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arXiv 0907.1022cond-mat.supr-concond-mat.str-elhep-th
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二维U(1)规范场引起的非费米液体行为

Non-Fermi liquid behavior due to U(1) gauge field in two dimensions

Jing-Rong Wang, Guo-Zhu Liu

摘要:

研究了(2+1)维量子电动力学中无质量狄拉克费米子对U(1)规范场的阻尼率。在规范场不存在麦克斯韦项的情况下,我们发现费米子阻尼率$\mathrm{Im}Σ(ω,T)$在微扰和自洽两种情况下都是发散的.在Maxwell项存在的情况下,对$\mathrm{Im}Σ(ω,T)$的微扰结果仍然存在分歧.一旦在费米子自能和真空极化函数的自洽方程中加入Maxwell项,费米子阻尼率不再发散,表现出非费米液体行为:$\mathrm{Im}Σ(ω,T) \propto \mathrm{max}(\sqrtω,\sqrt{T})$ .

英文摘要:

We study the damping rate of massless Dirac fermions due to the U(1) gauge field in (2+1)-dimensional quantum electrodynamics. In the absence of a Maxwell term for the gauge field, the fermion damping rate $\mathrm{Im}Σ(ω,T)$ is found to diverge in both perturbative and self-consistent results. In the presence of a Maxwell term, there is still divergence in the perturbative results for $\mathrm{Im}Σ(ω,T)$. Once the Maxwell term is included into the self-consistent equations for fermion self-energy and vacuum polarization functions, the fermion damping rate is free of divergence and exhibits non-Fermi liquid behavior: $\mathrm{Im}Σ(ω,T) \propto \mathrm{max}(\sqrtω,\sqrt{T})$.

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