Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantum Criticality of Semi-Dirac Fermions in 2+1 Dimensions   Two-dimensional semi-Dirac fermions are quasiparticles that disperse linearly
in one direction and quadratically in the other. We investigate instabilities
of semi-Dirac fermions towards charge, spin-density wave and superconducting
orders, driven by short-range interactions. We analyze the critical behavior of
the Yukawa theories for the different order parameters using Wilson momentum
shell RG. We generalize to a large number $N_f$ of fermion flavors to achieve
analytic control in 2+1 dimensions and calculate critical exponents at one-loop
order, systematically including $1/N_f$ corrections. The latter depend on the
specific form of the bosonic infrared propagator in 2+1 dimensions, which needs
to be included to regularize divergencies. The $1/N_f$ corrections are
surprisingly small, suggesting that the expansion is well controlled in the
physical dimension. The order-parameter correlations inherit the electronic
anisotropy of the semi-Dirac fermions, leading to correlation lengths that
diverge along the spatial directions with distinct exponents, even at the
mean-field level. We conjecture that the proximity to the critical point may
stabilize novel modulated order phases.

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The categories of this paper are: gr-qc
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The categories of this paper are: adap-org
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The categories of this paper are: solv-int
36
The categories of this paper are: cmp-lg
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The categories of this paper are: mtrl-th
31
The categories of this paper are: ao-sci
2
The categories of this paper are: math
17
The categories of this paper are: q-fin
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The categories of this paper are: hep-lat
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The categories of this paper are: chem-ph
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The categories of this paper are: math-ph
29
The categories of this paper are: funct-an
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The categories of this paper are: hep-ph
18
The categories of this paper are: econ
30
The categories of this paper are: q-alg
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The categories of this paper are: alg-geom