Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Mott Transition in the Hubbard model   In this article, I discuss W.Kohn's criterion for a metal insulator
transition, within the framework of a one band Hubbard model. This and related
ideas are applied to 1-dimensional Hubbard systems, and some intersting
miscellaneous results discussed. The Jordan Wigner transformation converting
the two species of fermions to two species of hardcore bosons is performed in
detail, and the ``extra phases'' arising from odd-even effects are explicitly
derived. Bosons are shown to prefer zero flux (i.e. diamagnetism), and the
corresponding ``happy fluxes'' for the fermions identified. A curious result
following from the interplay between orbital diamagnetism and spin polarization
is highlighted.
  A ``spin-statistics'' like theorem, showing that the anticommutation
relations between fermions of opposite spin are crucial to obtain the SU(2)
invariance is pointed out.

11
The categories of this paper are: hep-lat
9
The categories of this paper are: nlin
15
The categories of this paper are: nucl-ex
23
The categories of this paper are: solv-int
29
The categories of this paper are: funct-an
27
The categories of this paper are: comp-gas
28
The categories of this paper are: alg-geom
1
The categories of this paper are: cs
30
The categories of this paper are: q-alg
3
The categories of this paper are: physics
33
The categories of this paper are: plasm-ph
17
The categories of this paper are: q-fin
10
The categories of this paper are: q-bio
19
The categories of this paper are: eess
14
The categories of this paper are: math-ph
35
The categories of this paper are: mtrl-th