We consider impurities in the simplest 1D Hatano–Nelson chain43, which already exhibits nearly the full scope of impurity-induced phenomena in more generic lattices. An impurity is represented as a modified coupling between the first and last sites: with μ± = μe±α, μ controlling the local impurity, α > 0 and x = 0, … Zobacz więcej To understand why SFA occurs, we analytically solve for the eigenstates \({{{\Psi }}}_{n}=\mathop{\sum }\nolimits_{x}^{L}{\psi }_{x,n}{\hat{c}}_{x}^{\dagger … Zobacz więcej The discussions above imply a duality between PBCs at μ = 1 and quasi-PBCs at μ = e2α. This motivates us to seek duality relations for the whole range of μ. For e−2α ≪ μ ≪1, another set of exponentially decaying … Zobacz więcej As steady-state phenomena, the SFA can be most easily demonstrated in an electrical circuit setting. In place of the Hamiltonian, we consider the circuit Laplacian J which governs its steady-state response via I = … Zobacz więcej The decay exponents κL(μ) of SFA states, as induced by the impurity, are insensitive to the exact configuration of non-reciprocal hoppings in the … Zobacz więcej Witryna24 maj 2024 · Hello, I Really need some help. Posted about my SAB listing a few weeks ago about not showing up in search only when you entered the exact name. I pretty …
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