Magnetic Field Induced Confinement in Strongly Correlated Anisotropic Materials

We have previously argued that strong correlation effects in highly anisotropic materials can lead to "confinement" in the sense that single particle motion in some directions is intrinsically incoherent. The presence of a magnetic field transverse to the direction of the hopping would enhance this effect and could potentially change the nature of hopping itself if the material were close to the coherence-incoherence transition. We believe that such an effect has already been observed in the unusual commensurability effects observed in the magnetoresistance of the highly anisotropic organic conductor ${\mathrm{}\left(\mathrm{TMTSF}\right)\mathrm{}}_2$P${\mathrm{F}}_6$.