# Random gap model for graphene and graphene bilayers

Source: [Random gap model for graphene and graphene bilayers](<https://www.sota2.com/research/paper/68fa23752c2a376019397e67>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-28T13:52:31.334Z

Authors: K. Ziegler

Published: 2008-11-24T17:37:32.000Z

## Abstract

The effect of a randomly fluctuating gap, created by a random staggered potential, is studied in a monolayer and a bilayer of graphene. The density of states, the one-particle scattering rate and transport properties (diffusion coefficient and conductivity) are calculated at the neutrality point. All these quantities vanish at a critical value of the average staggered potential, signaling a continuous transition to an insulating behavior. The calculations are based on the self-consistent Born approximation for the one-particle scattering rate and a massless mode of the two-particle Green's function which is created by spontaneous symmetry breaking. Transport quantities are directly linked to the one-particle scattering rate. Moreover, the effect of disorder is very weak in the case of a monolayer but much stronger in bilayer graphene.

## Recorded benchmark results

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/0811.3932>)

[PDF](<https://arxiv.org/pdf/0811.3932.pdf>)