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Strong renormalization of the Fermi-surface topology close to the Mott transition

2012/01/31 by Luca F. Tocchio, Federico Becca, Claudius Gros · 25 citations
Mathematics · Physics and Astronomy · #Advanced Condensed Matter Physics #Condensed matter physics #Electrical resistivity and conductivity #Fermi Gamma-ray Space Telescope #Fermi surface #Hubbard model #Mathematics #Metal–insulator transition #Mott insulator #Mott transition #Physics #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #Quantum mechanics #Renormalization #Renormalization group #Superconductivity #Topological insulator #Topology (electrical circuits) #cond-mat.str-el

paper · pdf · doi:10.1103/physrevb.86.035102

published in Physical Review B 86(3) (American Physical Society) · 7 pages and 9 figures, more results on the Fermi surface

arxiv created 2012/05/14 · openalex publication_date 2012/07/05 · arxiv updated 2013/05/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

The underlying Fermi surface is a key concept for strongly interacting electron models and has been introduced to generalize the usual notion of the Fermi surface to generic (superconducting or insulating) systems. By using improved correlated wave functions that contain backflow and Jastrow terms, we examine the two-dimensional t-t^\ensuremath' Hubbard model and find a nontrivial renormalization of the topology of the underlying Fermi surface close to the Mott insulator. Moreover, we observe a sharp crossover region, which arises from the metal-insulator transition, from a weakly interacting metal at small coupling to a resonating valence-bond superconductor at intermediate coupling. A violation of the Luttinger theorem is detected at low hole dopings.

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