# P.C. Hohenberg's research while affiliated with Ecole Normale Supérieure de Paris and other places

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## Publications (3)

This paper deals with the ground state of an interacting electron gas in an external potential v(r). It is proved that there exists a universal functional of the density, F[n(r)], independent of v(r), such that the expression E≡∫v(r)n(r)dr+F[n(r)] has as its minimum value the correct ground-state energy associated with v(r). The functional F[n(r)]...

This paper deals with the ground state of an interacting electron gas in an external potential v(r). It is proved that there exists a universal functional of the density, Fn(r), independent of v(r), such that the expression Ev(r)n(r)dr+Fn(r) has as its minimum value the correct ground-state energy associated with v(r). The functional Fn(r) is then...

## Citations

... In ref. 35 the (4 × 4 × 3) cell was found to model disorder at a high-quality level, that is, comparable to SQS cells of bigger sizes. The B3 X 0.5 Y 0.5 N SQS can be easily derived from the B1 X 0.5 Y 0.5 N SQS by noting that the B1 conventional unit cell turns into B3 when the N atom is shifted from the high-symmetry position 1 2 a ...

... Our first-principles calculations are based on the generalized-gradient approximation (GGA) in the Perdew-Burke-Ernzerhof (PBE) form [69][70][71][72][73] within the framework of the density-functional theory (DFT) using projector-augmented-wave (PAW) [74] wave functions as implemented in the Vienna Ab-Initio Simulation Package (VASP) [75,76]. The effect of Van-der-Waals (VdW) interactions was taken into account by using the empirical correction scheme of Grimme (DFT-D2) [77]. ...

... NiFe 2 O 4 , a multifaceted, technologically important spinel ferrite, has been synthesized by various methods such as sol-gel, hydrothermal synthesis, chemical co-precipitation, combustion, ball milling, electrodeposition, radio-frequency (RF) magnetron sputtering, etc. The structural, optical and magnetic properties of inverse spinel and mixed spinel NiFe 2 O 4 synthesized through the above methods have been analyzed experimentally by many research groups [16][17][18][19][20]. But, the number of ab initio density functional theory (DFT) [21,22] [23] have used the full-potential linearized augmented plane wave (FP-APW) method with modified Becke-Johnson (mBJ) exchange-correlation functional to reproduce the experimentally deduced optoelectronic properties of NiFe 2 O 4 . Bouferrache et al. [8] have also used the augmented plane wave plus local orbital method with full potential (FP-LAPW) to investigate the structural, optical, electronic and magnetic properties of inverse spinel NiFe 2 O 4 . ...