  Plasma wakefield acceleration (PWFA) has shown illustrious progress and
resulted in an impressive demonstration of tens of GeV particle acceleration in
meter-long single structures. To reach even higher energies in the 1 TeV to 10
TeV range, a promising scheme is channeling acceleration in solid-density
plasmas within crystals or nanostructures.
  The E336 experiment studies the beam-nanotarget interaction with the highly
compressed electron bunches available at the FACET-II accelerator. These
studies furthermore involve an in-depth research on dynamics of beam-plasma
instabilities in ultra-dense plasma, its development and suppression in
structured media like carbon nanotubes and crystals, and its potential use to
transversely modulate the electron bunch.
