Environment assisted superballistic scaling of conductance

• URL: http://arxiv.org/abs/2208.04269v2
• Date: Wed, 1 Nov 2023 09:39:16 GMT
• Title: Environment assisted superballistic scaling of conductance
• Authors: Madhumita Saha, Bijay Kumar Agarwalla, Manas Kulkarni and Archak Purkayastha
• Abstract summary: 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. 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.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: 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.

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