## Abstract

The ground state energy of a system of electrons (r=r1,r2,⋯) and nuclei (R=R1,R2,⋯) is proven to be a variational functional of the electronic density n(r,R) and paramagnetic current density jp(r,R) conditional on R, the nuclear wave function χ(R), an induced vector potential Aμ(R) and a quantum geometric tensor Tμν(R). n, jp, Aμ and Tμν are defined in terms of the conditional electronic wave function ΦR(r). The ground state (n,jp,χ,Aμ,Tμν) can be calculated by solving self-consistently (i) conditional Kohn-Sham equations containing effective scalar and vector potentials vs(r) and Axc(r) that depend parametrically on R, (ii) the Schrödinger equation for χ(R), and (iii) Euler-Lagrange equations that determine Tμν. The theory is applied to the E-e Jahn-Teller model.

Original language | American English |
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Article number | 193001 |

Journal | Physical Review Letters |

Volume | 117 |

Issue number | 19 |

DOIs | |

State | Published - 4 Nov 2016 |

Externally published | Yes |

### Bibliographical note

Publisher Copyright:© 2016 American Physical Society.