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arXiv · 2404.05617

Candidate quantum spin liquids on the maple-leaf lattice

Jonas Sonnenschein·Atanu Maity·Chunxiao Liu·Ronny Thomale·Francesco Ferrari·Yasir Iqbal
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Abstract

Motivated by recent numerical studies reporting putative quantum paramagnetic behavior in spin-$1/2$ Heisenberg models on the maple-leaf lattice, we classify Abrikosov fermion mean-field Ans\"atze of fully symmetric $U(1)$ and $\mathbb{Z}_{2}$ quantum spin liquids within the framework of projective symmetry groups. We obtain a total of $17$ $U(1)$ and $12$ $\mathbb{Z}_{2}$ algebraic PSGs, and, upon restricting their realization via mean-field Ans\"atze with nearest-neighbor amplitudes (relevant to the studied models), only 12 $U(1)$ and 8 $\mathbb{Z}_{2}$ distinct phases are obtained. We present both singlet and triplet fields for all Ans\"atze up to third nearest-neighbor bonds and discuss their spinon dispersions as well as their dynamical spin structure factors. We further assess the effects of Gutzwiller projection on the equal-time spin structure factors, and identify a $U(1)$ Fermi surface spin liquid whose structure factor most closely reproduces the one obtained from pseudo-fermion functional renormalization group calculations.

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Jonas Sonnenschein, Atanu Maity, Chunxiao Liu, Ronny Thomale, Francesco Ferrari, Yasir Iqbal. 2024-04-08. Candidate quantum spin liquids on the maple-leaf lattice. https://doi.org/10.1103/physrevb.110.014414

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