Related Experiment Video
Updated: May 25, 2026

Using Microwave and Macroscopic Samples of Dielectric Solids to Study the Photonic Properties of Disordered Photonic Bandgap Materials
Published on: September 26, 2014
Critical properties of the half-filled Hubbard model in three dimensions
G Rohringer1, A Toschi, A Katanin
1Institute for Solid State Physics, Vienna University of Technology, 1040 Vienna, Austria.
Abstract:
By means of the dynamical vertex approximation (DΓA) we include spatial correlations on all length scales beyond the dynamical mean-field theory (DMFT) for the half-filled Hubbard model in three dimensions. The most relevant changes due to nonlocal fluctuations are (i) a deviation from the mean-field critical behavior with the same critical exponents as for the three dimensional Heisenberg (anti)ferromagnet and (ii) a sizable reduction of the Néel temperature (T(N)) by ~30% for the onset of antiferromagnetic order. Finally, we give a quantitative estimate of the deviation of the spectra between DΓA and DMFT in different regions of the phase diagram.
Related Concept Videos
Structure of Benzene: Molecular Orbital Model
Molecular Models
First Law: Particles in Two-dimensional Equilibrium
Newton's first law tells us about the...
Metallic Solids
All metallic solids exhibit high thermal and electrical conductivity, metallic luster, and malleability. Many...
The Quantum-Mechanical Model of an Atom
Generalized Hooke's Law

