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Quantum Interference Effects, Magnetoresistance and Localisation in Disordered Systems
Author(s) -
Paja A.,
Morgan G. J.
Publication year - 1998
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/(sici)1521-3951(199804)206:2<701::aid-pssb701>3.0.co;2-6
Subject(s) - condensed matter physics , magnetoresistance , scattering , boltzmann equation , context (archaeology) , physics , weak localization , relaxation (psychology) , magnetic field , limit (mathematics) , boltzmann constant , amorphous solid , field (mathematics) , interference (communication) , conductivity , quantum mechanics , chemistry , mathematics , psychology , paleontology , social psychology , mathematical analysis , organic chemistry , pure mathematics , biology , channel (broadcasting) , electrical engineering , engineering
The magnetoresistivity of a disordered metallic system is derived using the “2 K F ‐scattering” theory in terms of a generalized Boltzmann equation with magnetic field B included. The behaviour is complex but in the limit of weak fields (which are experimentally quite strong) we find a negative contribution to the relaxation time proportional to B 2 which gives rise to a positive magnetoconductivity proportional to B 2 . The conductivity in zero field increases with temperature. We discuss these results in the context of measurements for amorphous Ca z Al 1— z and existing theories of magnetoconductivity. The theory explains the nature of the observed results. It can also be generalised to strong localisation and applied in strong scattering situations.