Characterizing Mott Insulators in the Interacting One-Body Picture

2025/11/10 by Theo N. Dionne, Théo Nathaniel Dionne, Dionne, Theo N. +6
Physics and Astronomy · #Physics of Superconductivity and Magnetism #Quantum many-body systems #Topological Materials and Phenomena #cond-mat.str-el

paper · pdf · doi:10.48550/arxiv.2511.07331

openalex publication_date 2025/11/10 · openalex created_date 2025/11/12 · openalex updated_date 2026/08/01

Abstract

The one-body picture underlies our understanding of weakly interacting solids but breaks down in strongly correlated systems. We develop a general framework, based on the single-particle Green's function and the one-body reduced density matrix (1RDM), to characterize correlated electronic phases. Applying it to the Hubbard diamond chain, we combine density matrix renormalization group and cellular dynamical mean-field theory to construct symmetry-resolved effective orbitals and track their evolution across its Mott transitions, while the 1RDM purity provides a scalar indicator of the phase boundaries. These tools offer a general route to extend one-body concepts to correlated materials.

Citations

• The density-matrix renormalization group in the age of matrix product states
• Matrix product states, projected entangled pair states, and variational renormalization group methods for quantum spin systems

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