Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Hyperscaling violation at the Ising-nematic quantum critical point in
  two dimensional metals   Understanding optical conductivity data in the optimally doped cuprates in
the framework of quantum criticality requires a strongly-coupled quantum
critical metal which violates hyperscaling. In the simplest scaling framework,
hyperscaling violation can be characterized by a single non-zero exponent
$\theta$, so that in a spatially isotropic state in $d$ spatial dimensions, the
specific heat scales with temperature as $T^{(d-\theta)/z}$, and the optical
conductivity scales with frequency as $\omega^{(d-\theta-2)/z}$ for $\omega \gg
T$, where $z$ is the dynamic critical exponent. We study the Ising-nematic
critical point, using the controlled dimensional regularization method proposed
by Dalidovich and Lee (Phys. Rev. B {\bf 88}, 245106 (2013)). We find that
hyperscaling is violated, with $\theta =1$ in $d=2$. We expect that similar
results apply to Fermi surfaces coupled to gauge fields in $d=2$.

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The categories of this paper are: atom-ph
29
The categories of this paper are: funct-an
9
The categories of this paper are: nlin
0
The categories of this paper are: hep-ph
8
The categories of this paper are: hep-ex
35
The categories of this paper are: mtrl-th
18
The categories of this paper are: econ
22
The categories of this paper are: chao-dyn
5
The categories of this paper are: gr-qc
23
The categories of this paper are: solv-int
19
The categories of this paper are: eess
30
The categories of this paper are: q-alg
13
The categories of this paper are: quant-ph
37
The categories of this paper are: supr-con
10
The categories of this paper are: q-bio
36
The categories of this paper are: cmp-lg