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@ARTICLE{Raczkowski:885470,
author = {Raczkowski, Marcin and Assaad, Fakher F.},
title = {{P}hase diagram and dynamics of the ${SU}({N})$ symmetric
{K}ondo lattice model},
journal = {Physical review research},
volume = {2},
number = {1},
issn = {2643-1564},
address = {College Park, MD},
publisher = {APS},
reportid = {FZJ-2020-03853},
pages = {013276},
year = {2020},
abstract = {In heavy-fermion systems, the competition between the local
Kondo physics and intersite magnetic fluctuations results in
unconventional quantum critical phenomena which are
frequently addressed within the Kondo lattice model (KLM).
Here we study this interplay in the SU(N) symmetric
generalization of the two-dimensional half-filled KLM by
quantum Monte Carlo simulations with N up to 8. While the
long-range antiferromagnetic (AF) order in SU(N) quantum
spin systems typically gives way to spin-singlet ground
states with spontaneously broken lattice symmetry, we find
that the SU(N) KLM is unique in that for each finite N its
ground-state phase diagram hosts only two phases—AF order
and the Kondo-screened phase. The absence of any
intermediate phase between the N=2 and large-N cases
establishes adiabatic correspondence between both limits and
confirms that the large-N theory is a correct saddle point
of the KLM fermionic path integral and a good starting point
to include quantum fluctuations. In addition, we determine
the evolution of the single-particle gap, quasiparticle
residue of the doped hole at momentum $(π,π)$, and spin
gap across the magnetic order-disorder transition. Our
results indicate that increasing N modifies the behavior of
the coherence temperature: while it evolves smoothly across
the magnetic transition at N=2 it develops an abrupt
jump—of up to an order of magnitude—at larger but finite
N. We discuss the magnetic order-disorder transition from a
quantum-field-theoretic perspective and comment on
implications of our findings for the interpretation of
experiments on quantum critical heavy-fermion compounds.},
ddc = {530},
pnm = {899 - ohne Topic (POF4-899) / Numerical simulations of
strongly correlated electron systems. $(hwb03_20190501)$},
pid = {G:(DE-HGF)POF4-899 / $G:(DE-Juel1)hwb03_20190501$},
typ = {PUB:(DE-HGF)16},
doi = {10.1103/PhysRevResearch.2.013276},
url = {https://juser.fz-juelich.de/record/885470},
}