Journal
PHYSICAL REVIEW LETTERS
Volume 114, Issue 16, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.114.166601
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Funding
- Alexander von Humboldt Foundation
- NSF [DMR-1001240, DMR-1205303, PHY-1211914, PHY-1125844]
- Direct For Mathematical & Physical Scien
- Division Of Materials Research [1205303, 1001240] Funding Source: National Science Foundation
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Motivated by Weyl semimetals and weakly doped semiconductors, we study transport in a weakly disordered semiconductor with a power-law quasiparticle dispersion xi(k) proportional to k(alpha). We show, that in 2 alpha dimensions short-correlated disorder experiences logarithmic renormalization from all energies in the band. We study the case of a general dimension d using a renormalization group, controlled by an epsilon = 2 alpha - d expansion. Above the critical dimensions, conduction exhibits a localization-delocalization phase transition or a sharp crossover (depending on the symmetries of the Hamiltonian) as a function of disorder strength. We utilize this analysis to compute the low-temperature conductivity in Weyl semimetals and weakly doped semiconductors near and below the critical disorder point.
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