A theory for laser-driven electron dynamics and high-harmonic generation in bulk solids with two lattice sites per unit cell of arbitrary dimension is formulated. In tight-binding approximation, such solids can be described by $2\times 2$ Bloch Hamiltonians. Our theory is able to fully capture topological effects in high-harmonic generation by such systems because no simplifications beyond tight-binding, dipole approximation, and negligible depletion of the valence band are made. An explicit, analytical expression for the electron velocity is given. Exemplarily, the theory is applied to the Su-Schrieffer-Heeger chain and the Haldane model in strong laser fields.

中文翻译：

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强激光驱动的电子动力学和固体中高阶谐波的产生，包括拓扑效应

提出了一种在单位体积中具有任意尺寸的两个晶格位的散装固体中激光驱动电子动力学和高谐波产生的理论。在紧密结合近似中，此类固体可以用$2\times 2$布洛赫·哈密顿主义者。我们的理论能够完全捕获此类系统在高谐波生成中的拓扑效应，因为没有进行除紧束缚，偶极近似和价带损耗可忽略不计的简化。给出了电子速度的明确的解析表达式。示例性地，该理论被应用于强激光场中的Su-Schrieffer-Heeger链和Haldane模型。