Abstract
Magnetoresistances (MR's) of quasi-two-dimensional purple bronzes $A{\mathrm{Mo}}_{6}{\mathrm{O}}_{17}$ $(A=\mathrm{K},$ Tl, Na) are comparatively studied at 2 K for magnetic fields of $H\ensuremath{\parallel}c$ and $H\ensuremath{\perp}c,$ respectively, where c is the direction normal to the two-dimensional plane of the sample. Unusually huge positive MR's for $H\ensuremath{\parallel}c$ are analyzed quantitatively by a two-band carriers galvanomagnetic effect on the ungapped residual Fermi surfaces, in which the concentration of the carriers is modified by an applied magnetic field. The modified two-band model can explain the MR's well, and the resulting parameters suggest that the purple bronzes belong to an uncompensated metal.
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