Homogeneous binary trees as ground states of quantum critical Hamiltonians
Homogeneous binary trees as ground states of quantum critical Hamiltonians
Many-body states whose wave-function admits a representation in terms of a uniform binary-tree tensor decomposition are shown to obey to power-law two-body correlations functions. Any such state can be associated with the ground state of a translational invariant Hamiltonian which, depending on the dimension of the systems sites, involve at …