Interference effects between velocity and density of states, which occur as electrons move along open orbits in the extended Brillouin zone in anisotropic conductors, result in a change of wave functions' dimensionality at magic angle (MA) directions of a magnetic field. In particular, these $1\mathrm{D}\to 2\mathrm{D}$ dimensional crossovers result in the appearance of sharp minima in a resistivity component ${\rho }_{\perp }(H,\alpha )$, perpendicular to conducting layers. This explains the main qualitative features of MA and angular magnetoresistance oscillations' phenomena observed due to the existence of quasi-one-dimensional sheets of Fermi surface in $(\mathrm{T}\mathrm{M}\mathrm{T}\mathrm{S}\mathrm{F}{)}_{2}X$, $(\mathrm{D}\mathrm{M}\mathrm{E}\mathrm{T}\mathrm{\text{−}}\mathrm{T}\mathrm{S}\mathrm{e}\mathrm{F}{)}_{2}X$, and $\kappa \mathrm{\text{−}}(\mathrm{E}\mathrm{T}{)}_2\mathrm{C}\mathrm{u}(\mathrm{N}\mathrm{C}\mathrm{S}{)}_2$ conductors.

• Received 1 April 2004

DOI:https://doi.org/10.1103/PhysRevLett.93.157006