Fock-space geometry and strong correlations in many-body localized systems

We adopt a geometric perspective on Fock space to provide two complementary insights into the eigenstates in many-body localized fermionic systems. On one hand, individual many-body-localized are well approximated by Slater determinant of single-particle orbitals. other orbitals different given system display varying, and generally imperfect, degree compatibility, as we quantify measure based projectors onto corresponding subspaces. study this incompatibility between states fixed differing particle number, inside outside regime. This gives detailed emergence strongly correlated nature quasiparticlelike excitations systems, revealing intricate correlations numbers down level realizations.