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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2302.09701 |
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| _version_ | 1866917682165579776 |
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| author | Chen, Jing Stoudenmire, E. Miles Komijani, Yashar Coleman, Piers |
| author_facet | Chen, Jing Stoudenmire, E. Miles Komijani, Yashar Coleman, Piers |
| contents | The Kondo lattice is one of the classic examples of strongly correlated electronic systems. We conduct a controlled study of the Kondo lattice in one dimension, highlighting the role of excitations created by the composite fermion operator. Using time-dependent matrix-product-state methods we compute various correlation functions and contrast them with both large-N mean-field theory and the strong-coupling expansion. We show that the composite fermion operator creates long-lived, charge-e and spin-1/2 excitations, which cover the low-lying single-particle excitation spectrum of the system. Furthermore, spin excitations can be thought to be composed of such fractionalized quasi-particles with a residual interaction which tend to disappear at weak Kondo coupling. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2302_09701 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Matrix Product Study of Spin Fractionalization in the 1D Kondo Insulator Chen, Jing Stoudenmire, E. Miles Komijani, Yashar Coleman, Piers Strongly Correlated Electrons The Kondo lattice is one of the classic examples of strongly correlated electronic systems. We conduct a controlled study of the Kondo lattice in one dimension, highlighting the role of excitations created by the composite fermion operator. Using time-dependent matrix-product-state methods we compute various correlation functions and contrast them with both large-N mean-field theory and the strong-coupling expansion. We show that the composite fermion operator creates long-lived, charge-e and spin-1/2 excitations, which cover the low-lying single-particle excitation spectrum of the system. Furthermore, spin excitations can be thought to be composed of such fractionalized quasi-particles with a residual interaction which tend to disappear at weak Kondo coupling. |
| title | Matrix Product Study of Spin Fractionalization in the 1D Kondo Insulator |
| topic | Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2302.09701 |