Multifractality at non-Anderson disorder-driven transitions in Weyl semimetals and other systems

Multifractality at Anderson transitions with Coulomb interaction.

We explore mesoscopic fluctuations and correlations of the local density of states (LDOS) near localization transition in a disordered interacting electronic system. It is shown that the LDOS multifractality survives in the presence of the Coulomb interaction. We calculate the spectrum of multifractal dimensions in 2+ϵ spatial dimensions and show that it differs from that in the absence of inte...

Helicons in Weyl semimetals

Photocurrents in Weyl semimetals

Ching-Kit Chan,1 Netanel H. Lindner,2 Gil Refael,3 and Patrick A. Lee1 1Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA 2Physics Department, Technion, 320003 Haifa, Israel 3Institute of Quantum Information and Matter and Department of Physics, California Institute of Technology, Pasadena, California 91125, USA (Received 13 August 2016; revised m...

Entanglement entropy and multifractality at localization transitions

The von Neumann entanglement entropy is a useful measure to characterize a quantum phase transition. We investigate the nonanalyticity of this entropy at disorder-dominated quantum phase transitions in noninteracting electronic systems. At these critical points, the von Neumann entropy is determined by the single particle wave function intensity, which exhibits complex scale invariant fluctuati...

Charge transport in Weyl semimetals.

We study transport in Weyl semimetals with N isotropic Weyl nodes in the presence of Coulomb interactions or disorder at temperature T. In the interacting clean limit, we determine the conductivity σ(ω,T) by solving a quantum Boltzmann equation within a "leading log" approximation and find it to be proportional to T, up to logarithmic factors arising from the flow of couplings. In the nonintera...