25.
XU Yin-jie, CHEN Yu-guang. Numerical Study of the Spin-wave Velocity in Heisenberg Spin Ladder Model[J]. Journal of nanchang hangkong university(Natural science edition), 2012, 26(4): 19-25.
Citation: XU Yin-jie, CHEN Yu-guang. Numerical Study of the Spin-wave Velocity in Heisenberg Spin Ladder Model[J]. Journal of nanchang hangkong university(Natural science edition), 2012, 26(4): 19-25.

海森堡Ladder模型中自旋波速度的理论研究

Numerical Study of the Spin-wave Velocity in Heisenberg Spin Ladder Model

  • 摘要: 通过测量海森堡Ladder模型中不同链间相互作用Jv下的系统自旋波速度vs,并为此建立了海森堡Ladder模型,同时引入了弹性系数为K的链内弹性晶格,使Ladder模型形成了自发的柱状二聚化。在不同的Jv下,利用密度矩阵重整化群(DMRG)以及自洽方法,测量了不同尺寸系统其各自对应的单态与三重态之间的能隙G以及孤子宽度Ws,并将结果外推至热力学极限。通过对Ws-1/G斜率的测量,得到不同Jv下所对应的系统波速度vs。测量结果表明,伴随着G随Jv的增强而线性减弱的同时,Ws随着Jv的增强而非线性地快速增加,这使得vs发生了一个先减小后增大至无穷的连续变化,且随着K的增强这种变化愈发剧烈。这说明Jv对系统磁振子的扩散起到了抑制或促进作用。

     

    Abstract: The columnar-dimer Heisenberg spin ladder model is investigated to calculate the spin-wave velocity vs under different interchain interaction Jv conditions. The elastic lattice with the elastic force K is introduced into the system which induces spin chains unstable towards the spontaneous dimerization. We obtain the thermodynamic limitations of the singlet-triplet energy gap G and the soliton width Ws when the ladder model is in the Columnar Dimer state by Density-matrix Renormalization-group(DMRG) method and self-consistent method. v s is obtained by measuring the slope of Ws-1/G. The numerical results show that, as Jv increases, G decreases linearly while Ws increases dramatically. According to this, vs decreases at first and then increases to the infinite and this change becomes sharp when K is bigger. It is noticed that the interchain interaction Jv effects the magnon dispersion.

     

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