Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: RKKY interaction and two Kondo impurities: the complete phase diagram   Since Jones-Varma seminal works the indirect RKKY interaction is usually
modeled as independently tunable Heisenberg spin exchange. For such a model in
particle-hole-symmetric case there is always a quantum phase transition between
Kondo and RKKY phases, even in the resonant regime (i.e. when impurity-host
coupling exceeds Coulomb interaction strength). We show, that for the simple
model with RKKY interaction genuinely induced by Kondo couplings and the
inter-host interaction, either two phase transitions occur or none, depending
on the Kondo coupling strength. Each transition corresponds to destruction of
effective quasi-particles by the relevant spin exchange and occurs at spin
exchange strength of the order of the quasi-particle bandwidth. Similar results
are expected for all quantum phase transitions induced by indirect
interactions. Furthermore, we confirm earlier perturbative prediction of the
Kondo breakdown at a finite Kondo temperature, $T_K = T_K^0/e$, with $T_K$
meaning the scale where departure from high-energy local-moment regime happens,
while strong-coupling or RKKY fixed points are achieved at arbitrarily small
energy scales close to the transition. These findings may be relevant for
heavy-fermion materials via DMFT mapping. We also propose experimental setup
with 2-impurity system involving flat-band Moir\'{e} material for direct test
of our predictions.

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The categories of this paper are: solv-int
22
The categories of this paper are: chao-dyn
21
The categories of this paper are: adap-org
15
The categories of this paper are: nucl-ex
13
The categories of this paper are: quant-ph
10
The categories of this paper are: q-bio
27
The categories of this paper are: comp-gas
17
The categories of this paper are: q-fin
34
The categories of this paper are: chem-ph
6
The categories of this paper are: astro-ph
30
The categories of this paper are: q-alg
25
The categories of this paper are: patt-sol
3
The categories of this paper are: physics
12
The categories of this paper are: nucl-th
36
The categories of this paper are: cmp-lg
16
The categories of this paper are: stat