The Mott transition as a topological phase transition

Abstract

We show that the Mott metal-insulator transition in the standard one-band Hubbard model can be understood as a topological phase transition. Our approach is inspired by the observation that the mid-gap pole in the self-energy of a Mott insulator resembles the zero-energy spectral pole of the localized surface state in a topological insulator. We use NRG-DMFT to solve the infinite-dimensional Hubbard model, and represent the resulting local self-energy in terms of the boundary Green's function of an auxiliary tight-binding chain without interactions. The auxiliary system is of generalized SSH model type; the Mott transition corresponds to a dissociation of domain walls.

arXiv comment4+ pages, 5 figures, plus supplementary material

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• Local magnetic moment formation and Kondo screening in the half filled two dimensional single band Hubbard model
• DC Hall coefficient of the strongly correlated Hubbard model
• Interacting Topological Quantum Chemistry in 2D: Many-body Real Space Invariants
• Mott transition for a Lieb-Liniger gas in a shallow quasiperiodic potential: Delocalization induced by disorder
• Universality of Boundary Charge Fluctuations
• Squashed entanglement in one-dimensional quantum matter
• Dynamic charge Kondo effect and a slave fermion approach to the Mott transition
• Model studies of topological phase transitions in materials with two types of magnetic atoms
• Quantitative Determination of the Critical Points of Mott Metal-Insulator Transition in Strongly Correlated Systems
• Kondo frustration via charge fluctuations: a route to Mott localisation
• Low-energy structure and topology of the two-band Hubbard-Kanamori model
• Machine Learning Green's Functions of Strongly Correlated Hubbard Models
• Strongly correlated Josephson junction: proximity effect in the single-layer Hubbard model