Abstract
We argue that in strongly correlated electron system collective instanton excitations of the phase field (dual to the charge) arise with a great degree of stability, governed by gauge flux changes by an integer multiple of 2 π . By unravelling consequences of the non-trivial topology of the charge gauge U(1) group, we found that the pinning of μ and the zero-temperature divergence of charge compressibility κ ∼ ∂ n e / ∂ μ define novel “hidden” quantum criticality on verge of the Mott transition governed by the protectorate of stable topological numbers rather than Landau paradigm of the symmetry breaking.
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