Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Kinetics of thermal Mott transitions in the Hubbard model   We present the first-ever multi-scale dynamical simulation of the
temperature-controlled Mott metal-insulator transition in the Hubbard model. By
integrating advanced electronic structure method and an efficient
Gutzwiller/slave-boson solver into molecular dynamics simulations, we
demonstrate that the transformation from a correlated metal to the Mott
insulating phase proceeds via the nucleation and growth of the Mott droplets.
Moreover, the time evolution of the Mott volume fraction is found to follow a
universal transformation kinetics. We show that after an initial incubation
period, the early stage of the phase transformation is characterized by a
constant nucleation rate and an interface-controlled cluster growth mechanism,
consistent with the classical theory developed by Kolmogorov, Johnson, Mehl,
and Avrami. This is followed by a novel intermediate stage of accelerated phase
transformation that is significantly different from the prediction of the
classical theory. Moreover, the cluster-growth dynamics in this intermediate
stage exhibits an unexpected avalanche behavior, similar to the Barkhausen
noise in magnetization dynamics, even in the absence of quenched disorder.
Detailed structural characterization further uncovers a universal correlation
function for the transient mixed-phase states of the Mott transition. We also
discuss implications of our findings for spatially resolved measurements of
Mott metal-insulator transition obtained in recent nano-imaging experiments.

18
The categories of this paper are: econ
22
The categories of this paper are: chao-dyn
10
The categories of this paper are: q-bio
35
The categories of this paper are: mtrl-th
16
The categories of this paper are: stat
20
The categories of this paper are: acc-phys
7
The categories of this paper are: hep-th
31
The categories of this paper are: ao-sci
14
The categories of this paper are: math-ph
32
The categories of this paper are: atom-ph
26
The categories of this paper are: bayes-an
13
The categories of this paper are: quant-ph
34
The categories of this paper are: chem-ph
0
The categories of this paper are: hep-ph
12
The categories of this paper are: nucl-th
1
The categories of this paper are: cs