Frequency-temperature crossover in the conductivity of disordered Luttinger liquids

被引:5
|
作者
Rosenow, Bernd [1 ,2 ]
Glatz, Andreas [2 ,3 ]
Nattermann, Thomas [2 ]
机构
[1] Harvard Univ, Dept Phys, Cambridge, MA 02138 USA
[2] Univ Cologne, Inst Theoret Phys, D-50937 Cologne, Germany
[3] Argonne Natl Lab, Div Mat Sci, Argonne, IL 60439 USA
来源
PHYSICAL REVIEW B | 2007年 / 76卷 / 15期
关键词
D O I
10.1103/PhysRevB.76.155108
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
The temperature (T) and frequency (omega) dependent conductivity of weakly disordered Luttinger liquids is calculated in a systematic way both by perturbation theory and from a finite temperature renormalization group (RG) treatment to leading order in the disorder strength. Whereas perturbation theory results in omega/T scaling of the conductivity, such scaling is violated in the RG treatment. We also determine the nonlinear field dependence of the conductivity, whose power law scaling is different from that of temperature and frequency dependence.
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页数:5
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