2009/03/17 by Hunpyo Lee, Lee, Hunpyo, H. Monien +1
Chemical Engineering · Physics and Astronomy · #Advanced Condensed Matter Physics #Catalysis and Oxidation Reactions #FOS: Physical sciences #Strongly Correlated Electrons (cond-mat.str-el) #Theoretical and Computational Physics
paper · pdf · doi:10.48550/arxiv.0903.3005
openalex publication_date 2009/03/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Motivated by recent experiment on the Na4Ir3O8 compound we study the Hubbard model on the "hyper-kagome lattice", which forms a three-dimensional network of corner sharing triangles, using dynamical cluster approximation (DCA) method with Nc=12 combined with the continuous-time quantum Monte Carlo (CT QMC) method. The system undergoes a Mott transition if the Hubbard interaction U/W (W is the bandwidth) exceeds the value of 1.2 for T=0.1 and displays reentrant behavior due to competition between the magnetic correlation and the kinetic energy of electrons due to the geometrical frustration. We observe a "critical slowing down" of the double occupancy which shows evidence of a continuous transition. The nearest-neighbor and next nearest-neighbor spin-spin correlations indicate a paramagnetic metallic state in the weak-coupling regime and an antiferromagnetic (AF) Mott insulator in the strong-coupling regime within the temperature range which we can access with our numerical tools.