Hubbard model vs. Kondo model: Strong coupling limit

2020/10/23 by Ilya Ivantsov, Ivantsov, Ilya, Álvaro Antônio Bandeira Ferraz +3
Physics and Astronomy · Mathematics · #Quantum many-body systems #Algebraic structures and combinatorial models

paper · pdf · doi:10.48550/arxiv.2010.12255

Abstract

The Hubbard model and the lattice Kondo model are shown to become identical in the strong-coupling limit. A departure from the strong-coupling regime produces distinct theories, however: the relevant perturbation terms give rise to either short-range spin exchange (t-J model) or short-range charge exchange (t-V model), respectively.

Related

• Duality in the Kondo model and perturbative approach to strong coupling theory
• Changes to the t-J Model From Inclusion of Two-Site Nearest-Neighbor\n Coulomb Interactions
• Adiabatic Continuation between Resonating-Valence-Bond Electron and Spin Liquids
• Effective spinless fermions in the strong-coupling Kondo model
• The Hubbard Model: Introduction and Selected Rigorous Results