On equivalence of two formulas of orbital magnetic susceptibility for tight-binding models
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866917739203919872 |
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| author | Mizoguchi, Tomonari Okuma, Nobuyuki |
| author_facet | Mizoguchi, Tomonari Okuma, Nobuyuki |
| contents | We prove that two formulas of the orbital magnetic susceptibility, namely, Koshino-Ando's formula and Gómez-Santos and Stauber's formula, are equivalent for the tight-binding models. The difference between these two formulas can be written in a form containing the surface terms arising from the momentum-space integration, and we show that the surface terms are exactly vanishing although the primitive functions are seemingly non-periodic with respect to the translation by the reciprocal lattice vector. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_19993 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On equivalence of two formulas of orbital magnetic susceptibility for tight-binding models Mizoguchi, Tomonari Okuma, Nobuyuki Mesoscale and Nanoscale Physics Materials Science We prove that two formulas of the orbital magnetic susceptibility, namely, Koshino-Ando's formula and Gómez-Santos and Stauber's formula, are equivalent for the tight-binding models. The difference between these two formulas can be written in a form containing the surface terms arising from the momentum-space integration, and we show that the surface terms are exactly vanishing although the primitive functions are seemingly non-periodic with respect to the translation by the reciprocal lattice vector. |
| title | On equivalence of two formulas of orbital magnetic susceptibility for tight-binding models |
| topic | Mesoscale and Nanoscale Physics Materials Science |
| url | https://arxiv.org/abs/2405.19993 |