TY - JOUR

T1 - Asymptotic behavior of correlation functions of one-dimensional polar-molecules on optical lattices

AU - De Silva, Theja N.

N1 - Funding Information:
The author acknowledges the support of Augusta University and the hospitality of KITP at UC-Santa Barbara. A part of this research was completed at KITP and was supported in part by the National Science Foundation under Grant No. NSF PHY11-25915.

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

UR - http://www.scopus.com/inward/record.url?scp=85096793051&partnerID=8YFLogxK

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U2 - 10.1088/1361-6455/abc141

DO - 10.1088/1361-6455/abc141

M3 - Article

AN - SCOPUS:85096793051

VL - 53

JO - Journal of Physics B: Atomic, Molecular and Optical Physics

JF - Journal of Physics B: Atomic, Molecular and Optical Physics

SN - 0953-4075

IS - 23

M1 - 235302

ER -