Environment assisted superballistic scaling of conductance
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2022
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| _version_ | 1866917606208831488 |
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| author | Saha, Madhumita Agarwalla, Bijay Kumar Kulkarni, Manas Purkayastha, Archak |
| author_facet | Saha, Madhumita Agarwalla, Bijay Kumar Kulkarni, Manas Purkayastha, Archak |
| contents | We find that, in the presence of weak incoherent effects from surrounding environments, the zero temperature conductance of nearest neighbour tight-binding chains exhibits a counter-intuitive power-law growth with system length at band-edges, indicating superballistic scaling. This fascinating environment assisted superballistic scaling of conductance occurs over a finite but extended regime of system lengths. This scaling regime can be systematically expanded by decreasing the coupling to the surrounding environments. There is no corresponding analog of this behavior for isolated systems. This superballistic scaling stems from an intricate interplay of incoherent effects from surrounding environments and exceptional points of the system's transfer matrix that occur at every band-edge. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2208_04269 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Environment assisted superballistic scaling of conductance Saha, Madhumita Agarwalla, Bijay Kumar Kulkarni, Manas Purkayastha, Archak Mesoscale and Nanoscale Physics Statistical Mechanics Quantum Physics We find that, in the presence of weak incoherent effects from surrounding environments, the zero temperature conductance of nearest neighbour tight-binding chains exhibits a counter-intuitive power-law growth with system length at band-edges, indicating superballistic scaling. This fascinating environment assisted superballistic scaling of conductance occurs over a finite but extended regime of system lengths. This scaling regime can be systematically expanded by decreasing the coupling to the surrounding environments. There is no corresponding analog of this behavior for isolated systems. This superballistic scaling stems from an intricate interplay of incoherent effects from surrounding environments and exceptional points of the system's transfer matrix that occur at every band-edge. |
| title | Environment assisted superballistic scaling of conductance |
| topic | Mesoscale and Nanoscale Physics Statistical Mechanics Quantum Physics |
| url | https://arxiv.org/abs/2208.04269 |