Ahmed Abouelkomsan

Affiliation

Massachusetts Institute of Technology

Title of work

Compressible quantum matter with vanishing Drude weight

Authors

Ahmed Abouelkomsan $^1$, Nisarga Paul $^1$, Ady Stern $^2$ and Liang Fu $^1$

$^1$ Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA
$^2$ Department of Condensed Matter Physics, Weizmann Institute of Science, Rehovot 7610001, Israel

Abstract

We explore the possibility of quantum states of matter that are compressible but have vanishing DC conductivity in the absence of disorder. We show that the composite Fermi liquid emerging from strong interaction in a generic Chern band has zero Drude weight, in stark contrast to normal Fermi liquids. Our work establishes the absence of Drude weight as the defining property of the composite Fermi liquid phase, which distinguishes it from the Fermi liquid or other types of non-Fermi liquids. Our findings point to a possibly wide class of gapless quantum phases with unexpected transport and optical properties.