Dresden 2020 – wissenschaftliches Programm

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TT: Fachverband Tiefe Temperaturen

TT 71: Correlated Electrons: Other Theoretical Topics

TT 71.5: Vortrag

Freitag, 20. März 2020, 10:30–10:45, HSZ 304

Influence of lattice geometry and dimensionality on the critical properties of magnetic transitions: A dynamical vertex approximation analysis — •Andreas Hausoel1, Georg Rohringer2, Thomas Schäfer3, Giorgio Sangiovanni1, and Alessandro Toschi41University of Würzburg, Germany — 2University of Hamburg, Germany — 3École Polytechnique and Collège de France, Paris, France — 4Technical University of Vienna, Austria

We present a fundamental analysis of the effects of non-local spatial correlations on the magnetic transitions in different lattice types. To this aim, we have applied the dynamical vertex approximation (DΓA), a non-perturbative diagrammatic extension [1] of the dynamical mean-field theory (DMFT), to the simple, the body-centered and face-centered cubic lattices to the corresponding DMFT ones.

While an overall reduction of the differences in the transition temperatures and critical properties w.r.t. DMFT for lattices with increasing coordination number is expected, our analysis will elucidate the underlying aspects of this trend. In particular, we investigate the difference between an increase of the coordination number by changing the lattice type (i.e., keeping space dimension fixed) and by increasing the space dimensions (for a selected lattice type).

[1] Rohringer, Toschi, et al., Rev. Mod. Phys. 90, 025003 (2018)

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