In this Letter we report exact results on the infrared asymptotics of the one-particle dynamical correlation function of the gas of impenetrable spin 1/2 fermions at infinitesimal temperature. The correlation function shows signs of spin-charge separation with scaling behavior in the charge part and exponential decay as a function of the space coordinate in the spin part. Surprisingly, the anomalous dimensions in the charge part do not correspond to any unitary conformal field theory. We find that the fermion spectral weight has a power law divergency at low energy with the anomalous exponent -1/2.
A new spin-incoherent'state of strongly correlated electron matter in one dimension has been predicted. The proposed theory has been later applied to explain transport anomalies in quantum wires and stimulated a new approach to thermometry of atomic gases in elongated traps. [27 citations] RAE_import_type : Journal article RAE_uoa_type : Physics