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arXiv 1202.0443cond-mat.mes-hallcond-mat.str-el
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石墨烯中手征对称性破缺的电子自能效应

Electron self-energy effects on chiral symmetry breaking in graphene

J. Gonzalez

摘要:

研究了长程库仑作用下石墨烯中狄拉克费米子理论中手征对称性的动力学破缺。在梯形近似下,我们分析了与动力学能隙产生有关的电子-空穴顶点,发现它在石墨烯精细结构常数α c的一个临界值处发生爆炸,而α c对多体修正非常敏感.在相互作用势的静态RPA屏蔽下,我们发现,对于N = 4的二分量Dirac费米子,考虑电子对顶点的自能修正后,临界耦合增加到α c \approx 4.9。当考虑相互作用的动力学屏蔽时,电子和空穴状态中的费米速度重整化的影响导致N = 4时的值α_c \approx 1.75,显著大于在没有电子自能校正的情况下获得的值(\approx 0.99),但仍然低于孤立的独立石墨烯中的相互作用耦合的标称值。

英文摘要:

We investigate the dynamical breakdown of the chiral symmetry in the theory of Dirac fermions in graphene with long-range Coulomb interaction. We analyze the electron-hole vertex relevant for the dynamical gap generation in the ladder approximation, showing that it blows up at a critical value α_c in the graphene fine structure constant which is quite sensitive to many-body corrections. Under static RPA screening of the interaction potential, we find that taking into account electron self-energy corrections to the vertex increases the critical coupling to α_c \approx 4.9, for a number N = 4 of two-component Dirac fermions. When dynamical screening of the interaction is instead considered, the effect of Fermi velocity renormalization in the electron and hole states leads to the value α_c \approx 1.75 for N = 4, substantially larger than that obtained without electron self-energy corrections (\approx 0.99), but still below the nominal value of the interaction coupling in isolated free-standing graphene.

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