Giant magnetoresistance in the variable range hopping regime

Abstract

We predict the universal power law dependence of localization length on magnetic field in the strongly localized regime. This effect is due to the orbital quantum interference. Physically, this dependence shows up in an anomalously large negative magnetoresistance in the hopping regime. The reason for the universality is that the problem of the electron tunneling in a random media belongs to the same universality class as directed polymer problem even in the case of wave functions of random sign. We present numerical simulations which prove this conjecture. We discuss the existing experiments that show anomalously large magnetoresistance. We also discuss the role of localized spins in real materials and the spin polarizing effect of magnetic field.

21 pages, 16 figures, 52 citations, pdflatex

References in corpus (4)

• Colossal negative magnetoresistance in dilute fluorinated graphene
• Magnetoresistance of an Anderson insulator of bosons
• Joint free energy distribution in the random directed polymer problem
• Interfering directed paths and the sign phase transition

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• Field theory of disordered systems -- Avalanches of an elastic interface in a random medium
• Coherent Hopping Transport and Giant Negative Magnetoresistance in Epitaxial CsSnBr${}_3$
• Evidence of the Coulomb gap in the density of states of MoS${}_2$
• The sign phase transition in the problem of interfering directed paths
• Magnetoenhancement of superconductivity in composite D-wave superconductors
• Activated hopping transport in nematic conducting aerogel at low temperatures