电子-电子相互作用对掺杂石墨烯费米面拓扑结构的影响
Effect of electron-electron interaction on the Fermi surface topology of doped graphene
摘要：
研究了电子-电子相互作用对掺杂石墨烯费米面形状的影响。晶格的实际离散性质被充分考虑。考虑了具有最近邻跳跃积分的$π$带紧束缚模型。计算了零温下的自能修正。包括长程和短程库仑相互作用。石墨烯的交换自能修正保留了费米表面拓扑结构的三角形翘曲，尽管使三角形形状变圆。带速度被重整化为更高的值。由二阶微扰理论计算的局部库仑相互作用引起的修正，确实使费米面形状各向异性地变形。结果进行了比较，实验观察和其他理论结果。
英文摘要：
The electron-electron interactions effects on the shape of the Fermi surface of doped graphene are investigated. The actual discrete nature of the lattice is fully taken into account. A $π$-band tight-binding model, with nearest-neighbor hopping integrals, is considered. We calculate the self-energy corrections at zero temperature. Long and short range Coulomb interactions are included. The exchange self-energy corrections for graphene preserve the trigonal warping of the Fermi surface topology, although rounding the triangular shape. The band velocity is renormalized to higher value. Corrections induced by a local Coulomb interaction, calculated by second order perturbation theory, do deform anisotropically the Fermi surface shape. Results are compared to experimental observations and to other theoretical results.
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