动态赝能隙模型
Dynamic Pseudogap Model
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中文总结 AI 辅助
该研究构建了动态赝能隙的微观理论，推导了单粒子格林函数的双级数表示，揭示了由退相干标度控制的两种赝能隙区域的交叉，数值计算验证了该交叉在宽参数范围存在。
中文摘要 AI 辅助
我们构建了一种由具有特征振荡频率ω₀和阻尼γ的动态有限嵌套矢量Q涨落产生的赝能隙形成的微观理论。从描述电子与经典高斯随机场耦合的哈密顿量出发，我们在精确SU(2)时间演化的阿贝尔（对易）近似下，推导了单粒子格林函数的显式双级数表示。所得传播子自然具有广义Bogoliubov结构，其中每个随机散射历史都以有效动态能隙为特征，形成具有复泊松权重的动态展边带的相干叠加。该理论的核心结果是出现了动态产生的退相干标度Γₑff，它控制着两种性质不同的赝能隙区域之间的交叉。当ω₀>Γₑff时，涨落场被相干分辨，双级数表示为动态边带形成提供了可控描述；相反，当Γₑff≳ω₀时，相干性逐渐丧失，该理论交叉到由精确连分数解描述的准静态涨落能隙区域。因此，相干描述和准静态描述被解释为同一微观动态赝能隙模型的两个互补渐近极限。我们针对不同模型参数组给出了电子谱密度和态密度的数值计算详细结果，证实了该交叉在宽模型参数范围内存在。
英文摘要
We formulate a theory of pseudogap formation generated by dynamic finite nesting vector ${\bf Q}$ fluctuations with characteristic oscillation frequency $ω_0$, and damping $γ$. Starting from a Hamiltonian describing electrons coupled to a classical Gaussian random field, we introduce the double - series representations of the single - particle Green's function within an Abelian (commuting) approximation to the exact SU(2) time evolution of the pseudogap problem. The resulting propagator naturally acquires a generalized Bogoliubov structure in which every stochastic scattering history is characterized by an effective dynamic gap, leading to a coherent superposition of dynamically broadened sidebands with complex Poisson weights. A central result of the theory is the emergence of a dynamically generated decoherence scale $Γ_{\rm eff}$ governing the crossover between two qualitatively different pseudogap regimes. For $ω_0>Γ_{\rm eff}$ the fluctuating field is resolved coherently and the double-series representation provides a controlled description of dynamic sideband formation. Conversely, when $Γ_{\rm eff}\gtrsimω_0$, coherence is progressively lost and the theory crosses over to the quasistatic fluctuating - gap regime described by the exact continued-fraction solution. The coherent and quasistatic descriptions are therefore interpreted as two complementary asymptotic limits of the same microscopic dynamic pseudogap model. The detailed results of numerical calculations for electron spectral density and density of states supporting our approach are presented for different sets of model parameters confirming the general picture of this crossover.
发表机构
- Institute for Electrophysics, Russian Academy of Sciences（俄罗斯科学院电物理研究所）
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