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Spin-charge Separation of the Luttinger Model after an Interaction Quench
Authors:ZHOU Zong-Li  ZHANG Guo-Shun  LOU Ping
Affiliation:School of Science, Anhui Agricultural University, Hefei 230036 School of Physics and Material Science, Anhui University, Hefei 230039 Department of Chemistry, Sungkyunkwan University, Suwon 440-746, Korea
Abstract:A Luttinger model of spin-½ fermions is considered after the interaction is suddenly switched on at time t=0. By means of the bosonization technique, we evaluate analytically the one-particle correlation functions in detail, mainly involving equal-time correlations and propagators. The critical exponent which governs the power-law behavior of equal-time correlations for this spinful non-equilibrium system is obtained. In comparison with the published results, the difference between critical exponents of correlations in spinful and spinless non-equilibrium systems is found and explained. Furthermore, it is found that the propagator exhibits different power-law behavior from other equal-time correlations in this non-equilibrium system.
Keywords:73.43.Nq  11.25.Hf. 64.60.Ht
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