Correlated electrons systems on the Apollonian network

Abstract

Strongly correlated electrons on an Apollonian network are studied using the Hubbard model. Ground-state and thermodynamic properties, including specific heat, magnetic susceptibility, spin-spin correlation function, double occupancy and one-electron transfer, are evaluated applying direct diagonalization and quantum Monte Carlo. The results support several types of magnetic behavior. In the strong-coupling limit, the quantum anisotropic spin 1/2 Heisenberg model is used and the phase diagram is discussed using the renormalization group method. For ferromagnetic coupling, we always observe the existence of long-range order. For antiferromagnetic coupling, we find a paramagnetic phase for all finite temperatures.

7 pages, 8 figures

References in corpus (8)

• Statistical mechanics of complex networks
• Evolution of networks
• Ferromagnetic Phase Transition in Barabasi-Albert Networks
• Self-similar disk packings as model spatial scale-free networks
• Magnetic models on Apollonian networks
• Localization transition on complex networks via spectral statistics
• Dynamical mean field study of the Mott transition in the half-filled Hubbard model on a triangular lattice
• Finite-$U$ induced competing interactions, frustration, and quantum phase transition in a triangular-lattice antiferromagnet

Cited by in corpus (9)

• Complex Quantum Networks: a Topical Review
• Coherent transport on Apollonian networks and continuous-time quantum walks
• Localization properties of a tight-binding electronic model on the Apollonian network
• Phase diagram of the Bose-Hubbard Model on Complex Networks
• Phase transition of light on complex quantum networks
• Quantum transport with coupled cavities on the Apollonian network
• Superconductor-insulator transition in a network of 2d percolation clusters
• Infinitely Robust Order and Local Order-Parameter Tulips in Apollonian Networks with Quenched Disorder
• Binary Apollonian networks