# 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} }

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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