Metallic-insulator phase transitions in the extended Harper model
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arXiv
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| Format: | Preprint |
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2023
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| _version_ | 1866916234730143744 |
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| author | Chakrian, João Lyra, Marcelo L. Lima, Jonas R. F. |
| author_facet | Chakrian, João Lyra, Marcelo L. Lima, Jonas R. F. |
| contents | In this work we investigate the transport properties of non-relativistic quantum particles on incommensurate multilayered structures with the thicknesses $w_n$ of the layers following an extended Harper model given by $w_n = w_0 |\cos(πa n^ν)|$. For the normal incidence case, which means an one-dimensional system, we obtained that for a specific range of energy, it is possible to see a metallic-insulator transition with the exponent $ν$. A metallic phase is supported for $ν<1$. We also obtained that for the specific value $ν=1$ there is an alternation between metallic and insulator phases as we change the disorder strength $w_0$. When we integrate out all incidence angles, which means a two-dimensional system, the metallic-insulator transition can be seen for much larger range of energy compared to the normal incidence case. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2304_13078 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Metallic-insulator phase transitions in the extended Harper model Chakrian, João Lyra, Marcelo L. Lima, Jonas R. F. Mesoscale and Nanoscale Physics Disordered Systems and Neural Networks In this work we investigate the transport properties of non-relativistic quantum particles on incommensurate multilayered structures with the thicknesses $w_n$ of the layers following an extended Harper model given by $w_n = w_0 |\cos(πa n^ν)|$. For the normal incidence case, which means an one-dimensional system, we obtained that for a specific range of energy, it is possible to see a metallic-insulator transition with the exponent $ν$. A metallic phase is supported for $ν<1$. We also obtained that for the specific value $ν=1$ there is an alternation between metallic and insulator phases as we change the disorder strength $w_0$. When we integrate out all incidence angles, which means a two-dimensional system, the metallic-insulator transition can be seen for much larger range of energy compared to the normal incidence case. |
| title | Metallic-insulator phase transitions in the extended Harper model |
| topic | Mesoscale and Nanoscale Physics Disordered Systems and Neural Networks |
| url | https://arxiv.org/abs/2304.13078 |