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Disorder and interactions in graphene and other quantum systems

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Figure 1.4: (Taken from Ref. [35]). Absorption images of a BEC in a quasiperiodicoptical lattice at different times and disorder values
Figure 1.6: Diagram to explain the decomposition of the electron coordinate into aguiding centre,area where an electron in a given LL with a given value of the oscillator quantumnumber, X, and a relative coordinate, R
Figure 1.8:(Produced using source code from the Wolfram DemonstrationsandProject).Plot of the electronic dispersion relation, E pkq, for the case t  3eV t1  0 i.e
Figure 2.2: Phase diagram for the BCC lattice. The cyan region represents theapproximate location of the phase boundary
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Outline

Massless Dirac Fermions Applications Nonlinear fitting Geometrical symmetries of the interacting Hamiltonian Young diagrams Numerical results

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