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arXiv 0802.3405cond-mat.str-elcond-mat.supr-con
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动态光谱重量转移法研究掺杂莫特绝缘体中费米液体理论的突破

Breakdown of Fermi Liquid Theory in Doped Mott Insulators by Dynamical Spectral Weight Transfer

Philip Phillips, Ting-Pong Choy, Robert G. Leigh

摘要:

我们发现,掺杂的莫特绝缘体表现出集体自由度,而不是由元素的激发,因为在低能量每电子每自旋的单粒子添加状态的数量大于1。这种集体自由度的存在不是接近相变的结果,而是从高能量到低能量的动态光谱权重转移的结果。这种物理现象被电荷$2e$玻色子捕获,它是在哈伯德模型中明确积分出高能尺度后出现的。电荷$2e$玻色子与空穴结合,从而在低能量下介导新的电荷$e$态。正是这种电荷$e$态的存在提供了费米液体理论在掺杂莫特绝缘体中崩溃的一般机制,而在非相互作用系统中没有对应物。解释了荷电$2e$玻色子公式和标准微扰处理之间的关系。

英文摘要:

We show that doped Mott insulators exhibit a collective degree of freedom, not made out of the elemental excitations, because the number of single-particle addition states at low energy per electron per spin is greater than one. The presence of such a collective degree of freedom which is not a consequence of proximity to a phase transition is a consequence of dynamical spectral weight transfer from high to low energies. This physics is captured by the charge $2e$ boson that emerges by explicitly integrating out the high-energy scale in the Hubbard model. The charge $2e$ boson binds to a hole, thereby mediating new charge $e$ states at low energy. It is the presence of such charge $e$ states which have no counterpart in the non-interacting system that provides the general mechanism for the breakdown of Fermi liquid theory in doped Mott insulators. The relationship between the charge $2e$ boson formulation and the standard perturbative treatment is explained.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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