Exotic Kondo effect in two one dimensional spin 1/2 chains coupled to two localized spin 1/2 magnets
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arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866909281619542016 |
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| author | Kuzmenko, Igor Kuzmenko, Tetyana Band, Y. B. Avishai, Yshai |
| author_facet | Kuzmenko, Igor Kuzmenko, Tetyana Band, Y. B. Avishai, Yshai |
| contents | We study an exotic Kondo effect in a system consisting of two one-dimensional XX Heisenberg ferromagnetic spin $1/2$ chains (denoted by $α= u, d$ for up and down chains) coupled to a quantum dot consisting of two localized spin $1/2$ magnets. Using the Jordan-Wigner transformation on the Heisenberg Hamiltonian of the two chains, this system can be expressed in terms of non-interacting spinless fermionic quasiparticles. As a result, the Hamiltonian of the whole system is expressed as an Anderson model for spin 1/2 fermions interacting with a spin-1/2 impurity. Thus, we study the scattering of fermionic quasiparticles (propagating along spin chains) by a pair of localized magnetic impurities. At low temperature, the localized spin $1/2$ magnets are shielded by the chain `spins' via the Kondo effect. We calculate the Kondo temperature $T_K$ and derive the temperature dependence of the entropy, the specific heat, the specific heat and the `magnetic susceptibility' of the dot for $T \gg T_K$. Our results can be generalized to the case of anti-ferromagnetic XX chains. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_04353 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Exotic Kondo effect in two one dimensional spin 1/2 chains coupled to two localized spin 1/2 magnets Kuzmenko, Igor Kuzmenko, Tetyana Band, Y. B. Avishai, Yshai Strongly Correlated Electrons Quantum Gases We study an exotic Kondo effect in a system consisting of two one-dimensional XX Heisenberg ferromagnetic spin $1/2$ chains (denoted by $α= u, d$ for up and down chains) coupled to a quantum dot consisting of two localized spin $1/2$ magnets. Using the Jordan-Wigner transformation on the Heisenberg Hamiltonian of the two chains, this system can be expressed in terms of non-interacting spinless fermionic quasiparticles. As a result, the Hamiltonian of the whole system is expressed as an Anderson model for spin 1/2 fermions interacting with a spin-1/2 impurity. Thus, we study the scattering of fermionic quasiparticles (propagating along spin chains) by a pair of localized magnetic impurities. At low temperature, the localized spin $1/2$ magnets are shielded by the chain `spins' via the Kondo effect. We calculate the Kondo temperature $T_K$ and derive the temperature dependence of the entropy, the specific heat, the specific heat and the `magnetic susceptibility' of the dot for $T \gg T_K$. Our results can be generalized to the case of anti-ferromagnetic XX chains. |
| title | Exotic Kondo effect in two one dimensional spin 1/2 chains coupled to two localized spin 1/2 magnets |
| topic | Strongly Correlated Electrons Quantum Gases |
| url | https://arxiv.org/abs/2408.04353 |