  Nematic quantum fluids with wavefunctions that break the underlying
crystalline symmetry can form in interacting electronic systems. We examine the
quantum Hall states that arise in high magnetic fields from anisotropic hole
pockets on the Bi(111) surface. Spectroscopy performed with a scanning
tunneling microscope shows that a combination of local strain and many-body
Coulomb interactions lift the six-fold Landau level (LL) degeneracy to form
three valley-polarized quantum Hall states. We image the resulting anisotropic
LL wavefunctions and show that they have a different orientation for each
broken-symmetry state. The wavefunctions correspond precisely to those expected
from pairs of hole valleys and provide a direct spatial signature of a nematic
electronic phase.
