Theory and numerical simulation:

(Qing-Hu Chen, Lin-Xi Zhang, Ming-Qiu Tan, Meng-Bo Luo, Bin Song, Ping Zhu, Yun-Hao Lu etc)

Type-II superconductivity: The non-equilibrium phase transition of vortex matter in layered superconductors has been studied by large scale simulations. It is clarified that the moving system undergoes first-order transition from the moving Bragg glass to the moving smectic.  The depinning and creep motion of flux lines in three-dimensional 3D systems have been investigated numerically based on overdamped London-Langevin model, and universal scaling behavior has been observed.

First-principle calculations: Using density functional theory and molecular dynamics method, the structural characteristics, evolution rules, bonding properties and stabilities of typical semiconductor (metal) clusters are obtained.  The first proposed cage like M12X12 (M=Ga, Al, Zn; X=N, O) clusters can be assembled into a new nano mesoporous materials with a rhombohedral lattice structure.

Quantum many-particle system:  Various spin-boson models have been numerically solved, and the novel criticality has been investigated. The parameter regime of quantum zeno and anti-zeno effects in the quantum open system has been also given. We have also proposed a high efficient numerical approach to solve the celebrated Dicke model, which has been now widely employed in literature to study the quantum phase transitions and quantum chaos of this model. By extended coherent states, we systematically solve the superconducting circuit QED system and related models in the analytical sense.

Soft condensed matter:  The properties of semi-rigid polymer chain conformation by the self-consistent field theory have been explored. The self-assembly structure of nano-particle dispersion system is found to be induced by polymer brush; by theoretical studies and numerical simulations, various factors influencing self-assembly structure of the block polymer are figured out. The subdiffusion of polymer chain in crowded environment filled with nanoparticles was studied. The mechanism of subdiffusion is attributed to the large adsorption energy due to the flexible polymer conformation. Universal scaling relations were discovered for the translocation of polymer chain through nanopores. New scaling analysis method was proposed for the study of critical adsorption of polymer on surfaces.