Absence of Luttinger's Theorem due to Zeros in the Single-Particle Green Function
Absence of Luttinger's Theorem due to Zeros in the Single-Particle Green Function
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DOI：
10.1103/physrevlett.110.090403
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发表时间：
2013-02-28
影响因子：
8.6
通讯作者：
Kane, Charles L.
中科院分区：
文献类型：
--
作者：
Dave, Kiaran B.;Phillips, Philip W.;Kane, Charles L.
我们用SUd（N）相互作用模型精确地表明，即使通过使用唯一值mu（T -> 0）消除了与T = 0带隙系统的化学势mu的位置相关的模糊性，即使基态简并度被无限小跳跃解除，也违反了Luttinger求和规则。失败源于不存在的Luttinger-Ward功能的系统中的自能发散。因为它是存在的Luttinger-Ward功能是基础的Luttinger的定理，其中涉及的电荷密度的符号变化的单粒子绿色功能，没有这样的定理存在。铜酸盐的实验数据显示从Luttinger计数系统的偏差，这意味着在强相关的电子物质的电子准粒子图片的故障。DOI：10.1103/PhysRevLett.110.090403
We show exactly with an SUd(N) interacting model that even if the ambiguity associated with the placement of the chemical potential, mu, for a T = 0 gapped system is removed by using the unique value mu(T -> 0), Luttinger's sum rule is violated even if the ground-state degeneracy is lifted by an infinitesimal hopping. The failure stems from the nonexistence of the Luttinger-Ward functional for a system in which the self-energy diverges. Since it is the existence of the Luttinger-Ward functional that is the basis for Luttinger's theorem which relates the charge density to sign changes of the single-particle Green function, no such theorem exists. Experimental data on the cuprates are presented which show a systematic deviation from the Luttinger count, implying a breakdown of the electron quasiparticle picture in strongly correlated electron matter. DOI: 10.1103/PhysRevLett.110.090403