Correlation Renormalized and Induced Spin-Orbit Coupling

Abstract

Interplay of spin-orbit coupling (SOC) and electron correlation generates a bunch of emergent quantum phases and transitions, especially topological insulators and topological transitions. We find that electron correlation will induce extra large SOC in multi-orbital systems under atomic SOC and change ground state topological properties. Using the Hartree–Fock mean field theory, phase diagrams of px /py orbital ionic Hubbard model on honeycomb lattice are well studied. In general, correction of strength of SOC δ λ ∝ (Uʹ–J). Due to breaking down of rotation symmetry, form of SOC on multi-orbital materials is also changed under correlation. If a non-interacting system is close to fermionic instability, spontaneous generalized SOC can also be found. Using renormalization group, SOC is leading instability close to quadratic band-crossing point. Mean fields at quadratic band-crossing point are also studied.

Inverse Design of Phononic Crystal with Desired Transmission via a Gradient-Descent Approach

“…[6][7][8][9] As a scenario of its application, thermal metamaterials have experienced rapid development in recent years, whose main principle is to realize macroscopic thermal management by adjusting the thermal transport of microstructures. [10][11][12][13][14] Thermal devices made of thermal metamaterial such as thermal diode, [15] thermal transistor, [16] thermal cloak [17,18] and phonon focusing [19] have been theoretically proposed. With the advancement of various machine learning and intelligent algorithms, researchers can more conveniently use computer-aided methods to predict the thermal transport properties of materials [20] or develop new thermal metamaterials.…”