The action of the nearest neighbor Coulomb repulsion on the homogeneity in the high concentration domain for itinerant systems
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866914142575656960 |
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| author | Gulacsi, Zsolt |
| author_facet | Gulacsi, Zsolt |
| contents | Exact results are presented for itinerant systems
demonstrating that the nearest neighbor Coulomb
repulsion (V) destroys the homogeneity in the high concentration regime, this
property being not present in the low concentration domain. Since the effects
of V often seems contradictory, and the number of phases in which it could
appear is extremely large, this result underlines that the action of the
nearest neighbor repulsion is not necessarily routed in the characteristics
of phases on which it acts, but could be intimately related to V itself.
The $V > 0$ case usually means non-integrability, hence the deduced exact
ground states are related to non-integrable systems, the technique being
based on positive semidefinite operator properties. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_05303 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The action of the nearest neighbor Coulomb repulsion on the homogeneity in the high concentration domain for itinerant systems Gulacsi, Zsolt Strongly Correlated Electrons Exact results are presented for itinerant systems demonstrating that the nearest neighbor Coulomb repulsion (V) destroys the homogeneity in the high concentration regime, this property being not present in the low concentration domain. Since the effects of V often seems contradictory, and the number of phases in which it could appear is extremely large, this result underlines that the action of the nearest neighbor repulsion is not necessarily routed in the characteristics of phases on which it acts, but could be intimately related to V itself. The $V > 0$ case usually means non-integrability, hence the deduced exact ground states are related to non-integrable systems, the technique being based on positive semidefinite operator properties. |
| title | The action of the nearest neighbor Coulomb repulsion on the homogeneity in the high concentration domain for itinerant systems |
| topic | Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2511.05303 |