Band structure evolution from kagome to Lieb under periodic driving field

TL;DR

This paper presents a theoretical framework for inducing a transition from kagome to Lieb band structures in 2D lattices using periodic light fields, enabling control over electronic properties through hopping modulation.

Contribution

The authors develop a generalized method to tune hopping parameters in 2D lattices under periodic driving, demonstrating a controllable transition from kagome to Lieb band structures.

Findings

Hopping strength can be tuned to zero along specific bonds.

Dirac points merge at high-symmetry points under certain conditions.

Transition to Lieb band structure occurs with reduced bandwidth.

Abstract

We theoretically investigate the light-induced transition of the kagome quasienergy spectrum to the Lieb like band structure under periodic driving fields. A generalized framework for the renormalized hopping potential is derived, applicable to any two-dimensional lattice with arbitrary field polarizations. By applying this framework to a kagome lattice driven by linearly polarized light in off-resonant condition, we demonstrate the ability to tune the hopping strength along specific bonds to zero. This tuning induces the merging of Dirac points at high-symmetry points in the Brillouin zone, governed by the field parameters. At specific parameter values, this merging facilitates a transition from the kagome quasienergy spectrum to the Lieb band structure with reduced bandwidth. Our results highlight the critical role of controlled electron hopping in driving this electronic transition, offering valuable insights into the manipulation of electronic properties in periodically driven systems.