Correlated ground states with (spontaneously) broken time-reversal symmetry

Abstract

We propose a self-consistent scheme for the determination of the ground-state (GS) properties of interacting electrons in a magnetic field, and of systems whose GS's time-reversal-symmetry (TRS) is spontaneously broken. It is based on a newly-developed many-body perturbation theory that is valid, irrespective of the strength of correlation, provided the GS number densities $n_{\uparrow }(\mathbf{r})$, $n_{\downarrow }(\mathbf{r})$, and the {\sl total} paramagnetic particle flux density are pure-state non-interacting $v$-representable. Our approach can in particular be applied to (modulated) two-dimensional electron systems in the fractional quantum-Hall regime.

4 pages, 2 figures; fig. 2 corrected & 2 references added

References in corpus (1)

• Current density functional theory of quantum dots in a magnetic field

Cited by in corpus (1)

• Many-body diagrammatic expansion in a Kohn-Sham basis: implications for Time-Dependent Density Functional Theory of excited states