Superdiffusive transport on lattices with nodal impurities
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866912056087674880 |
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| author | Wang, Yu-Peng Ren, Jie Fang, Chen |
| author_facet | Wang, Yu-Peng Ren, Jie Fang, Chen |
| contents | We show that 1D lattice models exhibit superdiffusive transport in the presence of random "nodal impurities" in the absence of interaction. Here a nodal impurity is defined as a localized state, the wave function of which has zeros (nodes) in momentum space. The dynamics exponent $z$, a defining quantity for transport behaviors, is computed to establish this result. To be specific, in a disordered system having only nodal impurities, the dynamical exponent $z=4n/(4n-1)$ where $n$ is the order of the node. If the system has time reversal, the nodes appear in pairs and the dynamical exponent can be enhanced to $z=8n/(8n-1)$. As $1<z<2$, both cases indicate superdiffusive transport. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_16927 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Superdiffusive transport on lattices with nodal impurities Wang, Yu-Peng Ren, Jie Fang, Chen Mesoscale and Nanoscale Physics Quantum Physics We show that 1D lattice models exhibit superdiffusive transport in the presence of random "nodal impurities" in the absence of interaction. Here a nodal impurity is defined as a localized state, the wave function of which has zeros (nodes) in momentum space. The dynamics exponent $z$, a defining quantity for transport behaviors, is computed to establish this result. To be specific, in a disordered system having only nodal impurities, the dynamical exponent $z=4n/(4n-1)$ where $n$ is the order of the node. If the system has time reversal, the nodes appear in pairs and the dynamical exponent can be enhanced to $z=8n/(8n-1)$. As $1<z<2$, both cases indicate superdiffusive transport. |
| title | Superdiffusive transport on lattices with nodal impurities |
| topic | Mesoscale and Nanoscale Physics Quantum Physics |
| url | https://arxiv.org/abs/2404.16927 |