Dynamical density correlation function of 1D Mott insulators in a magnetic field

Abstract

We consider the one dimensional (1D) extended Hubbard model at half filling in the presence of a magnetic field. Using field theory techniques we calculate the dynamical density-density correlation function ${\chi }_{nn}(\omega ,q)$ in the low-energy limit. When excitons are formed, a singularity appears in ${\chi }_{nn}(\omega ,q)$ at a particular energy and momentum transfer.

7 pages, 4 figures

References in corpus (4)

• Dynamical density-matrix renormalization-group method
• Weakly coupled one-dimensional Mott insulators
• Excitons in one-dimensional Mott insulators
• Spectral function of a quarter-filled one-dimensional CDW insulator

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• Pseudoparticle approach to 1D integrable quantum models
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• Absence of ballistic charge transport in the half-filled 1D Hubbard model
• One-particle spectral functions of the one-dimensional Fermionic Hubbard model with one fermion per site at zero and finite magnetic fields
• Universal thermodynamics of the one-dimensional attractive Hubbard model