Fig. 9: Quantitative evidence of the non-Bloch response. | Communications Physics

Fig. 9: Quantitative evidence of the non-Bloch response.

From: Complex frequency detection in a subsystem

Fig. 9: Quantitative evidence of the non-Bloch response.

a The skin length ξl,L(ω) (lines) and ξl,R(ω) (circles) for ω3, ω4 and ω5 (red, blue and green colors, respectively) in the non-Bloch region of Fig. 1(c), which converges as NS increases. Excitation sites are j0 = 40 (λ = − 1) and j0 = 2NS − 39 (λ = 1). b The relative center location x0,L (lines) and x0,R (circles) of ψnH(ω) approaches 0.5 for ω3, ω4 and ω5 (red, blue and green colors, respectively) as NS increases, which demonstrates the non-reciprocal localization. Here ω3, ω4, ω5 = − 0.6 − 0.14i, − 0.6 − 0.16i, − 0.6 − 0.18i. All other parameters are \({t}_{1}=1.2,{t}_{2}=-1,{\mu }_{{{{\rm{S}}}}}=0.2,{t}_{x}=1,{t}_{y}=3.5,{\mu }_{{{{{\rm{S}}}}}^{{\prime} }}=0.3,{t}_{{{{\rm{A}}}}}=0.6,\gamma =0.1\) and Ny = 300.

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