Bosonization solution of the Kondo lattice in a Luttinger liquid
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866914614712729600 |
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| author | Bortolin, Tomás Bolech, C. J. Shah, Nayana Iucci, Aníbal |
| author_facet | Bortolin, Tomás Bolech, C. J. Shah, Nayana Iucci, Aníbal |
| contents | We address the physics of a regular arrangement of independent magnetic impurities embedded in a band of interacting electrons. We focus on the one-dimensional case that can be studied using bosonization and in which the electron bulk is described by a Luttinger liquid. The impurity spins interact with the electrons via magnetic exchange that introduces the possibility of Kondo and Ruderman-Kittel-Kasuya-Yosida (RKKY) physics. We find that for two special values of the interactions, the model can be refermionized as a noninteracting electron band hybridized with a regular array of resonant levels. These solvable limits provide access to impurity correlators that correspond to either extended algebraic order or local screening. A physical picture emerges of how the interelectron interactions can stabilize either Kondo or RKKY physics depending on the sign of the interaction. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_19844 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Bosonization solution of the Kondo lattice in a Luttinger liquid Bortolin, Tomás Bolech, C. J. Shah, Nayana Iucci, Aníbal Strongly Correlated Electrons We address the physics of a regular arrangement of independent magnetic impurities embedded in a band of interacting electrons. We focus on the one-dimensional case that can be studied using bosonization and in which the electron bulk is described by a Luttinger liquid. The impurity spins interact with the electrons via magnetic exchange that introduces the possibility of Kondo and Ruderman-Kittel-Kasuya-Yosida (RKKY) physics. We find that for two special values of the interactions, the model can be refermionized as a noninteracting electron band hybridized with a regular array of resonant levels. These solvable limits provide access to impurity correlators that correspond to either extended algebraic order or local screening. A physical picture emerges of how the interelectron interactions can stabilize either Kondo or RKKY physics depending on the sign of the interaction. |
| title | Bosonization solution of the Kondo lattice in a Luttinger liquid |
| topic | Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2512.19844 |