Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Mott insulators and the doping-induced Mott transition within DMFT:
  exact results for the one-band Hubbard model   The paramagnetic phase of the one-band Hubbard model is studied at
zero-temperature, within the framework of dynamical mean-field theory, and for
general particle-hole asymmetry where a doping-induced Mott transition occurs.
Our primary focus is the Mott insulator (MI) phase, and our main aim to
establish what can be shown exactly about it. To handle the locally
doubly-degenerate MI requires two distinct self-energies, which reflect the
broken symmetry nature of the phase and together determine the standard single
self-energy. Exact results are obtained for the local charge, local magnetic
moment and associated spin susceptibilities, the interaction-renormalised
levels, and the low-energy behaviour of the self-energy in the MI phase. The
metallic phase is also considered briefly, and shown to acquire an emergent
particle-hole symmetry as the Mott transition is approached. Throughout the
metal, Luttinger's theorem is reflected in the vanishing of the Luttinger
integral; for the generic MI by contrast this is shown to be non-vanishing, but
again to have a universal magnitude. Numerical results are also obtained using
NRG, for the metal/MI phase boundary, the scaling behaviour of the charge as
the Mott transition is aproached from the metal, and associated universal
scaling of single-particle dynamics as the low-energy Kondo scale vanishes.

20
The categories of this paper are: acc-phys
37
The categories of this paper are: supr-con
7
The categories of this paper are: hep-th
33
The categories of this paper are: plasm-ph
19
The categories of this paper are: eess
12
The categories of this paper are: nucl-th
34
The categories of this paper are: chem-ph
28
The categories of this paper are: alg-geom
21
The categories of this paper are: adap-org
2
The categories of this paper are: math
6
The categories of this paper are: astro-ph
9
The categories of this paper are: nlin
26
The categories of this paper are: bayes-an
16
The categories of this paper are: stat
15
The categories of this paper are: nucl-ex
22
The categories of this paper are: chao-dyn