Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Non-Hertz-Millis scaling of the antiferromagnetic quantum critical metal
  via scalable Hybrid Monte Carlo   We numerically study the $\mathrm{O}(3)$ spin-fermion model, a minimal model
of the onset of antiferromagnetic spin-density wave (SDW) order in a
two-dimensional metal. We employ a Hybrid Monte Carlo (HMC) algorithm with a
novel auto-tuning procedure, which learns the optimal HMC hyperparameters in an
initial warmup phase. This allows us to study unprecedentedly large systems,
even at criticality. At the quantum critical point, we find a critical scaling
of the dynamical spin susceptibility $\chi(\omega, \vec q)$ that strongly
violates the Hertz-Millis form, which is the first demonstrated instance of
such a phenomenon in this model. The form that we do observe provides strong
evidence that the universal scaling is actually governed by the fixed point
near perfect hot-spot nesting of Schlief, Lunts, and Lee [Phys. Rev. X 7,
021010 (2017)], even away from perfect nesting. Our work provides a concrete
link between controlled calculations of SDW metallic criticality in the
long-wavelength and small nesting angle limits and a microscopic finite-size
model at realistic appreciable values of the nesting angle. Additionally, the
HMC method we introduce is generic and can be used to study other fermionic
models of quantum criticality, where there is a strong need to simulate large
systems.

28
The categories of this paper are: alg-geom
9
The categories of this paper are: nlin
37
The categories of this paper are: supr-con
6
The categories of this paper are: astro-ph
11
The categories of this paper are: hep-lat
7
The categories of this paper are: hep-th
12
The categories of this paper are: nucl-th
26
The categories of this paper are: bayes-an
24
The categories of this paper are: dg-ga
27
The categories of this paper are: comp-gas
2
The categories of this paper are: math
13
The categories of this paper are: quant-ph
23
The categories of this paper are: solv-int
5
The categories of this paper are: gr-qc
1
The categories of this paper are: cs
35
The categories of this paper are: mtrl-th