Electromagnetic Structure Theory On Two Typical Condensed Matter Systems

There are a lot of problems in condensed matter physics needed to be figured out,such as high Tc superconductivity,quantum Hall effect etc,which have the deep influence on Quantum information,Quantum computation and energy fields.Thus,we choose two typical condensed matter systems to investigate their electromagnetic properties.(1)The migration and magnetic properties of the bilayer graphene with intercalation compounds(BGICs)with magnetic elements are theoretically investigated based on first principles study.Firstly,we find that BGICs with transition metals(Sc-Zn)generate distinct magnetic properties.The intercalation with most of the transition metal atoms(TMAs)gives rise to large magnetic moments from 1.0 to 4.0 ?B,which is valuable for the spintronics.Moreover,graphene can protect the intrinsic properties of the intercalated TMAs,which can be important for applications in catalysis.These phenomena can be explained by theory of spd hybridization definitely.Secondly,weak coupling between TMAs and the surroundings indicates the possibility of implementing quantum information processing and generating controlled entanglements.For the possibility of using these materials in ultrafast electronic transistors,spintronics,catalysis,spin qubit and important applications for the extentions of graphene,we believe that BGICs can provide a significant path to synthesize novel materials.(2)Recent experiments in ultracold atoms have reported the realization of two-dimensional laser-induced spin-orbit coupling(SOC)in lattice systems,facilitating the realization of topological phases.The competition between the lattice hopping and spinorbit coupling creates a rich variety of quantum phases,including different types of spin texture and chiral topological and trivial band structure.Motivated by such advances,we investigate a spin-orbital coupled Bose-Bose mixtures in a twodimensional square optical lattice.The ground-state and excited-state properties of Bose-Bose mixtures with a synthetic SOC are studied by nonperturbative real-space bosonic dynamical mean-field theory(R-BDMFT),which has been developed and implemented successfully for the single-and two-component Bose-Hubbard models,where it provides a quantitative description for strongly correlated systems in a two-and three-dimensional optical lattice.For the ground-state,we analyze the spin texture and superfluidity(SF)-Mott Insulator(MI)phases diagram by calculating the order parameters,and uncover that the exotic spin-ordered phases arise in both SF and MI regimes,resulting from the effective Dzyaloshinskii-Moriya superexchange interactions and Heisenberg interaction.The non-trivial topological band structure is investigated within both Bogoliubov approximation in the weak coupling regime and R-BDMFT in the strongly interacting regime.This work may open up a new direction to understand the non-Abelian topological orders in strongly correlated cold atom systems and indicate the potential applications in Topological Quantum Computation and Quantum information storage.