Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Designer fermion models in functionalized graphene bilayers   We propose a method to realize a broad class of tunable fermionic
Hamiltonians in graphene bilayer. For that matter, we consider graphene bilayer
functionalized with sp$^3$ defects that induce zero energy resonances hosting
an individual electron each. The application of an off-plane electric field
opens up a gap, so that the zero energy resonance becomes an in-gap bound state
whose confinement scales inversely with the gap. Controlling both the distance
among the defects and the applied electric field, we can define fermionic
models, even lattices, whose hoppings and Coulomb interactions can be tuned. We
consider in detail the case of triangular and honeycomb artificial lattices and
we show how, for a given arrangement of the sp$^3$ centers, these lattices can
undergo an electrically controlled transition between the weak and strong
coupling regimes.

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The categories of this paper are: quant-ph
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The categories of this paper are: atom-ph
10
The categories of this paper are: q-bio
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The categories of this paper are: bayes-an
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The categories of this paper are: solv-int
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The categories of this paper are: hep-th
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The categories of this paper are: nucl-th
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The categories of this paper are: chao-dyn
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The categories of this paper are: eess
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The categories of this paper are: econ
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The categories of this paper are: math-ph
34
The categories of this paper are: chem-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: stat
0
The categories of this paper are: hep-ph
11
The categories of this paper are: hep-lat