# Technical Data Extraction: Conductance Plots (c) and (d)
This document provides a detailed extraction of the data and components from two scientific line charts representing conductance ($G$) as a function of a dimensionless parameter ($\lambda_I/t$).
## 1. Global Metadata and Axis Definitions
The image consists of two side-by-side panels, labeled **(c)** and **(d)**. Both panels share the same physical dimensions and axis scales.
* **X-Axis (Horizontal):**
* **Label:** $\lambda_I/t$
* **Range:** $0.000$ to $0.150$
* **Major Tick Intervals:** $0.025$
* **Y-Axis (Vertical):**
* **Label:** $G$ ($e^2/h$)
* **Range:** $0$ to $4$
* **Major Tick Intervals:** $1$
* **Common Parameters (Header):**
* $\lambda_R = 15$ (meV)
* $E_F = -35$ (meV)
* **Internal Region Labels:** Both charts contain boxed labels $K_1$ and $K_2$.
* $K_1$ is positioned in the lower half of the plot (near $G \approx 1$ to $2$).
* $K_2$ is positioned in the upper half of the plot (near $G \approx 3$ to $4$).
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## 2. Panel (c) Analysis
### Legend and Series Identification
* **Location:** Top right quadrant.
* **Series 1 (Black Line):** $\Delta = 0$ (meV).
* **Series 2 (Blue Line):** $\Delta = 5$ (meV).
### Trend Description
Panel (c) shows quantized conductance plateaus. The black line ($\Delta=0$) generally forms the upper envelope of the data, while the blue line ($\Delta=5$) shows suppressed conductance in specific regions. The data is split into two distinct bands: a lower band centered around $K_1$ and an upper band centered around $K_2$.
### Data Points and Features
* **Initial State ($\lambda_I/t = 0$):** Conductance starts at maximum values ($G=2$ for $K_1$, $G=4$ for $K_2$).
* **First Drop:** Both series drop sharply to $G=0$ at approximately $\lambda_I/t \approx 0.015$.
* **Plateau 1 ($\lambda_I/t \approx 0.050$ to $0.065$):**
* **Black Line:** Reaches a stable plateau at $G=1$ (for $K_1$) and $G=3$ (for $K_2$).
* **Blue Line:** Shows a slight dip/oscillation, staying slightly below the black line.
* **Plateau 2 ($\lambda_I/t \approx 0.100$ to $0.115$):**
* **Black Line:** Returns to $G=1$ and $G=3$ plateaus.
* **Blue Line:** Shows significant suppression compared to the black line, dipping toward $G \approx 0.6$ (for $K_1$) and $G \approx 2.6$ (for $K_2$).
* **Plateau 3 ($\lambda_I/t \approx 0.130$ to $0.145$):**
* **Black Line:** Returns to $G=1$ and $G=3$ plateaus.
* **Blue Line:** Again shows suppression and oscillations below the black line.
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## 3. Panel (d) Analysis
### Legend and Series Identification
* **Location:** Top right quadrant.
* **Series 1 (Green Line):** $\Delta = 40$ (meV).
* **Series 2 (Magenta Line):** $\Delta = 50$ (meV).
### Trend Description
Unlike panel (c), panel (d) shows almost zero conductance across most of the range, with the exception of sharp, narrow "spikes" or resonance peaks. The $K_2$ region (upper half) is entirely empty (conductance is zero). All activity occurs in the $K_1$ region.
### Data Points and Features
* **Baseline:** Both series are at $G=0$ for the majority of the x-axis.
* **Green Series ($\Delta=40$):**
* **Cluster 1:** Sharp spikes between $\lambda_I/t \approx 0.020$ and $0.025$, reaching heights up to $G \approx 1.6$.
* **Cluster 2:** Spikes near $\lambda_I/t \approx 0.055$ and $0.065$, reaching $G \approx 1.3$.
* **Cluster 3:** Spikes near $\lambda_I/t \approx 0.105$, reaching $G \approx 1.3$.
* **Cluster 4:** Spikes near the end of the scale $\lambda_I/t \approx 0.145$.
* **Magenta Series ($\Delta=50$):**
* Shows much fewer and narrower peaks than the green series.
* Notable peaks at $\lambda_I/t \approx 0.035$ (very low), $0.068$, $0.075$, $0.100$, $0.115$ (highest magenta peak at $G \approx 1.4$), and $0.120$.
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## 4. Comparative Summary
| Feature | Panel (c) | Panel (d) |
| :--- | :--- | :--- |
| **$\Delta$ Values** | Low (0, 5 meV) | High (40, 50 meV) |
| **Conductance Profile** | Broad plateaus and gaps | Sparse, sharp resonance peaks |
| **$K_2$ Activity** | High ($G$ up to 4) | Zero ($G = 0$) |
| **$K_1$ Activity** | High ($G$ up to 2) | Sparse spikes ($G$ up to ~1.6) |
**Conclusion:** Increasing the parameter $\Delta$ from the values in (c) to those in (d) causes a transition from a regime of quantized plateau conductance to a regime of suppressed conductance characterized by isolated resonance tunneling peaks, specifically quenching all transport in the $K_2$ channel.
