Quantum critical exponents for a disordered three-dimensional Weyl node

B Sbierski, EJ Bergholtz, PW Brouwer - Physical Review B, 2015 - APS
Physical Review B, 2015APS
Three-dimensional Dirac and Weyl semimetals exhibit a disorder-induced quantum phase
transition between a semimetallic phase at weak disorder and a diffusive-metallic phase at
strong disorder. Despite considerable effort, both numerically and analytically, the critical
exponents ν and z of this phase transition are not known precisely. Here we report a
numerical calculation of the critical exponent ν= 1.47±0.03 using a minimal single-Weyl
node model and a finite-size scaling analysis of conductance. Our high-precision numerical …
Three-dimensional Dirac and Weyl semimetals exhibit a disorder-induced quantum phase transition between a semimetallic phase at weak disorder and a diffusive-metallic phase at strong disorder. Despite considerable effort, both numerically and analytically, the critical exponents and of this phase transition are not known precisely. Here we report a numerical calculation of the critical exponent using a minimal single-Weyl node model and a finite-size scaling analysis of conductance. Our high-precision numerical value for is incompatible with previous numerical studies on tight-binding models and with one- and two-loop calculations in an -expansion scheme. We further obtain from the scaling of the conductivity with chemical potential.
American Physical Society
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