Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Projection of Infinite-$U$ Hubbard Model and Algebraic Sign Structure   We propose a projection approach to perform quantum Monte Carlo (QMC)
simulation on the infinite-$U$ Hubbard model at some integer fillings where
either it is sign problem free or surprisingly has an algebraic sign structure
-- a power law dependence of average sign on system size. We demonstrate our
scheme on the infinite-$U$ $SU(2N)$ fermionic Hubbard model on both a square
and honeycomb lattice at half-filling, where it is sign problem free, and
suggest possible correlated ground states. The method can be generalized to
study certain extended Hubbard models applying to cluster Mott insulators or
two-dimensional Moir\'e systems; among one of them at certain non-half-integer
filling, the sign has an algebraic behavior such that it can be numerically
solved within a polynomial time. Further, our projection scheme can also be
generalized to implement the Gutzwiller projection to spin basis such that
$SU(2N)$ quantum spin models and Kondo lattice models may be studied in the
framework of fermionic QMC simulations.

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The categories of this paper are: hep-ph
15
The categories of this paper are: nucl-ex
37
The categories of this paper are: supr-con
13
The categories of this paper are: quant-ph
12
The categories of this paper are: nucl-th
27
The categories of this paper are: comp-gas
30
The categories of this paper are: q-alg
7
The categories of this paper are: hep-th
34
The categories of this paper are: chem-ph
9
The categories of this paper are: nlin
26
The categories of this paper are: bayes-an
2
The categories of this paper are: math
5
The categories of this paper are: gr-qc
6
The categories of this paper are: astro-ph
32
The categories of this paper are: atom-ph
31
The categories of this paper are: ao-sci