Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Wannier Pairs in the Superconducting Twisted Bilayer Graphene and
  Related Systems   Unconventional superconductivity often arises from Cooper pairing between
neighboring atomic sites, stipulating a characteristic pairing symmetry in the
reciprocal space. The twisted bilayer graphene (TBG) presents a new setting
where superconductivity emerges on the flat bands whose Wannier wavefunctions
spread over many graphene unit cells, forming the so-called Moir\'e pattern. To
unravel how Wannier states form Cooper pairs, we study the interplay between
electronic, structural, and pairing instabilities in TBG. For comparisons, we
also study graphene on boron-nitride (GBN) possessing a different Moir\'e
pattern, and single-layer graphene (SLG) without a Moir\'e pattern. For all
cases, we compute the pairing eigenvalues and eigenfunctions by solving a
linearized superconducting gap equation, where the spin-fluctuation mediated
pairing potential is evaluated from materials specific tight-binding band
structures. We find an extended $s$-wave as the leading pairing symmetry in
TBG, in which the nearest-neighbor Wannier sites form Cooper pairs with same
phase. In contrast, GBN assumes a $p+ip$-wave pairing between nearest-neighbor
Wannier states with odd-parity phase, while SLG has the $d+id$-wave symmetry
for inter-sublattice pairing with even-parity phase. Moreover, while $p+ip$,
and $d+id$ pairings are chiral, and nodeless, but the extended $s$-wave channel
possesses accidental {\it nodes}. The nodal pairing symmetry makes it easily
distinguishable via power-law dependencies in thermodynamical entities, in
addition to their direct visualization via spectroscopies.

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The categories of this paper are: adap-org
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The categories of this paper are: math-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: cs
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The categories of this paper are: acc-phys
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The categories of this paper are: q-bio
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The categories of this paper are: cmp-lg
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The categories of this paper are: hep-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: quant-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: econ
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The categories of this paper are: q-fin
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The categories of this paper are: chem-ph
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The categories of this paper are: astro-ph