Density-functional theory in strong magnetic fields

Evaluation of vorticity expansion approximation of current-density functional theory by means of Levy’s asymptotic bound

“…Many attempts to develop the approximate form have been presented so far. 8,9,[16][17][18][19][20][21][22][23][24][25][26][27][28][29] We have already suggested two strategies for treating the approximate form. 22 One is to start with the coupling-constant expression of the exchangecorrelation energy functional of the CDFT.…”

“…1,2 The DFT has been extended so that various physical quantities can be chosen as basic variables. [3][4][5] For instance, the spin-density functional theory, 6,7 the current-density functional theory ͑CDFT͒, [8][9][10][11] and LDA+ U method [12][13][14][15] are regarded as examples of such extensions.…”

Calculation of magnetic oscillations via the magnetic-field-containing relativistic tight-binding approximation method: Revisiting the de Haas–van Alphen effect

“…Therefore, it is expected that the MFRTB method can revisit the dHvA effect from the viewpoint of the first-principles calculation. Besides the description of the dHvA effect, the MFRTB method is also expected to be used for revealing the mechanism of the elastic softening of the boron-doped silicon immersed in the magnetic field [12][13][14][15], and for solving the Kohn-Sham equations of the current-density functional theories [16][17][18][19][20][21][22]. In the previous paper, we have applied this method to the crystalline silicon immersed in the magnetic field and revealed the specific structures of the energy spectrum [11].…”

Collective Electron Dynamics in Metallic and Semiconductor Nanostructures

“…This model is described in detail in [43]. CDFT was originally derived by Vignale and Rasolt [44] to describe, within the framework of DFT, situations where strong magnetic fields and orbital currents cannot be ignored.…”