相互作用对一维狄拉克半金属手性效应的影响
Influence of interactions on the chiral effect in $1D$ Dirac semimetal
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中文总结 AI 辅助
本研究采用数值量子蒙特卡罗模拟，探究一维SSH模型中局域哈伯德型相互作用对狄拉克半金属相手性效应的影响，发现局域哈伯德相互作用不会对手性效应产生重整化。
中文摘要 AI 辅助
我们研究一维Su-Schrieffer-Heeger（SSH）模型。近期研究表明，对于处于狄拉克半金属相的非相互作用该模型，在存在有限耗散时，轴向电荷密度对外加电场的线性响应与电导率成正比，比例因子由耦合常数决定，该关系可视为手性效应的体现，而手性效应是三维手性磁效应的维度缩减形式。本工作中，我们采用数值量子蒙特卡罗模拟，研究存在两种局域哈伯德型相互作用的同一模型。我们发现，在数值分辨率及所研究参数范围内，即使在足够强的相互作用将系统驱动至莫特绝缘相的区域，感应轴向电荷密度与电导率之间的比例关系仍保持不变。该结果表明，局域哈伯德相互作用不会对手性效应进行重整化。
英文摘要
We consider the 1D Su-Schrieffer-Heeger (SSH) model. It was recently shown that, for the noninteracting model in its Dirac semimetal phase, the linear response of the axial charge density to an external electric field is proportional to the electrical conductivity in the presence of finite dissipation, with the proportionality factor determined by the coupling constants. This relation may be viewed as a manifestation of the chiral effect, which is a dimensional reduction of the 3D chiral magnetic effect. In the present work, we investigate the same model in the presence of two versions of local Hubbard-type interactions using numerical Quantum Monte Carlo simulations. We find, within the numerical resolution and for the parameters studied, that, even in the regime where sufficiently strong interactions drive the system into a Mott insulating phase, the proportionality between the induced axial charge density and the electrical conductivity remains unchanged. This result indicates that the chiral effect is not renormalized by local Hubbard interactions.
