## Event Dates:

## CTQM Seminar Type:

- Related Seminar Series

## Speaker Name(s):

## Speaker Affiliation(s):

## Abstract, Event Details:

When holes are doped into the copper-oxide plane of high-temperature superconductors, the metallic state that ensues is not characterized by a continuous closed surface in momentum space as dictated by the standard theory of metals. Rather, the surface is truncated, forming what is referred to as a Fermi arc. I address two questions in this talk. First, can a phase with Fermi arcs preserve Luttinger’s theorem? Second, can gauge-gravity duality with tailored bulk interactions generate Fermi arcs from a Mott state? From exact models, I will show that Fermi arcs involve a breakdown of Luttinger's theorem and that Fermi arcs evolve from a Mott insulator by the breaking of parity in the boundary theory. Holographically, what the Mott and Fermi arc states have in common is in fall of charges into the black hole. Such degrees of freedom composite and appear as zeros of the single-particle Green function. A modified charge in the spirit of Luttinger’s is explored which accounts for the composite as well as the elemental charges at the boundary.