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arXiv:2404.05617 · Physical review. B./Physical review. B

Candidate quantum spin liquids on the maple-leaf lattice

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

Published Jul 10, 2024• 10 citations
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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 $17\phantom{\rule{4pt}{0ex}}\text{U}(1)$ and $12\phantom{\rule{4pt}{0ex}}{\mathbb{Z}}_{2}$ 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.

DOI
10.1103/physrevb.110.014414

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Motivated by recent numerical studies reporting putative quantum paramagnetic behavior in spin-1/21/21/2 Heisenberg models on the maple-leaf lattice, we classify Abrikosov fermion mean-field Ans"atze of fully symmetric U(1) and Z2{\mathbb{Z}}_{2}Z2​ quantum spin liquids within the framework of projective symmetry groups. We obtain a total of 17U(1)17\phantom{\rule{4pt}{0ex}}\text{U}(1)17U(1) and 12Z212\phantom{\rule{4pt}{0ex}}{\mathbb{Z}}_{2}12Z2​ 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 Z2{\mathbb{Z}}_{2}Z2​ 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.
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Projective symmetry group classification of fermionic Z2Z_2Z2​ spin liquids on the dipolar-octupolar pyrochlore magnets
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