Quantum disentangled liquid in the half-filled Hubbard model

We investigate the existence of quantum-disentangled liquid (QDL) states in the half-filled Hubbard model on bipartite lattices. In the one-dimensional case we employ a combination of integrability and strong-coupling expansion methods to argue that there are indeed finite energy-density eigenstates...

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Hlavní autoři: Veness, T, Essler, F, Fisher, M
Médium: Journal article
Vydáno: American Physical Society 2017
Popis
Shrnutí:We investigate the existence of quantum-disentangled liquid (QDL) states in the half-filled Hubbard model on bipartite lattices. In the one-dimensional case we employ a combination of integrability and strong-coupling expansion methods to argue that there are indeed finite energy-density eigenstates that exhibit QDL behavior in the sense of Grover and Fisher [J. Stat. Mech. (2014) P1001010.1088/1742-5468/2014/10/P10010]. The states exhibiting the QDL property are atypical in the sense that while their entropy density is nonzero, it is smaller than that of thermal states at the same energy density. We argue that for U≫t these latter thermal states exhibit a weaker form of the QDL property, which carries over to the higher dimensional case.