Transmission Line—Nonlocal Effects
摘要
This chapter explores the impact of nonlocal interactions on heat transport in quantum Hall edge states using an extended transmission line (TL) model. Building on the previous chapter, where dissipation alone was shown to preserve the quantization of heat flux, we now introduce cross-capacitive coupling and tunnel junctions between Ohmic reservoirs. These nonlocal interactions break the sum rule that ensures heat flux quantization, leading to an enhancement of the heat flux above the expected quantum value. This phenomenon, termed negative heat drag, arises from highly correlated charge fluctuations between reservoirs. We analyze both two-node and full TL models, demonstrating how interactions create a second collective mode, which influences heat transport. Additionally, we explore an energy-conserving approach using mesoscopic capacitors, which replicates the observed effects, suggesting that these deviations from quantized heat flux are intrinsic to strongly interacting quantum Hall edges. Our results provide insight into equilibrium heat transport anomalies and offer a framework for designing mesoscopic experiments to probe unconventional heat and charge dynamics in chiral systems.