Mott, Floquet, and the response of periodically driven Anderson insulators

Dillon T. Liu, J. T. Chalker, Vedika Khemani, Shivaji Lal Sondhi

Research output: Contribution to journalArticlepeer-review

7 Scopus citations


We consider periodically driven Anderson insulators. The short-time behavior for weak, monochromatic, uniform electric fields is given by linear response theory and was famously derived by Mott. We go beyond this to consider both long times - which is the physics of Floquet late time states - and strong electric fields. This results in a "phase diagram" in the frequency-field strength plane, in which we identify four distinct regimes. These are a linear response regime dominated by preexisting Mott resonances, which exists provided Floquet saturation is not reached within a period; a nonlinear perturbative regime, which exhibits multiphoton-absorption in response to the field; a near-adiabatic regime, which exhibits a primarily reactive response spread over the entire sample and is insensitive to preexisting resonances; and finally an enhanced dissipative regime.

Original languageEnglish (US)
Article number214202
JournalPhysical Review B
Issue number21
StatePublished - Dec 7 2018

All Science Journal Classification (ASJC) codes

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics


Dive into the research topics of 'Mott, Floquet, and the response of periodically driven Anderson insulators'. Together they form a unique fingerprint.

Cite this