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Recently, emergent symmetry is one of fast-growing intriguing issues inmany-body systems. Its roles and consequential physics have not been wellunderstood in quantum phase transitions. Emergent symmetry of degenerategroundstates is discussed in possible connection to spontaneous symmetrybreaking within the Landau theory. For a clear discussion, a quantum spin-$1/2$plaquette chain system is shown to have rich emergent symmetry phenomena in itsgroundstates. A covering symmetry group over all emergent symmetriesresponsible for degenerate groundstates in the plaquette chain system is foundto correspond to a largest common symmetry group of constituent Hamiltoniansdescribing the plaquette system. Consequently, this result suggests that, as aguiding symmetry principle in quantum phase transitions, {\it degenerategroundstates are induced by a spontaneous breaking of symmetries belonging to alargest common symmetry group of continent Hamiltonians describing a givensystem but can have more symmetries than the largest common symmetry}.

Are degenerate groundstates induced by spontaneous symmetry breakings in quantum phase transitions?