An integrable Anderson-impurity problem embedded in the one-dimensional Hubbard model

2025/09/09 by Song, Renjie, Zheng, Mingchen, Cao, Junpeng +1
#FOS: Physical sciences #Mathematical Physics (math-ph)

paper · doi:10.48550/arxiv.2509.07799

Abstract

An exactly solvable one-dimensional Hubbard model with a single Anderson impurity embedded at the boundary is constructed in the framework of the quantum inverse scattering method. The model is solved exactly by the nested Bethe ansatz method. We identify the boundary bound states and determine the ground state phase diagram. By deriving the impurity contribution to the magnetic susceptibility, we show that in the dilute electron limit, a nearly free local moment forms at the impurity site, while at finite electron densities, the impurity spin is screened by the host electrons, consistent with Kondo physics.

Citations

• Boundary conditions for integrable quantum systems
• THE QUANTUM METHOD OF THE INVERSE PROBLEM AND THE HEISENBERG XYZ MODEL
• The renormalization group: Critical phenomena and the Kondo problem
• Relation between the Anderson and Kondo Hamiltonians
• Resistance Minimum in Dilute Magnetic Alloys

Related

• Two Anderson Impurities in the Kondo Limit. Systematic Study
• The Kondo effect in the quantum XX spin chain
• The Kondo impurity in the large spin limit
• Two Anderson Impurity problem: Kondo-doublets beyond the Kondo Limit
• The atomic approach of the Anderson model for the U finite case: application to a quantum dot