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

Non-Fermi liquid behavior due to U(1) gauge field in two dimensions
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DOI:
10.1016/j.nuclphysb.2010.01.021
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发表时间:
2009-07
期刊:
Nuclear Physics
影响因子:
--
通讯作者:
Jing-Rong Wang;Guo-Zhu Liu
Jing-Rong Wang;Guo-Zhu Liu
中科院分区:
其他
文献类型:
--
作者:
Jing-Rong Wang;Guo-Zhu Liu

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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。在没有规范场的麦克斯韦项的情况下,费米子阻尼率Im_(ω,T)在微扰和自洽结果中都发散.在存在麦克斯韦项的情况下,Im(ω,T)的微扰结果仍有分歧.一旦麦克斯韦项被包含在费米子自能和真空极化函数的自洽方程中,费米子阻尼率就没有发散,表现出非费米液体行为:Im(ω,T)max(ω,T)。
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 ImΣ(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 ImΣ(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: ImΣ(ω,T)∝max(ω,T).