Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Dilute magnetic moments in an exactly solvable interacting host   Despite concerted efforts, the problem of dilute local moments embedded in a
correlated conduction electron host such as Nd$_{1-x}$Ce$_x$CuO$_2$ persists
due to lack of analytically controllable models. Here, we address the question:
how do local moments couple to correlated but integrable hosts? We describe the
conduction electrons by the model of Hatsugai-Kohmoto (HK) which has undergone
a recent resurgence arising from its exact solvability, existence of Luttinger
surfaces, and connections to Sachdev-Ye-Kitaev (SYK) thermodynamics. We derive
an exact low energy "Kondo-HK" Hamiltonian and show the existence of additional
spin-exchange coupling that is relevant in the renormalization group (RG)
sense. This term is ferromagnetic and does not vanish at low energies yielding
an algebraic enhancement of the Kondo temperature. "Poor man's" scaling of
couplings exhibits an exotic step-like RG flow between UV-IR fixed points
attributed to severely restricted scattering phase space. This phenomenon is
analogous to the flow of central charge in Zamolodchikov's diagonal resonance
scattering in integrable quantum field theories.

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The categories of this paper are: nucl-th
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The categories of this paper are: eess
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The categories of this paper are: quant-ph
6
The categories of this paper are: astro-ph
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The categories of this paper are: econ
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The categories of this paper are: stat
0
The categories of this paper are: hep-ph
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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: nlin
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The categories of this paper are: solv-int
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The categories of this paper are: gr-qc
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The categories of this paper are: cmp-lg
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The categories of this paper are: chem-ph
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The categories of this paper are: acc-phys