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Suppression of the charge fluctuations by nonlocal correlations close to the Mott transition

Titvinidze, Irakli; Stobbe, Julian; Leusch, Marvin; Rohringer, Georg

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    <subfield code="a">&lt;p&gt;In this paper, we investigate the impact of nonlocal correlations on charge fluctuations in the&lt;br&gt;
two-dimensional single-band Hubbard model close to the Mott metal-to-insulator transition, em-&lt;br&gt;
ploying the ladder dynamical vertex approximation. At half-filling and for interaction strengths and&lt;br&gt;
temperatures where the system is in the Mott insulating phase, charge fluctuations are strongly&lt;br&gt;
suppressed. Under these conditions, dynamical mean-field theory (DMFT) calculations predict a&lt;br&gt;
strong enhancement of the charge susceptibility at small (electron or hole) doping. However, these&lt;br&gt;
DMFT results include only the effects of purely local correlations despite the importance of nonlo-&lt;br&gt;
cal correlations in two-dimensional systems. We have, hence, carried out ladder dynamical vertex&lt;br&gt;
approximation (lD&amp;Gamma;A) simulations which allow for the inclusion of such nonlocal correlation effects&lt;br&gt;
while retaining the local ones of DMFT. Our lD&amp;Gamma;A numerical data show that close to half-filling&lt;br&gt;
the large uniform charge susceptibility of DMFT is strongly suppressed by nonlocal fluctuations but&lt;br&gt;
gradually increases with (electron) doping. At a certain doping value, charge fluctuations eventually&lt;br&gt;
become larger in lD&amp;Gamma;A with respect to DMFT indicating that the absence of nonlocal correlations&lt;br&gt;
underestimates the mobility of the charge carriers in this parameter regime. This metallization effect&lt;br&gt;
is also reflected in an enhancement of the lD&amp;Gamma;A kinetic and potential energies and a corresponding&lt;br&gt;
reduction of the (absolute value of the) lD&amp;Gamma;A Matsubara self-energy with respect to DMFT.&lt;/p&gt;</subfield>
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Publication date:
July 17, 2025
DOI:
10.25592/uhhfdm.17952

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