Entanglement Spectrum in Cluster Dynamical Mean-Field Theory

Abstract

We study the entanglement spectrum of the Hubbard model at half filling on a kagome lattice. The entanglement spectrum is defined by the set of eigenvalues of reduced thermal density matrix, which is naturally obtained in the framework of the dynamical mean-field theory. Adopting the cluster dynamical mean-field theory combined with continuous-time auxiliary-field Monte Carlo method, we calculate the entanglement spectrum for a three-site triangular cluster in the kagome Hubbard model. We find that the results at the three-particle sector well captures the qualitative nature of the system. In particular, the eigenvalue of the reduced density matrix, corresponding to the chiral degrees of freedom, exhibits characteristic temperature scale T_{\rm chiral}, below which a metallic state with large quasiparticle mass is stabilized. The entanglement spectra at different particle number sectors also exhibit characteristic changes around T_{\rm chiral}, implying the development of inter-triangular ferromagnetic correlations in the correlated metallic regime.

arXiv comment9 pages, 4 figures, submitted to Journal of Statistical Mechanics as a proceedings of ESICQW12

References in corpus (8)

• Cellular Dynamical Mean Field Approach to Strongly Correlated Systems
• Continuous-time auxiliary field Monte Carlo for quantum impurity models
• Mott transition in Kagomé lattice Hubbard model
• Magnetic correlations in the Hubbard model on triangular and Kagome lattices
• Low-energy excitations of the Hubbard model on the Kagomé lattice
• Chirality-driven mass enhancement in the kagome Hubbard model
• Mott transition in the Hubbard model on the anisotropic kagomé lattice
• Chirality-spin separation in the Hubbard model on the kagome lattice

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