Proximity-induced charge density wave in a metallic system

Nonlocal quasiparticles in correlated quantum materials can exhibit the proximity effect. For instance, metal superconductor hybrid systems, leaking of Cooper pairs to metallic region induces superconducting correlations a standard metal. This paper explores effects charge density wave (CDW) on using attractive Hubbard model, which harbors CDW state at half filling. Our fully self-consistent calculations demonstrate that periodic modulations develop due tunneling finite momentum particle-hole from region. Upon doping normal region, commensurate changes an incommensurate one by incorporating regular phase shifts. Furthermore, induced produces soft gap states and thus be detected experiments. We discuss our results light recent reports such proximity-induced order different two-dimensional heterostructures.