Nearsightedness in Materials with Indirect Band Gaps
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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_ | 1866911402726260736 |
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| author | Chen, Huajie Feng, Juerong Ortner, Christoph Thomas, Jack |
| author_facet | Chen, Huajie Feng, Juerong Ortner, Christoph Thomas, Jack |
| contents | We investigate the nearsightedness property in the linear tight binding model at zero Fermi-temperature. We focus on the decay property of the density matrix for materials with indirect band gaps. By representing the density matrix in reciprocal space, we establish a qualitatively sharp estimate for the exponential decay rate in homogeneous systems, possibly with localized perturbations. This work refines the estimates presented in (Ortner, Thomas & Chen, 2020) for systems with small band gaps. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2501_01188 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Nearsightedness in Materials with Indirect Band Gaps Chen, Huajie Feng, Juerong Ortner, Christoph Thomas, Jack Mathematical Physics 74E15, 81V45, 81V70 We investigate the nearsightedness property in the linear tight binding model at zero Fermi-temperature. We focus on the decay property of the density matrix for materials with indirect band gaps. By representing the density matrix in reciprocal space, we establish a qualitatively sharp estimate for the exponential decay rate in homogeneous systems, possibly with localized perturbations. This work refines the estimates presented in (Ortner, Thomas & Chen, 2020) for systems with small band gaps. |
| title | Nearsightedness in Materials with Indirect Band Gaps |
| topic | Mathematical Physics 74E15, 81V45, 81V70 |
| url | https://arxiv.org/abs/2501.01188 |