We present a method for calculating the spectrum of periodic solids within reduced density matrix functional theory. This method is validated by a detailed comparison of the angular momentum projected spectral density with that of well established many-body techniques, in all cases finding an excellent agreement. The physics behind the pressure induced insulator-metal phase transition in MnO is investigated. The driving mechanism of this transition is identified as increased crystal field splitting with pressure, resulting in a charge redistribution between the Mn eg and t2g symmetry projected states.
PACS numbers:Transition metal oxides (TMOs), the prototypical Mott insulators, are test-bed systems for new functionals within density functional theory (DFT) and manybody theories alike. Ground state spectra obtained from many-body theories are in good agreement with experiments. Moreover, the spectral density obtained using dynamical mean field theory (DMFT) [1] and the G 0 W 0 corrected DFT[2] agree with each other even for subtle features such as symmetry and site projected spectral density. Single particle DFT spectra can also be made to agree with these many-body results by using two separate fitting parameters; the on-site Coulomb term U and the scissors shift ∆, where ∆ is the difference between the experimental gap and the Kohn-Sham gap obtained using the LSDA+U functional [2].Away from the ground-state TMOs show the rich physics of insulator-metal phase transitions. The classic Mott insulator, MnO, exhibits metalization under pressure. This phase transition is accompanied by a simultaneous moment and volume collapse [3][4][5][6][7][8]. On the theory side, however, the physics of this phase transition is totally different for different methods; while DFT results indicate that the increase in band width controls the phase transition[9, 10] DMFT results, on the other hand, show that the main reason for metalization lies in the increased crystal field splitting[1].Recently, RDMFT has shown potential for correctly treating Mott insulators under ambient conditions [11,12]. RDMFT is an appealing alternative since it does not require any system dependent parameters and thus is a truly ab-initio theory for treating strong correlations. However, it still remains to be seen how RDMFT performs away from ambient pressure conditions; can RDMFT capture the insulator-metal phase transition? What is the physics of this phase transition within RDMFT? In order to answer these questions one requires two things: (1)a magnetic extension of RDMFT and (2) information about photo-emission spectrum to shed light on the nature of the phase transition. The latter is a difficult quantity to extract from RDMFT which, by its very nature, is a ground-state theory.In the present work we extend RDMFT to describe magnetic solids and further present a technique for calculating the photo-emission spectrum. We validate this technique by demonstrating an excellent agreement of the t 2g and e g resolved spectral density thus obtained, with the ...