“…For | F | > 2, i.e, Fermi energy outside the system band, transport becomes diffusive even at very small values of τ p . The cases away from band-edges have been investigated in several previous works [20,36,45].…”
Section: Sb (Nmentioning
confidence: 99%
“…Probes versus many-body interaction -The Büttiker probes mimic inelastic scattering processes due to surrounding environments [10,36,46,47]. Another way in which inelastic scattering can originate is via many-body interactions in the system.…”
Section: Sb (Nmentioning
confidence: 99%
“…It plays a fundamental role in determining the band structure of the system and its transport properties [27][28][29]. To our knowledge, the role of non-Hermitian properties of the transfer matrix on environment assisted transport has remained unexplored, despite the later being investigated both theoretically and experimentally [23,[30][31][32][33][34][35][36][37].…”
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.
“…For | F | > 2, i.e, Fermi energy outside the system band, transport becomes diffusive even at very small values of τ p . The cases away from band-edges have been investigated in several previous works [20,36,45].…”
Section: Sb (Nmentioning
confidence: 99%
“…Probes versus many-body interaction -The Büttiker probes mimic inelastic scattering processes due to surrounding environments [10,36,46,47]. Another way in which inelastic scattering can originate is via many-body interactions in the system.…”
Section: Sb (Nmentioning
confidence: 99%
“…It plays a fundamental role in determining the band structure of the system and its transport properties [27][28][29]. To our knowledge, the role of non-Hermitian properties of the transfer matrix on environment assisted transport has remained unexplored, despite the later being investigated both theoretically and experimentally [23,[30][31][32][33][34][35][36][37].…”
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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