Applicability of scale-invariance hypothesis to one-dimensional problems
Abrikosov A.A., Ryzhkin I.A.
A new and better founded formulation is presented of the scale-invariance hypothesis for the calculation of the longitudinal conductivity of a quasi-one-dimensional metal. Results that differ from the those previously obtained by the authors (Sov. Phys. JETP 45, 118 (1977): Sov. Phys. Solid State 19, 33 (1977) JETP Lett. 24, 433 (1976) are presented for a number of quasi-one-dimensional problems. The advanced hypothesis can be directly verified in high-frequency experiments.