@article{2390, abstract = {We resolve several longstanding problems concerning the stability and the absence of multi-particle binding for N≥2 polarons. Fröhlich's 1937 polaron model describes non-relativistic particles interacting with a scalar quantized field with coupling √α, and with each other by Coulomb repulsion of strength U. We prove the following: (i) While there is a known thermodynamic instability for U<2α, stability of matter does hold for U>2α, that is, the ground state energy per particle has a finite limit as N→∞. (ii) There is no binding of any kind if U exceeds a critical value that depends on α but not on N. The same results are shown to hold for the Pekar-Tomasevich model.}, author = {Frank, Rupert L and Lieb, Élliott H and Robert Seiringer and Thomas, Lawrence E}, journal = {Publications Mathematiques de l Institut des Hautes Etudes Scientifiques}, number = {1}, pages = {39 -- 67}, publisher = {Springer}, title = {{Stability and absence of binding for multi-polaron systems}}, doi = {10.1007/s10240-011-0031-5}, volume = {113}, year = {2011}, }