Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

arXiv:1408.2656 · The European Physical Journal B

Density matrix spectra and order parameters in the 1D extended Hubbard model

Wing Chi Yu, Shi-Jian Gu, Hai‐Qing Lin

Published Sep 30, 2016• 13 citations
arXivHTMLPDF
DOI
10.1140/epjb/e2016-70361-6

Related papers

Fidelity susceptibilities in the one-dimensional extended Hubbard model

Wing Chi Yu, Shi-Jian Gu, Hai‐Qing Lin

We investigated the fidelity susceptibility in the one-dimension (1D) Hubbard model and the extended Hubbard model at half-filling via the density matrix renormalization group. From the numerical results, we argue that in the 1D Hubbard model, the fidelity susceptibility shows a divergence at two points which is infinitesimally close to the critical point while it is always extensive exactly at the critical point. For the extended Hubbard model, we found that for a properly chosen driving parameter, the fidelity susceptibility is able to reveal the quantum phase transitions between the PS (phase separation)-superconducting, superconducting-CDW (charge-density wave), CDW-SDW(spin-density wave), SDW-PS, CDW-BOW (bond-order wave), and the BOW-SDW phases.

arXiv:1408.2642•Aug 12, 2014•1 citation

The Phase Diagram of the One-Dimensional Extended Hubbard Model

H. Q. Lin, Eduardo R. Gagliano, David K Campbell +2 more

NATO ASI series. Series B : Physics•Jan 1, 1995•6 citations

EXCITATION SPECTRUM IN THE ONE-DIMENSIONAL HUBBARD MODEL

А. А. Овчинников

Advanced series in mathematical physics•May 1, 1994•8 citations

Spin and charge excitations in the anisotropic Hubbard ladder at quarter filling with charge-ordering instability

Y. Ohta, T. Nakaegawa, Satoshi Ejima

Quantum Monte Carlo and density-matrix renormalization group methods are used to study the coupled spin-pseudospin Hamiltonian in one-dimension (1D) that models the charge-ordering instability of the anisotropic Hubbard ladder at quarter filling. We calculate the temperature dependence of the uniform spin susceptibility and specific heat as well as the spin and charge excitation spectra of the system. We thereby show that there is a parameter and temperature region where the spin degrees of freedom are separated from the charge degrees of freedom and behave like a 1D antiferromagnetic Heisenberg model, and that, outside this parameter region and above a crossover temperature, the spin excitations are largely affected by the charge fluctuations. We argue that observed anomalous spin dynamics in the disorder phase of a typical charge-ordered material ${\ensuremath{\alpha}}^{\ensuremath{'}}\text{\ensuremath{-}}{\mathrm{NaV}}_{2}{\mathrm{O}}_{5}$ may possibly be a consequence of this type of spin-charge coupling.

arXiv:cond-mat/0512310•Physical Review B•Jan 3, 2006•5 citations

Fundamental role of nonlocal orders in 1D extended Bose–Hubbard model

Nitya Cuzzuol, Arianna Montorsi

Nonlocal order parameters capture the presence of correlated fluctuations between specific degrees of freedom, in otherwise disordered quantum matter. Here, we provide a further example of their fundamental role, deriving the ground state phase diagram of the filling one extended Bose-Hubbard model, exclusively in terms of their ordering. By means of a density matrix renormalization group numerical analysis, we show that in addition to the (even) parity order characteristic of the Mott insulating phase and the string order nonvanishing in the Haldane insulator, the recently proposed odd parity order completes the picture, becoming nonvanishing at the transition from the normal superfluid to the paired superfluid phase. The above three nonlocal parameters capture all the distinct phases, including the density wave phase, in which the local order is seen as the simultaneous presence of correlated fluctuations in different channels. They provide a unique tool for the experimental observation of the full phase diagram of strongly correlated quantum matter, by means of local density measurements.

arXiv:2405.03336•Chaos An Interdisciplinary Journal of Nonlinear Science•Jun 1, 2024•1 citation

Excitation spectrum of the one-dimensional Hubbard model

Cornelius F. Coll

Advanced series in mathematical physics•May 1, 1994•2 citations
We investigated the fidelity susceptibility in the one-dimension (1D) Hubbard model and the extended Hubbard model at half-filling via the density matrix renormalization group. From the numerical results, we argue that in the 1D Hubbard model, the fidelity susceptibility shows a divergence at two points which is infinitesimally close to the critical point while it is always extensive exactly at the critical point. For the extended Hubbard model, we found that for a properly chosen driving parameter, the fidelity susceptibility is able to reveal the quantum phase transitions between the PS (phase separation)-superconducting, superconducting-CDW (charge-density wave), CDW-SDW(spin-density wave), SDW-PS, CDW-BOW (bond-order wave), and the BOW-SDW phases.
Quantum Monte Carlo and density-matrix renormalization group methods are used to study the coupled spin-pseudospin Hamiltonian in one-dimension (1D) that models the charge-ordering instability of the anisotropic Hubbard ladder at quarter filling. We calculate the temperature dependence of the uniform spin susceptibility and specific heat as well as the spin and charge excitation spectra of the system. We thereby show that there is a parameter and temperature region where the spin degrees of freedom are separated from the charge degrees of freedom and behave like a 1D antiferromagnetic Heisenberg model, and that, outside this parameter region and above a crossover temperature, the spin excitations are largely affected by the charge fluctuations. We argue that observed anomalous spin dynamics in the disorder phase of a typical charge-ordered material ${\ensuremath{\alpha}}^{\ensuremath{'}}\text{\ensuremath{-}}{\mathrm{NaV}}_{2}{\mathrm{O}}_{5}$ may possibly be a consequence of this type of spin-charge coupling.
Nonlocal order parameters capture the presence of correlated fluctuations between specific degrees of freedom, in otherwise disordered quantum matter. Here, we provide a further example of their fundamental role, deriving the ground state phase diagram of the filling one extended Bose-Hubbard model, exclusively in terms of their ordering. By means of a density matrix renormalization group numerical analysis, we show that in addition to the (even) parity order characteristic of the Mott insulating phase and the string order nonvanishing in the Haldane insulator, the recently proposed odd parity order completes the picture, becoming nonvanishing at the transition from the normal superfluid to the paired superfluid phase. The above three nonlocal parameters capture all the distinct phases, including the density wave phase, in which the local order is seen as the simultaneous presence of correlated fluctuations in different channels. They provide a unique tool for the experimental observation of the full phase diagram of strongly correlated quantum matter, by means of local density measurements.