Figure 2
From: Terminal-coupling induced critical eigenspectrum transition in closed non-Hermitian loops
(a) \(\textrm{Ln}\ |\eta _{\textrm{L}}|\) and (b) \(|\eta _{\textrm{R}}|\) plotted as functions of N and E. Note that the logarithm of \(|\eta _{\textrm{L}}|\) is plotted in (a) while the value of \(|\eta _{\textrm{R}}|\) itself is plotted in (b). (c) The surface plots of \(\textrm{Ln}\ |\eta _{\textrm{R}}|\) and \(\textrm{Ln}\ |\eta _{\textrm{L}}|\) plotted together to show the values of N at which \(\textrm{Ln}\ |\eta _{\textrm{R}}|\) and \(\textrm{Ln}\ |\eta _{\textrm{L}}|\) can possibly intercept each other. (d) \(\textrm{Ln}|\eta _{\textrm{L}}-\eta _{\textrm{R}}|\), which approaches negative infinity when \(\eta _{\textrm{L}} = \eta _{\textrm{R}}\). The eigenvalues of \(H_{\textrm{CHN}}\) that fall on the real axis are also shown as black dots at integer values of N in this plot. Parameters used: \(t_{\textrm{L}}=2\), \(t_{\textrm{R}}=1\), and \(\Gamma =10^{-3}\).
