Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Exact Ground States of the Periodic Anderson Model in D=3 Dimensions   We construct a class of exact ground states of three-dimensional periodic
Anderson models (PAMs) -- including the conventional PAM -- on regular Bravais
lattices at and above 3/4 filling, and discuss their physical properties. In
general, the f electrons can have a (weak) dispersion, and the hopping and the
non-local hybridization of the d and f electrons extend over the unit cell. The
construction is performed in two steps. First the Hamiltonian is cast into
positive semi-definite form using composite operators in combination with
coupled non-linear matching conditions. This may be achieved in several ways,
thus leading to solutions in different regions of the phase diagram. In a
second step, a non-local product wave function in position space is constructed
which allows one to identify various stability regions corresponding to
insulating and conducting states. The compressibility of the insulating state
is shown to diverge at the boundary of its stability regime. The metallic phase
is a non-Fermi liquid with one dispersing and one flat band. This state is also
an exact ground state of the conventional PAM and has the following properties:
(i) it is non-magnetic with spin-spin correlations disappearing in the
thermodynamic limit, (ii) density-density correlations are short-ranged, and
(iii) the momentum distributions of the interacting electrons are analytic
functions, i.e., have no discontinuities even in their derivatives. The
stability regions of the ground states extend through a large region of
parameter space, e.g., from weak to strong on-site interaction U. Exact
itinerant, ferromagnetic ground states are found at and below 1/4 filling.

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The categories of this paper are: cs
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The categories of this paper are: acc-phys
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The categories of this paper are: q-fin
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The categories of this paper are: q-bio
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The categories of this paper are: nucl-ex
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The categories of this paper are: supr-con
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The categories of this paper are: econ
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The categories of this paper are: patt-sol
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The categories of this paper are: mtrl-th
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The categories of this paper are: comp-gas
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The categories of this paper are: cmp-lg
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The categories of this paper are: nucl-th
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The categories of this paper are: bayes-an
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The categories of this paper are: chem-ph
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The categories of this paper are: solv-int
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The categories of this paper are: gr-qc