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Effect of electron-phonon interaction on spectroscopies in graphene

机译：电子-声子相互作用对石墨烯光谱的影响

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We calculate the effect of the electron-phonon interaction on the electronic density of states (DOS), the quasiparticle properties, and on the optical conductivity of graphene. In metals with DOS constant on the scale of phonon energies, the electron-phonon renormalizations drop out of the dressed DOS, however, due to the Dirac nature of the electron dynamics in graphene, the band DOS is linear in energy and phonon structures remain, which can be emphasized by taking an energy derivative. There is a shift in the chemical potential and in the position in energy of the Dirac point. Also, the DOS can be changed from a linear dependence out of value zero at the Dirac point to quadratic out of a finite value. The optical scattering rate 1 / τ sets the energy scale for the rise of the optical conductivity from its universal dc value 4e~2/πh (expected in the simplest theory when chemical potential and temperature are both 1/2τ) to its universal ac background value (σ_0 = πe~2/2h). As in ordinary metals the dc conductivity remains unrenormalized while its ac value is changed. The optical spectral weight under the intraband Drude is reduced by a mass-renormalization factor as is the effective scattering rate. Optical weight is transferred to an Holstein phonon-assisted side band. Due to Pauli blocking the interband transitions are sharply suppressed, but also nearly constant, below twice the value of renormalized chemical potential and also exhibit a phonon-assisted contribution. The universal background conductivity is reduced below σ_0 at large energies.
机译：我们计算电子-声子相互作用对状态电子密度（DOS），准粒子性质以及对石墨烯的光导率的影响。在DOS处于声子能级不变的金属中，电子-声子重整化会从修饰的DOS中消失，但是，由于石墨烯中电子动力学的狄拉克性质，带DOS在能量上是线性的，并且声子结构得以保留，可以通过采用能量导数来强调。化学势和狄拉克点的能量位置发生了变化。同样，DOS可以从Dirac点处的零值以外的线性相关性更改为有限值的二次方。光学散射率1 /τ设置了光导率从其通用dc值4e〜2 /πh（化学势和温度均 1 /2τ时的最简单理论所预期的）的能量标度交流背景值（σ_0=πe〜2 / 2h）。与普通金属一样，在改变其ac值时，直流电导率仍未归一化。带内德鲁德下的光谱权重与有效散射率一样，被质量重整因子所降低。光学重量转移到Holstein声子辅助的边带上。由于保利阻塞，带间跃迁被抑制得很厉害，但也几乎保持不变，低于重新归一化化学势值的两倍，并且还表现出了声子辅助作用。大能量时，通用本底电导率降低到σ_0以下。

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