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Charge correlations in the weakly doped t-J model calculated by projection technique

机译:通过投影技术计算的弱掺杂t-J模型中的电荷相关性

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We study frequency- and wave-vector dependent charge correlations in weakly doped antiferromagnets using Mori-Zwanzig projection technique. The system is described by the two-dimensional t-J model. The ground state is expressed within a cumulant formalism which has been successfully applied to study magnetic properties of the weakly doped system. Within this approach the ground state contains independent spin-bag quasiparticles (magnetic polarons). We present results for the charge-density response function and for the optical conductivity at zero temperature for different values of t/J. They agree well with numerical results calculated by exact diagonalization techniques. The density response function for intermediate and large momenta shows a broad continuum on energy scales of order of several t whereas the optical conductivity for ε > 0 is dominated by low energy excitations (at 1.5-2J). We show that these weak-doping properties can be well understood by transitions between excited states of spin-bag quasiparticles.
机译:我们使用Mori-Zwanzig投影技术研究弱掺杂反铁磁体中与频率和波矢量相关的电荷相关性。该系统由二维t-J模型描述。基态以累积形式表示,该形式已成功地用于研究弱掺杂系统的磁性。在这种方法中,基态包含独立的自旋袋准粒子(磁极化子)。对于不同的t / J值,我们给出了电荷密度响应函数和零温度下的光导率的结果。它们与通过精确对角化技术计算出的数值结果非常吻合。中等和较大动量的密度响应函数在几t量级的能量尺度上显示出一个宽广的连续体,而ε> 0的光导率则由低能量激发(在1.5-2J下)支配。我们表明,通过自旋袋准粒子的激发态之间的过渡可以很好地理解这些弱掺杂特性。

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