Abstract

We investigate the combined effect of a far-infrared cavity field and Rashba spin–orbit interaction on the band structure and transport properties of artificial graphene composed of quasi-2D InAs/GaAs quantum dots. The coupling to cavity photons is modeled by constructing a complete basis as the tensor product of the electronic Hilbert space and the Fock space. Numerical calculations for the system embedded in a linear cavity predict the existence of both type-I and type-II Dirac points which can be distinguished by their response to Rashba interaction. Rashba coupling opens a gap at type-II Dirac points, while type-I Dirac points remain gapless. For both cylindrical and linear cavities, electron–photon hybrid states and Rabi splittings between energy minibands are found. Multiple crossings and anticrossings between Dirac-band replicas produce pronounced modifications of the spin-Hall conductivity, including strong anisotropy and oscillatory behavior controlled by cavity geometry and polarization.

Abstract

We investigate the combined effect of a far-infrared cavity field and Rashba spin–orbit interaction on the band structure and transport properties of artificial graphene composed of quasi-2D InAs/GaAs quantum dots. The coupling to cavity photons is modeled by constructing a complete basis as the tensor product of the electronic Hilbert space and the Fock space. Numerical calculations for the system embedded in a linear cavity predict the existence of both type-I and type-II Dirac points which can be distinguished by their response to Rashba interaction. Rashba coupling opens a gap at type-II Dirac points, while type-I Dirac points remain gapless. For both cylindrical and linear cavities, electron–photon hybrid states and Rabi splittings between energy minibands are found. Multiple crossings and anticrossings between Dirac-band replicas produce pronounced modifications of the spin-Hall conductivity, including strong anisotropy and oscillatory behavior controlled by cavity geometry and polarization.

Abstract

We investigate the combined effect of a far-infrared cavity field and Rashba spin–orbit interaction on the band structure and transport properties of artificial graphene composed of quasi-2D InAs/GaAs quantum dots. The coupling to cavity photons is modeled by constructing a complete basis as the tensor product of the electronic Hilbert space and the Fock space. Numerical calculations for the system embedded in a linear cavity predict the existence of both type-I and type-II Dirac points which can be distinguished by their response to Rashba interaction. Rashba coupling opens a gap at type-II Dirac points, while type-I Dirac points remain gapless. For both cylindrical and linear cavities, electron–photon hybrid states and Rabi splittings between energy minibands are found. Multiple crossings and anticrossings between Dirac-band replicas produce pronounced modifications of the spin-Hall conductivity, including strong anisotropy and oscillatory behavior controlled by cavity geometry and polarization.

Abstract

We investigate the combined effect of a far-infrared cavity field and Rashba spin–orbit interaction on the band structure and transport properties of artificial graphene composed of quasi-2D InAs/GaAs quantum dots. The coupling to cavity photons is modeled by constructing a complete basis as the tensor product of the electronic Hilbert space and the Fock space. Numerical calculations for the system embedded in a linear cavity predict the existence of both type-I and type-II Dirac points which can be distinguished by their response to Rashba interaction. Rashba coupling opens a gap at type-II Dirac points, while type-I Dirac points remain gapless. For both cylindrical and linear cavities, electron–photon hybrid states and Rabi splittings between energy minibands are found. Multiple crossings and anticrossings between Dirac-band replicas produce pronounced modifications of the spin-Hall conductivity, including strong anisotropy and oscillatory behavior controlled by cavity geometry and polarization.