Magnetic Field Modeling of hot channels in Four Flare/CME Events

We investigate the formation and magnetic topology of four flare/CME events with filament-sigmoid systems, in which the sigmoidal hot channels are located above the filaments, and they appear in pairs prior to eruption.} The formation of hot channels usually takes several to dozens of hours during which two J-shape sheared arcades gradually evolve into sigmoidal hot channels, then they keep stable for tens of minutes or hours and erupt. While the low-lying filaments show no significant change. extbf{We construct a series of magnetic field models and find that the best-fit preflare models contain magnetic flux ropes with hyperbolic flux tubes (HFTs). The field lines above the HFT correspond to the high-lying hot channel, while those below the HFT surround the underlying filaments. In particular, the continuous and long field lines representing the flux rope located above the HFT match the observed hot channels well in three events. While for SOL2014-04-18 event, the flux bundle that mimics the observed hot channel is located above the flux rope. The flux rope axis lies in a height range of 19.8 Mm and 46 Mm above the photosphere for the four events, among which the flux rope axis in SOL2012-07-12 event has a maximum height, which probably explains why it is often considered as a double-decker structure. Our modeling suggests that the high-lying hot channel may be formed by magnetic reconnections between sheared field lines occurring above the filament prior to eruption.