# Ground-state energy of noninteracting fermions with a random energy spectrum

@article{Schawe2018GroundstateEO,
title={Ground-state energy of noninteracting fermions with a random energy spectrum},
author={H. Schawe and A. Hartmann and S. Majumdar and G. Schehr},
journal={EPL},
year={2018},
volume={124},
pages={40005}
}
• H. Schawe, +1 author G. Schehr
• Published 2018
• Physics
• EPL
• We derive analytically the full distribution of the ground-state energy of $K$ non-interacting fermions in a disordered environment, modelled by a Hamiltonian whose spectrum consists of $N$ i.i.d.~random energy levels with distribution $p(\varepsilon)$ (with $\varepsilon \geq 0$), in the same spirit as the `Random Energy Model'. We show that for each fixed $K$, the distribution $P_{K,N}(E_0)$ of the ground-state energy $E_0$ has a universal scaling form in the limit of large $N$. We compute… CONTINUE READING

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