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arXiv 0806.4298cond-mat.supr-concond-mat.mes-hallcond-mat.str-elhep-ph
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准(2+1)维相对论BCS理论:层间转移对蜂窝晶格对称性的影响

Relativistic BCS Theory in Quasi-(2+1)-Dimensions: Effects of an Inter-layer Transfer in the Honeycomb Lattice Symmetry

Tadafumi Ohsaku

摘要:

基于对石墨烯片和石墨作为相对论体系的研究兴趣,在准(2+1)维相对论模型下研究了BCS超导。层内粒子动力学由(2+1)维Gross-Neveu型四体接触相互作用模型描述,而层间粒子运动则由带有传递参数$t$的跳跃项引起.特别地,我们研究了非零的$t$,化学势$μ$,和一个质量参数$m$,这将给出一个相对论带色散的圆锥交叉点处的间隙,在BCS s波(标量)超导能隙函数$Δ$的影响。

英文摘要:

Motivated by recent huge interests on graphene sheet and graphite as "relativistic" systems, a BCS superconductivity in a quasi-(2+1)-dimensional relativistic model is investigated. The intra-layer particle dynamics is described by a (2+1)-dimensional Gross-Neveu-type four-body contact interaction model, while inter-layer particle motions will be caused by a hopping term with a transfer parameter $t$. Especially, we examine the effects of non-vanishing $t$, chemical potential $μ$, and a mass parameter $m$ which will give a gap at a conical intersection point of the relativistic band dispersion, in the BCS s-wave (scalar) superconducting gap function $Δ$.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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