Dynamic polarization, quantum spectral function and effective mass for black phosphorous: Random phase approximation approach at finite temperature

Abstract

In this work, the finite-temperature dynamic polarization function of black phosphorus is obtained using the random phase approximation (RPA) for the lower band of the corresponding effective Hamiltonian. The maximum temperature-dependent polarization of the orthorhombic honeycomb structure of black phosphorus is observed at ω=0.54eV for wavectors at the Fermi level. Several peaks are thus observed indicating that an overall Fermi-liquid behavior is present but with different kinds of quasiparticles. These quasiparticles appear due to the highly anisotropic energy dispersion. Experiments conducted on black phosphorous at a temperature of 10 K have a tremendous effect on the scattering mechanism. Subsequently, the quasiparticle behavior is studied through the spectral function and the effective mass, each resolved on the three components of the wave number. The resulting effective mass anisotropy causes the plasmon to disperse completely, leading to a lower resonant frequency when there is a larger mass along one of the axes. At large wavelengths, the RPA result is almost identical to that obtained from the classical plasmon dispersion.