# Technical Data Extraction: Conductance Plots (e) and (f)
This document provides a detailed technical extraction of the data and trends presented in the two provided line charts, which appear to be from a physics research paper regarding electronic transport properties.
## 1. Global Parameters
Both charts share the following physical parameters, as indicated in their respective headers:
* **$\lambda_R = \lambda_I = 0.015t$**: Spin-orbit coupling parameters.
* **$\Delta = 0.005t$**: Superconducting gap or exchange field parameter.
* **$E_F = 0.035t$**: Fermi energy level.
* **Y-Axis (Common):** Conductance $G$ in units of $(e^2/h)$. The scale ranges from $0.0$ to $3.0$ with major ticks every $0.5$.
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## 2. Chart (e) Analysis
### Metadata and Labels
* **Header:** (e) $\lambda_R = \lambda_I = 0.015t, \Delta = 0.005t, E_F = 0.035t$
* **X-Axis Title:** $d/r_0$ (Dimensionless ratio of distance to a reference radius).
* **X-Axis Range:** $0$ to $10$.
* **Legend Location:** Top right $[x \approx 0.9, y \approx 0.9]$.
* **Red Square ($\square$):** $K_1$
* **Blue Circle ($\bullet$):** $K_2$
### Data Trends and Values
The data is represented by dashed black lines connecting the markers.
#### Series $K_1$ (Red Squares)
* **Trend:** Initially decreases from $d/r_0 = 1$ to $3$, reaching a minimum near zero. It then sharply increases between $d/r_0 = 3$ and $5$, plateauing at a constant value for $d/r_0 \ge 5$.
* **Key Data Points:**
* $d/r_0 = 1$: $G \approx 0.75$
* $d/r_0 = 2$: $G \approx 0.6$
* $d/r_0 = 3$: $G \approx 0.1$ (Minimum)
* $d/r_0 = 4$: $G \approx 1.5$
* $d/r_0 = 5$ to $10$: $G = 2.0$ (Stable Plateau)
#### Series $K_2$ (Blue Circles)
* **Trend:** Remains very low (near zero) throughout the range, with a small localized peak at $d/r_0 = 4$.
* **Key Data Points:**
* $d/r_0 = 1$ to $3$: $G \approx 0.1$
* $d/r_0 = 4$: $G \approx 0.5$ (Localized Peak)
* $d/r_0 = 5$ to $10$: $G \approx 0.05$ (Near-zero baseline)
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## 3. Chart (f) Analysis
### Metadata and Labels
* **Header:** (f) $\lambda_R = \lambda_I = 0.015t, \Delta = 0.005t, E_F = 0.035t$
* **Inset Text:** $d = 5r_0$ (Indicates this plot is a cross-section or specific case where the ratio from chart (e) is fixed at 5).
* **X-Axis Title:** $n$ (Likely an index or number of units).
* **X-Axis Range:** $0$ to $10$.
* **Legend Location:** Top right $[x \approx 0.9, y \approx 0.9]$.
* **Red Square ($\square$):** $K_1$
* **Blue Circle ($\bullet$):** $K_2$
### Data Trends and Values
The data is represented by dashed black lines connecting the markers.
#### Series $K_1$ (Red Squares)
* **Trend:** Perfectly horizontal line. The conductance is invariant with respect to $n$.
* **Data Points:**
* $n = 0$ to $10$: $G = 2.0$ (Constant)
#### Series $K_2$ (Blue Circles)
* **Trend:** Perfectly horizontal line at the baseline.
* **Data Points:**
* $n = 0$ to $10$: $G = 0.0$ (Constant)
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## 4. Summary Comparison
* **Chart (e)** shows the transition of conductance as the spatial parameter $d/r_0$ increases. It reveals a critical transition point at $d/r_0 = 5$, where $K_1$ reaches a quantized conductance of $2.0$ and $K_2$ drops to zero.
* **Chart (f)** confirms that once the system is at the state $d = 5r_0$, the conductance values for $K_1$ and $K_2$ are stable and quantized ($2$ and $0$ respectively) regardless of the parameter $n$.
