@article {2010,
	title = {Homogeneous binary trees as ground states of quantum critical Hamiltonians},
	journal = {Phys. Rev. A 81 (2010) 062335},
	number = {arXiv.org;0912.0466v2},
	year = {2010},
	publisher = {American Physical Society},
	abstract = {<p>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 most couplings between third-neighboring sites. A detailed analysis of their spectra shows that they admit an exponentially large ground space.</p>},
	doi = {10.1103/PhysRevA.81.062335},
	url = {http://hdl.handle.net/1963/3909},
	author = {Pietro Silvi and Vittorio Giovannetti and Simone Montangero and Matteo Rizzi and J. Ignacio Cirac and Rosario Fazio}
}
