拓扑超导体是凝聚态物理学中新出现的研究领域，其潜在应用价值引起人们浓 厚的研究兴趣。在本项目中，我们将对拓扑超导体及其新奇物理性质展开三个方面的研究： 1) 拓扑超导体中的电子隧道效应,本项目将使用格林函数的方法，研究拓扑超导体隧道结中的电导响应、热导响应、场致电子发射等性质；2) 拓扑超导体的量子特性，本项目将研究拓扑超导体中的拉比震荡效应，以及拓扑超导体在构筑超导磁通量子比特中的应用；3) 本项目将通过数值对角化的技术计算保真度率，研究拓扑超导体中的量子相变。通过这些研究内容，我们希望增加对拓扑超导体的拓扑性质、新奇物性的理解，为拓扑超导体的实际应用提供理论基础。

In this program, we will investigate the novel proerties of topological superconductor, which is a new topic in condensed matter physics and attracts much attention due to its possible application in quantum computation. We will discuss the following three subjects. First, we will apply the Green function technique to investigate novel tunneling phenomena in junctions involving topological superconductors, such as the thermal conductivity, the crossed Andreev effect, and the field emission effect. Second, we will try to reveal the quantum properties of the topological superconductors like the Rabbi oscillation, and develop methods to build superconducting flux qubit with topological superconductors. At last, we will try to understand the the quantum phase transition in topological superconductors, within the standard fidelity appraoch. By means of these research, we look forward to increasing the understanding of the novel properties of the topological supercondcutors, and build the foundation for the application of the topological superconductors.