Ground states of helium to neon and their ions in strong magnetic fields

We use the combination of a two-dimensional Hartree-Fock and a diffusion quantum Monte Carlo method, both of which we recently presented in this journal [C. Schimeczek et al., Phys. Rev. A 88, 012509 (2013)], for a thorough investigation of the ground state configurations of all atoms and ions with $Z=2$–10 with the exception of hydrogen-like systems in strong magnetic fields. We obtain the most comprehensive data set of ground state configurations as a function of the magnetic field strength currently available and hence are able to analyze and compare the properties of systems with different core charges and electron numbers in detail.

Figure 1

The larger energy corrections in FPDQMC (solid lines) with respect to 2DHFR (dashed lines) for PSP states compared to those for FSP states cause slightly larger predicted values ${\beta }_Z^{\mathrm{Tr}}$ for the transitions between such states in FPDQMC compared to the values in 2DHFR.

Figure 2

Magnetic field strength ${\beta }_Z^{\mathrm{Tr}}$ of the $1s_{}^{\uparrow }$-0 ground state configuration change for helium-like ions with $Z=2$–26 and 92. The dashed line denotes the field strength ${\beta }_{\infty }^{\mathrm{Tr}}=0.17058$, where the energies of the hydrogen states $1s_{}^{\uparrow }$ and $2p_{-1}$ coincide.

Figure 3

Energies of the $2p_0$, $1s_{}^{\uparrow }$, and 0 ground state candidates for neutral boron in the neighborhood of their crossing points. Lines serve as a guide to the eye.

Figure 4

Energies of ${\mathrm{O}}^{2+}$ ground state candidates at the edge of the FSP regime. Lines serve as a guide to the eye.