Kavli Affiliate: Gang Su
| First 5 Authors: Dai-Wei Qu, Qiaoyi Li, Shou-Shu Gong, Yang Qi, Wei Li
| Summary:
Recently, robust $d$-wave superconductive (SC) order has been unveiled in the
ground state of the 2D $t$-$t’$-$J$ model — with both nearest-neighbor ($t$)
and next-nearest-neighbor ($t’$) hoppings — by density matrix renormalization
group studies. However, there is currently a debate on whether the $d$-wave SC
holds up strong on both $t’/t>0$ and $t’/t<0$ cases for the $t$-$t’$-$J$ model,
which correspond to the electron- and hole-doped sides of the cuprate phase
diagram, respectively. Here we exploit state-of-the-art thermal tensor network
approach to accurately obtain the phase diagram of the $t$-$t’$-$J$ model on
cylinders with widths up to $W=6$ and down to low temperature as $T/J simeq
0.06$, pushing the boundaries of contemporary finite-$T$ calculations. For
$t’/t>0$, we find a dome-like SC regime with a diverging $d$-wave pairing
susceptibility, $chi_textrm{SC} propto 1/T^alpha$ below a characteristic
temperature $T_c^*$. Near optimal doping, $T_c^*$ reaches its highest value of
about $0.15 J$. Above $T_c^*$ yet below a higher crossover temperature $T^*$,
the magnetic susceptibility becomes suppressed, which can be related to the
onset of pseudogap (PG) behaviors. On the other hand, for $t’/t<0$ we find the
pairing correlations are much weaker, although there exhibits a node-antinode
structure in the PG regime as observed in the hole-doped cuprates. The thermal
tensor network calculations of the $t$-$t’$-$J$ model underscore both the
similarities and differences in the finite-temperature phase diagram between
the fundamental model and cuprates, yielding unique insights into their
intricate behaviors.
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