Single Impurity Scattering in One-Channel Spinless Luttinger Liquid
HAN Yue-Wu1,3, XIE Hong-Yi2, LIU Yu-Liang2, CAI Shao-Hong1,4, HU Lin1
1Laboratory for Photoelectric Technology and Applications, Department of Physics, Guizhou University, Guiyang 5500252Department of Physics, Renmin University of China, Beijing 1008723Guizhou Radio and TV University, Guiyang 5500044Guizhou College of Finance and Economics, Guiyang 550004
Single Impurity Scattering in One-Channel Spinless Luttinger Liquid
HAN Yue-Wu1,3;XIE Hong-Yi2;LIU Yu-Liang2;CAI Shao-Hong1,4; HU Lin1
1Laboratory for Photoelectric Technology and Applications, Department of Physics, Guizhou University, Guiyang 5500252Department of Physics, Renmin University of China, Beijing 1008723Guizhou Radio and TV University, Guiyang 5500044Guizhou College of Finance and Economics, Guiyang 550004
摘要Using bosonization and phase shift representation, we rigorously treat backward scattering of electrons on an impurity in a one-dimensional interacting electronic system, and demonstrate that correlation exponents of the system depend on a phase shift induced by the backward scattering, and usual exponent duality of the correlation functions between ultraviolet and infrared fixed points comes from the phase shift dependence of the correlation exponents. Finally, we study the tunnelling conductance of the system at zero temperature and obtain a modified Landauer-Bütiker formula.
Abstract：Using bosonization and phase shift representation, we rigorously treat backward scattering of electrons on an impurity in a one-dimensional interacting electronic system, and demonstrate that correlation exponents of the system depend on a phase shift induced by the backward scattering, and usual exponent duality of the correlation functions between ultraviolet and infrared fixed points comes from the phase shift dependence of the correlation exponents. Finally, we study the tunnelling conductance of the system at zero temperature and obtain a modified Landauer-Bütiker formula.
HAN Yue-Wu;XIE Hong-Yi;LIU Yu-Liang;CAI Shao-Hong; HU Lin. Single Impurity Scattering in One-Channel Spinless Luttinger Liquid[J]. 中国物理快报, 2008, 25(6): 2211-2214.
HAN Yue-Wu, XIE Hong-Yi, LIU Yu-Liang, CAI Shao-Hong, HU Lin. Single Impurity Scattering in One-Channel Spinless Luttinger Liquid. Chin. Phys. Lett., 2008, 25(6): 2211-2214.
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2008, Vol. 25 
