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Conformal field theory for inhomogeneous one-dimensional quantum systems: the example of non-interacting Fermi gases

Conformal field theory for inhomogeneous one-dimensional quantum systems: the example of non-interacting Fermi gases

Conformal field theory (CFT) has been extremely successful in describing large-scale universal effects in one-dimensional (1D) systems at quantum critical points. Unfortunately, its applicability in condensed matter physics has been limited to situations in which the bulk is uniform because CFT describes low-energy excitations around some energy scale, taken to …