arXiv:1110.5237 · Journal of Physics Conference Series

Spin and charge orderings in the atomic limit of theU-V-Jmodel

Francesco Paolo Mancini, Evgeny A. Plekhanov, Gerardo Sica

Published Dec 14, 2012• 7 citations

Abstract

In this paper we study a generalization of the 1D Hubbard model in the atomic limit by considering density-density and Ising-type spin-spin nearest neighbor (NN) interactions, parameterized by V and J , respectively. We present the T = 0 phase diagram for both ferro ( J > 0) and anti-ferro ( J < 0) coupling obtained in the narrow-band limit by means of an extension to zero-temperature of the transfer-matrix method. Based on the values of the Hamiltonian parameters, we identify a number of phases that involve orderings of the double occupancy, NN density and spin correlations.

DOI: 10.1088/1742-6596/391/1/012148

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arXiv:1110.5237 · Journal of Physics Conference Series

Spin and charge orderings in the atomic limit of theU-V-Jmodel

Francesco Paolo Mancini, Evgeny A. Plekhanov, Gerardo Sica

Published Dec 14, 2012• 7 citations

arXiv HTML PDF

Abstract

DOI: 10.1088/1742-6596/391/1/012148

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A one-dimensional model of interacting electrons with on-site U, nearest-neighbor V, and correlated-hopping interaction ${T}^{*}$ is studied at half filling using the continuum-limit field theory approach. The ground-state phase diagram is obtained for a wide range of coupling constants. In addition to the insulating spin- and charge-density wave phases for large U and V, respectively, we identify bond-located ordered phases corresponding to an enhanced Peierls instability in the system for ${T}^{*}>0, |U\ensuremath{-}2V|<{8T}^{*}/\ensuremath{\pi}$ and to a staggered magnetization located on bonds between sites for ${T}^{*}<0, |U\ensuremath{-}2V|<8|{T}^{*}|/\ensuremath{\pi}.$ The general ground-state phase diagram including insulating, metallic, and superconducting phases is discussed.A one-dimensional model of interacting electrons with on-site U, nearest-neighbor V, and correlated-hopping interaction ${T}^{*}$ is studied at half filling using the continuum-limit field theory approach. The ground-state phase diagram is obtained for a wide range of coupling constants. In addition to the insulating spin- and charge-density wave phases for large U and V, respectively, we identify bond-located ordered phases corresponding to an enhanced Peierls instability in the system for ${T}^{*}>0, |U\ensuremath{-}2V|<{8T}^{*}/\ensuremath{\pi}$ and to a staggered magnetization located on bonds between sites for ${T}^{*}<0, |U\ensuremath{-}2V|<8|{T}^{*}|/\ensuremath{\pi}.$ The general ground-state phase diagram including insulating, metallic, and superconducting phases is discussed.

arXiv:cond-mat/9808253Physical review. B, Condensed matterMay 15, 199996 citations

{\mathrm{t}}^{|\mathrm{I}\mathrm{H}}

) hopping matrix elements. In addition to the on-site Hubbard interaction (U) we also consider a nearest-neighbor repulsion (V). We obtain the zero-temperature phase diagram of our model within the Hartree-Fock approximation. We consider ground states having charge- and spin-density-wave ordering as well as states with orbital antiferromagnetism or spin nematic order. The latter two states correspond to particle-hole binding with ${\mathrm{d}}_{{\mathrm{x}}^{2}\mathrm{\ensuremath{-}}{\mathrm{y}}^{2}}$ symmetry in the charge and spin channels, respectively. For

{\mathrm{t}}^{|\mathrm{I}\mathrm{H}}

=0, only the charge-density-wave and spin-density-wave states are energetically stable. For nonzero

{\mathrm{t}}^{|\mathrm{I}\mathrm{H}}

, we find that orbital antiferromagnetism (or spin nematic) order is stable over a finite portion of the phase diagram at weak coupling. This region of stability is seen to grow with increasing values of

{\mathrm{t}}^{|\mathrm{I}\mathrm{H}}

{\mathit{J}}_{\mathit{z}}

. We obtain a complete description for ${\mathit{J}}_{\mathrm{\ensuremath{\perp}}}$\ensuremath{\ll}

{\mathit{J}}_{\mathit{z}}

and approximate results for ${\mathit{J}}_{\mathrm{\ensuremath{\perp}}}$=

{\mathit{J}}_{\mathit{z}}

. There is no region of the zero-temperature phase diagram that supports a dilute gas of holes in an antiferromagnet. Rather, the system always phase separates into hole-rich and no-hole phases, a result we believe to be more general than the model we have considered. We find various hole-crystal phases and, at high hole density, we find a ``Fermi-liquid'' phase and at least two superfluid phases, one with a charge 2e and one with a charge 4e order parameter.

A one-dimensional model of interacting electrons with on-site U, nearest-neighbor V, and correlated-hopping interaction

{T}^{*}

is studied at half filling using the continuum-limit field theory approach. The ground-state phase diagram is obtained for a wide range of coupling constants. In addition to the insulating spin- and charge-density wave phases for large U and V, respectively, we identify bond-located ordered phases corresponding to an enhanced Peierls instability in the system for ${T}^{*}>0, |U\ensuremath{-}2V|<{8T}^{*}/\ensuremath{\pi}$ and to a staggered magnetization located on bonds between sites for ${T}^{*}<0, |U\ensuremath{-}2V|<8|{T}^{*}|/\ensuremath{\pi}.$ The general ground-state phase diagram including insulating, metallic, and superconducting phases is discussed.