| Summary: | Unprecedented tens of TVm<sup>−1</sup> fields are modeled to be realizable using novel nanoplasmonic surface crunch-in modes in nanomaterials. These relativistic nonlinear surface modes are accessible due to advances in nanofabrication and quasi-solid density sub-micron particle bunch compression. Proof of principle of TVm<sup>−1</sup> plasmonics is provided using three-dimensional computational and analytical modeling of GeV scale energy gain in sub-millimeter long tubes having nanomaterial walls with controllable free-electron densities, <inline-formula> <tex-math notation="LaTeX">$n_{\mathrm t}\sim 10^{22-24}\mathrm {cm^{-3}}$ </tex-math></inline-formula> and hundreds of nanometer core radius driven by quasi-solid electron beams, <inline-formula> <tex-math notation="LaTeX">$n_{\mathrm b}\sim 0.01n_{\mathrm t}$ </tex-math></inline-formula>. Besides the tens of TeVm<sup>−1</sup> acceleration gradients, equally strong transverse fields lead to self-focusing and nanomodulation of the beam which drive extreme beam compression to ultra-solid peak densities increasing the crunch-in field strength. Apart from ultra-solid particle beams, extreme focusing also opens up a nano-wiggler like tunable coherent <inline-formula> <tex-math notation="LaTeX">$\mathrm {\mathcal {O}(100MeV)}$ </tex-math></inline-formula> ultra-dense photon source.
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