Details

Autor(en) / Beteiligte

• Syzranov, S. V.
• Gurarie, V.
• Radzihovsky, L.

Titel

Unconventional localization transition in high dimensions

Ist Teil von

• Physical review. B, Condensed matter and materials physics, 2015-01, Vol.91 (3), Article 035133

Erscheinungsjahr

2015

Quelle

PROLA - Physical Review Online Archive

Beschreibungen/Notizen

• We study noninteracting systems with a power-law quasiparticle dispersion [xi] sub(k) [is proportional to] k super( alpha ) and a random short-range-correlated potential. We show that, unlike the case of lower dimensions, for d > 2 alpha , there exists a critical disorder strength (set by the bandwidth), at which the system exhibits a disorder-driven quantum phase transition at the bottom of the band that lies in a universality class distinct from the Anderson transition. In contrast to the conventional wisdom, it manifests itself in, e.g., the disorder-averaged density of states. For systems in symmetry classes that permit localization, the striking signature of this transition is a nonanalytic behavior of the mobility edge, which is pinned to the bottom of the band for subcritical disorder and grows for disorder exceeding a critical strength. Focusing on the density of states, we calculate the critical behavior (exponents and scaling functions) at this novel transition, using a renormalization group, controlled by an epsilon = d - 2 alpha expansion. We also apply our analysis to Dirac materials, e.g., Weyl semimetals, where this transition takes place in physically interesting three dimensions.