Many Body Localization Due to Correlated Disorder in Fock Space

Understand

In presence of strong enough disorder one dimensional systems of interacting spinless fermions at non-zero filling factor are known to be in a many body localized phase.

• When represented in Fock space, the Hamiltonian of such a system looks like that of a single particle hopping on a Fock lattice in the presence of a random disordered potential.
• The coordination number of the Fock lattice increases linearly with the system size L in 1D.
• Thus in the thermodynamic limit, the disordered interacting problem in 1D maps on to an Anderson model with infinite coordination number.