Exploring Unconventional superconductivity in strong spin-orbit coupled superconductors

Title: Exploring Unconventional superconductivity in strong spin-orbit coupled superconductorsObjective:To understand physical origin of unconventional superconductivity and exploring its physical consequence in several newly realized superconducting systems with strong spin-orbit coupling (SOC). Approach:This is a theoretical project and we will explore unconventional superconductivity in several recently discovered spin-orbit coupled SC materials, aiming in understanding how SOC affects the pairing structure and pairing mixing, topological property, magnetic property and disordered transport phenomena in these SC materials. The SC systems include half-Heusler SCs, the magnetic TI (MTI)/SC hybrid and iron-based SC Fe(Te,Se) films.SOW:The project is divided roughly into two thrusts. Thrust 1: Derive and analyze SC gap equation; Analyze interplay between antiferromagnetism and pairing-mixed SC states; Understand and control surface Majorana bands of topological superconductors.Thrust 2: Compute and construct phase diagram (with disorder) in MTI/SC hybrid; understand critical behaviors in MTI/SC; Study unconventional superconductivity in Fe(Te,Se) films.