Universal Spin-Induced Magnetoresistance in the Variable-Range Hopping Regime
Yigal Meir (Physics Department, Ben Gurion University, ISRAEL)
TL;DR
This paper derives a universal analytical expression for spin-induced magnetoresistance in variable-range hopping regimes, showing consistency with numerical simulations and experimental data across different dimensions.
Contribution
It introduces a universal function describing magnetoresistance due to spin effects in variable-range hopping, validated by numerical and experimental comparisons.
Findings
Analytical universal magnetoresistance function derived.
Good agreement with numerical simulations in 1D and 2D.
Excellent match with recent experimental results when quantum interference is included.
Abstract
The magnetoresistance in the variable-range hopping regime due to Zeeman spin-splitting and intra-impurity interactions is calculated analytically and shown to be a universal function of . Good agreement with numerical calculations in one and two dimensions is observed. With the inclusion of quantum interference effects, excellent agreement with recent experiments is obtained.
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