Solving the Bethe-Salpeter equation on a subspace: Approximations and consequences for low-dimensional materials
Diana Y. Qiu, Felipe H. da Jornada, Steven G. Louie
Abstract
It is known that the ambient environment can dramatically renormalize the electron excitation energies and the binding energy of the prominent excitons in low-dimensional materials, but the effect of the environment on the energy splitting of the spin-singlet and spin-triplet exciton states is less understood. Here, the authors derive a relationship between the extent of electronic states, the ambient screening, and the electron-hole exchange interaction and show that the singlet-triplet splitting in the energy of the excitons is largely unaffected by the external dielectric environment in quasi-two-dimensional materials.
Topics & Concepts
ExcitonSinglet stateSpin (aerodynamics)PhysicsExchange interactionSubspace topologyBinding energyCondensed matter physicsElectronDielectricEnergy (signal processing)Bethe–Salpeter equationExcitationQuantum mechanicsAtomic physicsExcited stateMathematicsBound stateThermodynamicsFerromagnetismMathematical analysisQuantum and electron transport phenomenaElectronic and Structural Properties of Oxides2D Materials and Applications