Excitonic versus electron-hole liquid phases in Tm[Se,Te] compounds

Abstract

We discuss, from a theoretical point of view, excitonic phases at the pressure induced semiconductor-semimetal transition in $\mathrm{TmS}{\mathrm{e}}_{0.45}\mathrm{T}{\mathrm{e}}_{0.55}$,focusing, in particular, on the stability against an electron-hole liquid. The electron-hole pair density parameter $r_s(E_g,T)$ is calculated within the quasi-static plasmon pole approximation as a function of temperature $T$ and energy gap $E_g$ and converted into $-E_g(r_s,T)$. A comparison of this quantity, which is the electron-hole pair chemical potential, with the exciton binding energy reveals that excitons should be suppressed in contrast to experimental evidence for excitonic phases. We suspect therefore inter-valley exciton scattering and exciton-phonon scattering to substantially stabilise excitons in $\mathrm{TmS}{\mathrm{e}}_{0.45}\mathrm{T}{\mathrm{e}}_{0.55}$.

4 pages, 4 figures, accepted to the proceedings of the ICM 2006 Satellite Workshop "Novel Pressure-induced Phenomena in Condensed Matter Systems (NP2CMS)", Fukuoka, Japan