2015/12/16 by C. Degli Esposti Boschi, Cristian Degli Esposti Boschi, Arianna Montorsi +2 · 22 citations
Physics and Astronomy · #Advanced Condensed Matter Physics #Brane #Charge (physics) #Density matrix renormalization group #Hubbard model #Parity (physics) #Physics #Physics of Superconductivity and Magnetism #Quantum #Quantum electrodynamics #Quantum many-body systems #Quantum mechanics #Superconductivity #cond-mat.str-el
paper · pdf · doi:10.1103/physrevb.94.085119
published in Physical review. B./Physical review. B 94(8) (American Physical Society) · Main article: 5 pages, 1 figure. Supplementary information: 4 pages, 8 figures
arxiv created 2015/12/16 · openalex created_date 2016/06/24 · openalex publication_date 2016/08/11 · arxiv updated 2016/08/18 · openalex updated_date 2026/08/05
The Mott insulating state of the Hubbard model at half filling could be depicted as a spin liquid of singly occupied sites with holon-doublon quantum fluctuations localized in pairs. In one dimension the behavior is captured by a finite value of the charge parity string correlator, which fails to remain finite when generalized to higher dimensions. We recover a definition of parity brane correlator which may remain nonvanishing in the presence of interchain coupling, by assigning an appropriate fractional phase to the parity breaking fluctuations. In the case of Hubbard ladders at half filling, we find that the charge parity brane is nonzero at any repulsive value of interaction. The spin-parity brane instead becomes nonvanishing in the even-leg case, in correspondence to the onset of the spin gapped D-Mott phase, which is absent in the odd-leg case. The behavior of the parity correlators is also analyzed by means of a numerical DMRG analysis of the one- and two-leg ladder.