Two dimensional Dirac fermions in the presence of long-range correlated disorder

Details Two dimensional Dirac fermions in the presence of long-range correlated disorder Two dimensional Dirac fermions in the presence of long-range correlated disorder

2011-12-12

arxiv.org/abs/1112.2743v1

Phys. Rev. B 85, 125437 (2012)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

17 pages, 8 figures, revtex4

Scientific paper

10.1103/PhysRevB.85.125437

We consider 2D Dirac fermions in the presence of three types of disorder: random scalar potential, random gauge potential and random mass with long-range correlations decaying as a power law. Using various methods such as the self-consistent Born approximation (SCBA), renormalization group (RG), the matrix Green function formalism and bosonisation we calculate the density of states and study the full counting statistics of fermionic transport at lower energy. The SCBA and RG show that the random correlated scalar potentials generate an algebraically small energy scale below which the density of states saturates to a constant value. For correlated random gauge potential, RG and bosonisation calculations provide consistent behavior of the density of states which diverges at zero energy in an integrable way. In the case of correlated random mass disorder the RG flow has a nontrivial infrared stable fixed point leading to a universal power-law behavior of the density of states and also to universal transport properties. In contrast to uncorrelated case the correlated scalar potential and random mass disorders give rise to deviation from the pseudodiffusive transport already to lowest order in disorder strength.

Affiliated with

Also associated with

No associations

Rating

Two dimensional Dirac fermions in the presence of long-range correlated disorder does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Two dimensional Dirac fermions in the presence of long-range correlated disorder, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Two dimensional Dirac fermions in the presence of long-range correlated disorder will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-485309