Asymptotic behavior of correlation functions of one-dimensional polar-molecules on optical lattices

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Abstract

We combine a slave-spin approach with a mean-field theory to develop an approximate theoretical scheme to study the density, spin, and, pairing correlation functions of fermionic polar molecules. We model the polar molecules subjected to a one-dimensional periodic optical lattice potential using a generalized t-J model, where the long-range part of the interaction is included through the exchange interaction parameter. For this model, we derive a set of self-consistent equations for the correlation functions, and evaluate them numerically for the long-distance behavior. We find that the pairing correlations are related to spin correlations through the density and the slave-spin correlations. Further, our calculations indicates that the long-range character of the interaction can be probed through these correlation functions. In the absence of exact solutions for the one-dimensional t-J model, our approximate theoretical treatment can be treated as a useful tool to study one dimensional long-range correlated fermions.

Original languageEnglish (US)
Article number235302
JournalJournal of Physics B: Atomic, Molecular and Optical Physics
Volume53
Issue number23
DOIs
StatePublished - Dec 2020

Keywords

  • Correlation functions
  • Optical lattice
  • Polar molecules
  • T-J model

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics
  • Condensed Matter Physics

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