Magnetoresistance of linear networks of coupled orbits. I. Calculations for partial phase coherence

The magnetoresistance of the simplest linear networks-(1) the 'opening network' where large and small orbits couple into a chain, and (2) the 'closing network' where open orbits close via a small orbit-is calculated when phase coherence is negligible on the large orbits and described by a 'relaxation time' tau p on the small orbits. Large-angle scattering is also introduced. In general, quantum oscillations-resonant for (1) and sinusoidal for (2)-appear in only the 'H2 component' of the resistance (unless ne=nn). The field and temperature dependences of the oscillations are discussed.

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