  The competition between proximate electronic phases produces a complex
phenomenology in strongly correlated systems. In particular, fluctuations
associated with periodic charge or spin modulations, known as density waves,
may lead to exotic superconductivity in several correlated materials. However,
density waves have been difficult to isolate in the presence of chemical
disorder, and the suspected causal link between competing density wave orders
and high temperature superconductivity is not understood. Here we use scanning
tunneling microscopy to image a previously unknown unidirectional (stripe)
charge density wave (CDW) smoothly interfacing with the familiar
tri-directional (triangular) CDW on the surface of the stoichiometric
superconductor NbSe$_2$. Our low temperature measurements rule out thermal
fluctuations, and point to local strain as the tuning parameter for this
quantum phase transition. We use this discovery to resolve two longstanding
debates about the anomalous spectroscopic gap and the role of Fermi surface
nesting in the CDW phase of NbSe$_2$. Our results highlight the importance of
local strain in governing phase transitions and competing phenomena, and
suggest a new direction of inquiry for resolving similarly longstanding debates
in cuprate superconductors and other strongly correlated materials.
