We investigate edge reconstruction scenarios in the $\nu =1$ quantum Hall state, focusing on configurations with upstream and downstream charge and neutral modes. Our analysis shows that the coexistence of upstream charge and neutral modes in a multiterminal geometry can cause pronounced deviations from the expected quantized values of electrical ($e^2/h$) and thermal (${\pi }^2{k}_{\text{B}}^{2}T/3h$) Hall conductance dictated by bulk-boundary correspondence. In particular, we find that both electrical and thermal Hall conductances can be significantly enhanced—exceeding twice their unreconstructed values—offering a clear diagnostic of edge reconstruction.

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• Edge states
• Electrical conductivity
• Quantum Hall effect
• Quantum transport
• Thermal Hall effect
• Transport phenomena
• Bosonization
• Luttinger liquid model