Ultrafast electronic dynamics in solids lies at the core of modern condensedmatter and materials physics. To build up a practical ab initio method in thisfield, we develop the momentum-resolved real-time time dependent densityfunctional theory (rt-TDDFT), together with the implementation of length gaugeelectromagnetic field. When applied to simulate elementary excitation ingraphene, different excitation modes, only distinguishable in momentum space,are observed. The momentum-resolved rt-TDDFT is important and efficient for thestudy of ultrafast dynamics in extended systems.
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