Non-Unitary Spin-Charge Separation in One-Dimensional Fermion Gas

Details Non-Unitary Spin-Charge Separation in One-Dimensional Fermion Gas Non-Unitary Spin-Charge Separation in One-Dimensional Fermion Gas

2003-08-23

arxiv.org/abs/cond-mat/0308470v1

Phys. Rev. Lett. 92, 176401 (2004)

Physics

Condensed Matter

Strongly Correlated Electrons

4 pages, no figures

Scientific paper

10.1103/PhysRevLett.92.176401

In this Letter we report exact results on the infrared asymptotics of 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 $-1/2.$

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