Vignale is known for his work on density functional theory - a theoretical approach to the quantum many-body problem - and for several contributions to many-particle physics and spintronics.
He is also the author of a monograph on the "Quantum Theory of the Electron Liquid" (with Gabriele F. Giuliani) and a book entitled "The Beautiful Invisible - Creativity, imagination, and theoretical physics".
Some of his poems have been translated from English to Spanish by the renowned Cuban poet Juana Rosa Pita and are published in both languages in Time is Alive/El Tiempo Esta' Vivo.
[9] The dramatic quartet Odradek and Billy Bass Drink to the End of the World [10] features four short plays patterned after the classic Japanese Noh drama form.
About this book Juana Rosa Pita writes: "Suspended in space and time, his characters are pure abstractions, speaking devices, neither alive nor dead, in fact, not even human... Poetry, prose and drama conspire to make these plays an unforgettable reading experience".