Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Emergent soft-gap Anderson models at quantum criticality in a lattice
  Hamiltonian within dynamical mean field theory   Local quantum criticality in itinerant fermion systems has been extensively
investigated through the soft-gap Anderson impurity model, wherein a localized,
correlated impurity, hybridizes with a broad conduction band with a singular,
$|\omega|^r$, density of states. However, lattice models hosting quantum
critical points (QCPs), do not appear to have such a spectrum emerging at the
QCP. In this work, we report the emergence of such a singular form of the
density of states in a three-orbital lattice model, within dynamical mean field
theory, precisely at a quantum critical point, separating a gapless, Fermi
liquid, metallic phase from a gapped, Mott insulating phase. The corresponding
Matsubara self-energy is observed to have a form, $-{\rm Im}\Sigma(i\omega_n\to
0)\sim |\omega_n|^{\alpha}$, with the temperature-dependent exponent $\alpha$
varying from $+1$ deep in the FL regime, to $-1$ in the Mott insulator regime.
Interestingly, we find that $\alpha$ becomes temperature independent, and hence
isosbestic, precisely at the QCP. The isosbestic exponent is shown to be a
consequence of an emergent soft-gap spectrum, $|\omega|^r$ at the QCP, where $r
= -\alpha_{\rm iso}$. We discuss the implications of our findings for non-Fermi
liquid behaviour in the quantum critical region of the phase diagram.

20
The categories of this paper are: acc-phys
0
The categories of this paper are: hep-ph
12
The categories of this paper are: nucl-th
26
The categories of this paper are: bayes-an
27
The categories of this paper are: comp-gas
36
The categories of this paper are: cmp-lg
15
The categories of this paper are: nucl-ex
23
The categories of this paper are: solv-int
1
The categories of this paper are: cs
18
The categories of this paper are: econ
37
The categories of this paper are: supr-con
14
The categories of this paper are: math-ph
5
The categories of this paper are: gr-qc
7
The categories of this paper are: hep-th
25
The categories of this paper are: patt-sol
32
The categories of this paper are: atom-ph