Elevated Hall Responses as Indicators of Edge Reconstruction

2025/05/13 by Karmakar, Sampurna, Ratnakar, Amulya, Das, Sourin · 1 citation
#FOS: Physical sciences #Mesoscale and Nanoscale Physics (cond-mat.mes-hall)

paper · doi:10.48550/arxiv.2505.08746

Abstract

We investigate edge reconstruction scenarios in the ν= 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 multi-terminal geometry can cause pronounced deviations from the expected quantized values of electrical (e²/h) and thermal (π² k_B²T/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.

Citations

• Half-integer thermal conductance in the absence of Majorana mode
• Half-quantized Hall Plateaus in the Confined Geometry of Graphene
• Experimentally Motivated Order of Length Scales Affect Shot Noise
• Multiple Mechanisms for Emerging Conductance Plateaus in Fractional Quantum Hall States
• Heat Conductance of the Quantum Hall Bulk
• Direct Determination of the Topological Thermal Conductance via Local Power Measurement
• Universal quantized thermal conductance in graphene
• Upstream neutral modes in the fractional quantum Hall effect regime: heat waves or coherent dipoles

Cited by

• Half-integer thermal conductance in the absence of Majorana mode

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