# Local density of states of electron-crystal phases in graphene in the quantum Hall regime - Condensed Matter > Mesoscale and Nanoscale Physics

Local density of states of electron-crystal phases in graphene in the quantum Hall regime - Condensed Matter > Mesoscale and Nanoscale Physics - Download this document for free, or read online. Document in PDF available to download.

Abstract: We calculate, within a self-consistent Hartree-Fock approximation, the localdensity of states for different electron crystals in graphene subject to astrong magnetic field.

We investigate both the Wigner crystal and bubblecrystals with M e electrons per lattice site.

The total density of statesconsists of several pronounced peaks, the number of which in the negativeenergy range coincides with the number of electrons M e per lattice site, asfor the case of electron-solid phases in the conventional two-dimensionalelectron gas.

Analyzing the local density of states at the peak energies, wefind particular scaling properties of the density patterns if one fixes theratio nu N-M e between the filling factor nu N of the last partially filledLandau level and the number of electrons per bubble.

Although the total densityprofile depends explicitly on M e, the local density of states of the lowestpeaks turns out to be identical regardless the number of electrons M e.

Whereasthese electron-solid phases are reminiscent to those expected in theconventional two-dimensional electron gas in GaAs heterostructures in thequantum Hall regime, the local density of states and the scaling relations wehighlight in this paper may be, in graphene, directly measured by spectroscopicmeans, such as e.g.

scanning tunneling microscopy.

Author: ** O.Poplavskyy, M.O.Goerbig, C.Morais Smith**

Source: https://arxiv.org/