掺杂基塔耶夫-海森堡模型中的配对趋势

Pontus Laurell, Bradraj Pandey, Gábor B. Halász, Satoshi Okamoto, Gonzalo Alvarez, Elbio Dagotto
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摘要

我们研究了在蜂巢晶格上掺入空穴对基塔耶夫-海森堡模型的影响。我们在$t-J-K$模型的框架内,利用三脚圆柱体上的密度矩阵归一化群计算,研究了配对趋势和相关函数。在实现半填充量子自旋液相的纯基塔耶夫模型中,我们发现两个空穴的结合只发生在空穴速度较慢的低跳变值上。我们已经从理论上验证了在空穴不动的极限下会发生成对现象,在这种情况下,纯基塔耶夫模型仍然是精确可解的。相反,当我们把跳跃固定在一个中间的、现实的值,并改变海森堡和基塔耶夫的相互作用强度时,我们发现只有在N(鳗鱼)阶段才有配对倾向。这与先前的均场计算结果截然不同,突出了在广义基塔耶夫模型中考虑掺杂剂动能的重要性。有趣的是,在所研究的模型参数范围内,我们还发现了配对密度波形成的特征,即电荷密度的周期性调制以及实空间的自旋-自旋和配对-配对相关性。此外,我们还介绍了不同相关性作为掺杂函数的比较研究。最后,我们讨论了在量子材料和异质结构中实验观察所研究的物理学的潜力。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Pairing tendencies in the doped Kitaev-Heisenberg model
We study the impact of hole-doping on the Kitaev-Heisenberg model on the honeycomb lattice. We investigate the pairing tendencies and correlation functions in the framework of a $t-J-K$ model using density matrix renormalization group calculations on three-leg cylinders. In the case of the pure Kitaev model, which realizes a quantum spin-liquid phase at half-filling, we find that binding of two holes only occurs at low values of the hopping, where the holes are slow. We have theoretically verified that pair formation occurs in the limit of immobile holes, where the pure Kitaev model remains exactly solvable. When we instead fix the hopping at an intermediate, more realistic, value, and vary the Heisenberg and Kitaev interaction strengths, we find pairing tendencies only in the N\'eel phase. This is in contrast to prior mean-field calculations, highlighting the importance of accounting for the kinetic energy of dopants in generalized Kitaev models. Interestingly, we also find signatures of pair-density wave formation over the studied range of model parameters, namely a periodic modulation of the charge density as well as the spin-spin and pair-pair correlations in real space. Moreover, we present a comparative study of the different correlations as a function of doping. We finally discuss the potential for experimentally observing the studied physics in quantum materials and heterostructures.
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