Quasiparticles in two-dimensional Hubbard model: splitting of spectral weight
Quasiparticles in two-dimensional Hubbard model: splitting of spectral weight
复制标题
二维哈伯德模型中的准粒子：光谱权重的分裂
DOI：
10.1143/jpsj.63.3923
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发表时间：
1994
期刊：
影响因子：
--
通讯作者：
M. Ogata
中科院分区：
文献类型：
--
作者：
H. Fukuyama;M. Ogata
二维电子自能函数Σ(k，ɛ+i0)≡ΣR(k，ɛ)的能量(ɛ)和动量(K)依赖关系为：ImΣR(k，ɛ)=−aɛ2|ɛ−ξk|−γ(K)其中a为常数，ξk=ɛ(K)−μ，ɛ(K)为能带能量，且依赖于k处费米面曲率的临界指数γ(K)满足，0≤γ(K)≤1。这表明二维电子形成了一种新型的电子液体，它是ɛ，ξk→0极限下的费米液体，但对于ξk≠0和Tomonaga-Luttinger液体一样具有分裂的单粒子光谱。
The energy (ɛ) and momentum (k) dependences of the electron self-energy function Σ(k,ɛ + i0) ≡ Σ R (k,ɛ) in two-diemnsion are shown to be, ImΣ R (k,ɛ) = −aɛ 2|ɛ − ξ k |−γ(k) where a is some constant, ξ k = ɛ(k) − μ,ɛ(k) being the band energy, and the critical exponent γ(k), which depends on the curvature of the Fermi surface at k, satisfies, 0 ≤ γ(k) ≤ 1. This indicates that two-dimensional electrons form a new type of electron liquid, which is the Fermi liquid in the limit of ɛ,ξ k → 0 but for ξ k ≠ 0 has a split one-particle spectra as in the Tomonaga-Luttinger liquid.