2004/08/10 by George A. Levin · 1 citation
Mathematics · Physics and Astronomy · #Anisotropy #Coherence (philosophical gambling strategy) #Coherence length #Condensed matter physics #Electron #Geometry #Length scale #Magnetic properties of thin films #Mathematics #Phase coherence #Phenomenological model #Phenomenology (philosophy) #Physics #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #Quantum mechanics #Resistive touchscreen #Scaling #Sigma #Statistical physics #Superconductivity #Thermal conduction #Universality (dynamical systems) #cond-mat.str-el #cond-mat.supr-con
paper · pdf · doi:10.1103/physrevb.70.064515
Scheduled to appear in August 1, 2004 issue of Phys. Rev. B
arxiv created 2004/08/10 · openalex publication_date 2004/08/27 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
A phenomenological approach to the analysis of the conductivities of incoherent layered crystals is presented. It is based on the fundamental relationship between the resistive anisotropy \ensuremathσab∕\ensuremathσc and the ratio of the phase coherence lengths in the respective directions. We explore the model-independent consequences of a general assumption that the out-of-plane phase coherence length of single electrons is a short fixed distance of the order of interlayer spacing. Several topics are discussed: application of the scaling theory, magnetoresistivity, the effects of substitutions, and the intermediate regime of conduction when both coherence lengths change with temperature, but at a different rate.