Modified large-$N$ approach to gapless spin liquids, magnetic orders, and dynamics: Application to triangular lattice antiferromagnets

Fuente: arXiv
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Main Authors: Bose, Anjishnu, Hart, Kathleen, Sutcliffe, Ruairidh, Paramekanti, Arun
Format: Preprint
Published: 2025
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author Bose, Anjishnu
Hart, Kathleen
Sutcliffe, Ruairidh
Paramekanti, Arun
author_facet Bose, Anjishnu
Hart, Kathleen
Sutcliffe, Ruairidh
Paramekanti, Arun
contents Recent work has shown that the triangular lattice spin-$1/2$ $J_1$-$J_2$ Heisenberg and XXZ antiferromagnets may exhibit coplanar or supersolid orders proximate to a gapless Dirac spin liquid phase. We explore a distinct $SU(2N)\!\!\times\!\!SU(M)$ fermionic parton approach, complemented by variational Monte Carlo calculations for the spin-$1/2$ model, to study the phase diagram of these models. We also calculate their dynamical spin response including parton interactions within a random phase approximation, and discuss implications for neutron scattering on triangular lattice cobaltates Ba$_3$CoSb$_2$O$_9$, Na$_2$BaCo(PO$_4$)$_2$, K$_2$Co(SeO$_3$)$_2$, Rb$_2$Co(SeO$_3$)$_2$, and Yb-based magnet KYbSe$_2$.
format Preprint
id arxiv_https___arxiv_org_abs_2503_09695
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Modified large-$N$ approach to gapless spin liquids, magnetic orders, and dynamics: Application to triangular lattice antiferromagnets
Bose, Anjishnu
Hart, Kathleen
Sutcliffe, Ruairidh
Paramekanti, Arun
Strongly Correlated Electrons
Recent work has shown that the triangular lattice spin-$1/2$ $J_1$-$J_2$ Heisenberg and XXZ antiferromagnets may exhibit coplanar or supersolid orders proximate to a gapless Dirac spin liquid phase. We explore a distinct $SU(2N)\!\!\times\!\!SU(M)$ fermionic parton approach, complemented by variational Monte Carlo calculations for the spin-$1/2$ model, to study the phase diagram of these models. We also calculate their dynamical spin response including parton interactions within a random phase approximation, and discuss implications for neutron scattering on triangular lattice cobaltates Ba$_3$CoSb$_2$O$_9$, Na$_2$BaCo(PO$_4$)$_2$, K$_2$Co(SeO$_3$)$_2$, Rb$_2$Co(SeO$_3$)$_2$, and Yb-based magnet KYbSe$_2$.
title Modified large-$N$ approach to gapless spin liquids, magnetic orders, and dynamics: Application to triangular lattice antiferromagnets
topic Strongly Correlated Electrons
url https://arxiv.org/abs/2503.09695