On Deformation Space Analogies between Kleinian Reflection Groups and Antiholomorphic Rational Maps

In a previous paper, we constructed an explicit dynamical correspondence between certain Kleinian reflection groups and certain anti-holomorphic rational maps on the Riemann sphere. In this paper, we show that their deformation spaces share many striking similarities. We establish an analogue of Thurston's compactness theorem for critically fixed anti-rational maps. We also characterize how deformation spaces interact with each other and study the monodromy representations of the union of all deformation spaces.Comment: 56 pages, 13 figures. Final version, to appear in Geom. Funct. Ana

Identification of Free and Bound Exciton States and Their Phase-Dependent Trapping Behavior in Lead Halide Perovskites

In this work we probe the sub-gap energy states within polycrystalline and single crystal lead halide perovskites to better understand their intrinsic photophysics behaviors. Through combined temperature and intensity-dependent optical measurements, we reveal the existence of both free and bound exciton contributions within the sub-gap energy state manifold. The trapping and recombination dynamics of these excitons is shown to be strongly dependent on the structural phase of the perovskite. The orthorhombic phase exhibits ultrafast exciton trapping and distinct trap emission, while the tetragonal phase gives low monomolecular recombination velocity and capture cross-sections (~10-18 cm2). Within the multiphonon transition scenario, this suppression in charge trapping is caused by the increase in the charge capture activation energy due to the reduction in electron-lattice interactions, which can be the origin for the unexpected long carrier lifetime in these material systems.Comment: 5 figure

Research on Two-stage Rotary Compressor with Refrigerant Injection for Cold Climate Heat Pump

As an promising heating application of environmental conservation and energy conservation, air-source heat pump systems has been spreading. However, conventional heat pump systems have problems remaining, such as inadequate heating capacity and reduced performance under low environmental temperature condition. To solve these problems, we developed a two-stage rotary compressor for household R32 air-source heat pump system. We analyzed the thermodynamic characteristics of two-stage rotary compressor with refrigerant injection used in heat pump system with economizer. It is found that the two-stage rotary compressor can enhance heating capacity and performance of R32 heat pump under cold climate markedly