arXiv:2509.07799 · Nuclear Physics B

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

Renjie Song, Mingchen Zheng, Junpeng Cao, Yupeng Wang

Published Nov 14, 2025• 0 citations

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 analyzing the impurity contributions to the magnetization density and magnetic susceptibility, we demonstrate that a local moment is formed at the impurity site and is screened by the host electrons, consistent with Kondo physics.

DOI: 10.1016/j.nuclphysb.2025.117208

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arXiv:2509.07799 · Nuclear Physics B

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

Renjie Song, Mingchen Zheng, Junpeng Cao, Yupeng Wang

Published Nov 14, 2025• 0 citations

arXiv HTML PDF

Abstract

DOI: 10.1016/j.nuclphysb.2025.117208

Related papers

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The Hubbard chain with a magnetic impurity of arbitrary spin

S

is studied using the Bethe ansatz technique. We consider two kinds of impurities which interact with itinerant electrons on the neighboring lattice sites without destroying the integrability. The correlations in the host always induce valence fluctuations at the impurity site. For a repulsive Hubbard

U

, an impurity coupled via antiferromagnetic exchange to the host reveals magnetic properties similar to those of the ordinary Kondo effect. In contrast, a hybridization impurity (Anderson-like) embedded into the attractive Hubbard model gives rise to essentially different magnetic behavior. This difference is a consequence of the spin gap in the host.

{J}_{L,R}

(Kondo coupling constants) and

{V}_{L,R}

(impurity potentials) parametrized by a single parameter

c

. The integrable value of

{J}_{L,R}

runs from negative infinity to positive infinity, which allows us to study both the ferromagnetic Kondo problem and the antiferromagnetic Kondo problem in a strongly correlated electron system. Generally, there is a residual entropy for the ground state, which indicates a typical non-Fermi liquid behavior.