Gapless excitations in condensed matter and quantum many-body systems are well established as arising from spontaneous symmetry breaking in the form of Goldstone bosons.
The retrieved papers provide robust theoretical and experimental evidence demonstrating that spontaneous symmetry breaking in condensed matter and quantum many-body systems results in gapless excitations, specifically Nambu-Goldstone bosons. Papers [0], [1], and [8] directly support this fundamental principle.