DOI: 10.57760/sciencedb.j00113.00133
title: The data of the article "General mapping of one-dimensional non-Hermitian mosaic models to non-mosaic counterparts: Mobility edges and Lyapunov exponents"
title: The data of the article "General mapping of one-dimensional non-Hermitian mosaic models to non-mosaic counterparts: Mobility edges and Lyapunov exponents"

description: The date related to the article "General mapping of one-dimensional non-Hermitian mosaic models to non-mosaic counterparts: Mobility edges and Lyapunov exponents" was accepted in the journal of Chinese Physics B. Here, all the date for the figures in the article were organized into each individual folder named by the figure tag.Figure 1(a)(b) shows non-Hermitian AA-like non-mosaic model with the potential function in Eq. (19). Thereinto, The fractal dimension Γ as a function of the real part of the eigenenergy Re(E) and a real potential strength λ, numerically calculated for (a) κ = 2 and (b) κ = 3 under periodic boundary conditions,and running "fig1(a)(b).m" in Matlab can replot Figure 1(a)(b).Figure 1(c)(d) The existence or not of the imaginary part of energy with the same parameters as in (a), where (non)zeros of Im(E) with accuracy 10−6 are colored in blue (yellow). The red solid lines in (a-c) are the mobility edges calculated analytically by Eq. (25). (d) Comparison of a localized state marked by the red triangle (E = 2.5881, λ = 2.2) in (b) with the corresponding analytical form Eq. (24), showing that the two LEs can well characterize the asymmetric localization in the non-Hermitian AA-like mosaic model. The dotted line indicates the center site of the localization.Figure 2(a)(b)(c)(d) describe the nonreciprocal Ganeshan-Pixley-Das Sarma mosaic model with the potential function in Eq. (28) .The same meanings and settings as in Fig. 1, except for (a,c) κ = 1 and (b,d) κ = 2. The mobility edges [red solid lines in (a-c)] are calculated analytically by Eq. (33). The localized state marked by the red triangle in (b) is selected as E = 3.7328, λ = 2.4. The parameter b = 0.5 is chosen for all figure.
description: The date related to the article "General mapping of one-dimensional non-Hermitian mosaic models to non-mosaic counterparts: Mobility edges and Lyapunov exponents" was accepted in the journal of Chinese Physics B. Here, all the date for the figures in the article were organized into each individual folder named by the figure tag.Figure 1(a)(b) shows non-Hermitian AA-like non-mosaic model with the potential function in Eq. (19). Thereinto, The fractal dimension Γ as a function of the real part of the eigenenergy Re(E) and a real potential strength λ, numerically calculated for (a) κ = 2 and (b) κ = 3 under periodic boundary conditions,and running "fig1(a)(b).m" in Matlab can replot Figure 1(a)(b).Figure 1(c)(d) The existence or not of the imaginary part of energy with the same parameters as in (a), where (non)zeros of Im(E) with accuracy 10−6 are colored in blue (yellow). The red solid lines in (a-c) are the mobility edges calculated analytically by Eq. (25). (d) Comparison of a localized state marked by the red triangle (E = 2.5881, λ = 2.2) in (b) with the corresponding analytical form Eq. (24), showing that the two LEs can well characterize the asymmetric localization in the non-Hermitian AA-like mosaic model. The dotted line indicates the center site of the localization.Figure 2(a)(b)(c)(d) describe the nonreciprocal Ganeshan-Pixley-Das Sarma mosaic model with the potential function in Eq. (28) .The same meanings and settings as in Fig. 1, except for (a,c) κ = 1 and (b,d) κ = 2. The mobility edges [red solid lines in (a-c)] are calculated analytically by Eq. (33). The localized state marked by the red triangle in (b) is selected as E = 3.7328, λ = 2.4. The parameter b = 0.5 is chosen for all figure.