We study theoretically a nonlinear circular dichroism of Haldane model quantum dots (QDs) placed in the field of an ultrashort and strong circularly polarized optical pulse. The main parameter of the Haldane model is the phase , which breaks the time-reversal symmetry of a QD system, resulting in intrinsic chirality of the Haldane model QDs and a finite circular dichroism. The circular dichroism of a QD system strongly depends on the QD shape. The crucial condition is the existence of almost degenerate in-gap QD edge states for zero intrinsic phase, . For hexagonal QDs and triangular QDs with armchair edges, at , the QDs do not have any degenerate edge states. For such systems, at finite values of the phase , a perfect circular dichroism can be realized. The smallest phase, at which a perfect circular dichroism can be achieved, increases with the field amplitude. Also, at a given phase , a circular dichroism decreases with increasing the field strength. The origin of a large circular dichroism for such QD systems is the low-energy chiral edge states, which are formed at finite values of of the Haldane model. But, if, at , a Haldane model QD has almost degenerate edge states, which is the case of a triangular QD with zigzag edges, then, for any parameters of the Haldane model, a perfect circular dichroism cannot be realized. In this case, a circular dichroism as a function of the phase, parameters of the Haldane model, and the field amplitude shows strongly nonmonotic dependence.
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