Abstract

We develop an exact analytical framework for center-of-mass and relative-motion separation in anisotropic two-dimensional magnetoexcitons without the stationary center-of-mass approximation. Using the conserved pseudomomentum, we derive a relative-motion Hamiltonian with anisotropy-dependent couplings and solve the resulting Schrödinger equation by the Feranchuk-Komarov operator method and Levi-Civita transformation. Applications to monolayer black phosphorus and titanium trisulfide, both freestanding and hBN-encapsulated, yield magnetoexciton energies, diamagnetic coefficients, and probability densities for the ten lowest states over broad magnetic-field ranges.

Abstract

We develop an exact analytical framework for center-of-mass and relative-motion separation in anisotropic two-dimensional magnetoexcitons without the stationary center-of-mass approximation. Using the conserved pseudomomentum, we derive a relative-motion Hamiltonian with anisotropy-dependent couplings and solve the resulting Schrödinger equation by the Feranchuk-Komarov operator method and Levi-Civita transformation. Applications to monolayer black phosphorus and titanium trisulfide, both freestanding and hBN-encapsulated, yield magnetoexciton energies, diamagnetic coefficients, and probability densities for the ten lowest states over broad magnetic-field ranges.

Abstract

We develop an exact analytical framework for center-of-mass and relative-motion separation in anisotropic two-dimensional magnetoexcitons without the stationary center-of-mass approximation. Using the conserved pseudomomentum, we derive a relative-motion Hamiltonian with anisotropy-dependent couplings and solve the resulting Schrödinger equation by the Feranchuk-Komarov operator method and Levi-Civita transformation. Applications to monolayer black phosphorus and titanium trisulfide, both freestanding and hBN-encapsulated, yield magnetoexciton energies, diamagnetic coefficients, and probability densities for the ten lowest states over broad magnetic-field ranges.

Abstract

We develop an exact analytical framework for center-of-mass and relative-motion separation in anisotropic two-dimensional magnetoexcitons without the stationary center-of-mass approximation. Using the conserved pseudomomentum, we derive a relative-motion Hamiltonian with anisotropy-dependent couplings and solve the resulting Schrödinger equation by the Feranchuk-Komarov operator method and Levi-Civita transformation. Applications to monolayer black phosphorus and titanium trisulfide, both freestanding and hBN-encapsulated, yield magnetoexciton energies, diamagnetic coefficients, and probability densities for the ten lowest states over broad magnetic-field ranges.