TY - JOUR
T1 - Asymptotic behavior of correlation functions of one-dimensional polar-molecules on optical lattices
AU - De Silva, Theja N.
N1 - Publisher Copyright:
© 2020 IOP Publishing Ltd.
PY - 2020/12
Y1 - 2020/12
N2 - 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.
AB - 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.
KW - Correlation functions
KW - Optical lattice
KW - Polar molecules
KW - T-J model
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U2 - 10.1088/1361-6455/abc141
DO - 10.1088/1361-6455/abc141
M3 - Article
AN - SCOPUS:85096793051
SN - 0953-4075
VL - 53
JO - Journal of Physics B: Atomic, Molecular and Optical Physics
JF - Journal of Physics B: Atomic, Molecular and Optical Physics
IS - 23
M1 - 235302
ER -