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arXiv · 1610.04300

Intertwined Order in a Frustrated 4-leg $t - J$ Cylinder

John F. Dodaro·Hong-Chen Jiang·Steven A. Kivelson
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Abstract

We report a density-matrix renormalization group study of the $t$-$J$ model with nearest ($t_1$ & $J_1$) and next-nearest ($t_2$ & $J_2$) interactions on a 4-leg cylinder with concentration $δ=1/8$ of doped holes. We observe an astonishingly complex interplay between uniform $d$-wave superconductivity (SC) and strong spin and charge density wave ordering tendencies (SDW and CDW). Depending on parameters, the CDWs can be commensurate with period 4 or 8. By comparing the charge ordering vectors with $2 k_F$, we rule out Fermi surface nesting-induced density wave order in our model. Magnetic frustration (i.e. $J_2/J_1 \sim 1/2$) significantly quenches SDW correlations with little effect on the CDW. Typically, the SC order is strongly modulated at the CDW ordering vector and exhibits $d$-wave symmetry around the cylinder. There is no evidence of a near-degenerate tendency to pair-density wave (PDW) ordering, charge 4e SC, or orbital current order.

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John F. Dodaro, Hong-Chen Jiang, Steven A. Kivelson. 2016-10-14. Intertwined Order in a Frustrated 4-leg $t - J$ Cylinder. https://doi.org/10.1103/physrevb.95.155116

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