Spin-charge Separation of the Luttinger Model after an Interaction Quench
ZHOU Zong-Li1, ZHANG Guo-Shun1, LOU Ping2,3
1School of Science, Anhui Agricultural University, Hefei 230036 2School of Physics and Material Science, Anhui University, Hefei 230039 3Department of Chemistry, Sungkyunkwan University, Suwon 440-746, Korea
Spin-charge Separation of the Luttinger Model after an Interaction Quench
ZHOU Zong-Li1, ZHANG Guo-Shun1, LOU Ping2,3
1School of Science, Anhui Agricultural University, Hefei 230036 2School of Physics and Material Science, Anhui University, Hefei 230039 3Department of Chemistry, Sungkyunkwan University, Suwon 440-746, Korea
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.
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.
ZHOU Zong-Li;ZHANG Guo-Shun;LOU Ping;. Spin-charge Separation of the Luttinger Model after an Interaction Quench[J]. 中国物理快报, 2010, 27(6): 67305-067305.
ZHOU Zong-Li, ZHANG Guo-Shun, LOU Ping,. Spin-charge Separation of the Luttinger Model after an Interaction Quench. Chin. Phys. Lett., 2010, 27(6): 67305-067305.
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2010, Vol. 27 
