Bathing in a sea of candidate quantum spin liquids: From the gapless ruby to the gapped maple-leaf lattice

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Main Authors: Schmoll, Philipp, Naumann, Jan, Weerda, Erik Lennart, Eisert, Jens, Iqbal, Yasir
Format: Preprint
Published: 2024
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author Schmoll, Philipp
Naumann, Jan
Weerda, Erik Lennart
Eisert, Jens
Iqbal, Yasir
author_facet Schmoll, Philipp
Naumann, Jan
Weerda, Erik Lennart
Eisert, Jens
Iqbal, Yasir
contents The spin-$1/2$ Heisenberg antiferromagnet on the two-dimensional ruby and maple-leaf lattices is emerging as a new paradigmatic model of frustrated quantum magnetism, with the potential to realize intricate many-body phases on both mineral and synthetic platforms. We provide evidence that the generalized model interpolating between these two lattices features an extended quantum spin liquid ground state, which is gapless on the ruby lattice and gapped on the maple-leaf lattice, with the transition between the two occurring midway. We present equal-time spin structure factors which further characterize the nature of the presumed quantum spin liquid. Our results are based on one of the most extensive state-of-the-art variational infinite tensor network calculations to date, thereby helping us to resolve the long-standing issue of the delicate competition between magnetically ordered and paramagnetic states in this family of models.
format Preprint
id arxiv_https___arxiv_org_abs_2407_07145
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Bathing in a sea of candidate quantum spin liquids: From the gapless ruby to the gapped maple-leaf lattice
Schmoll, Philipp
Naumann, Jan
Weerda, Erik Lennart
Eisert, Jens
Iqbal, Yasir
Strongly Correlated Electrons
The spin-$1/2$ Heisenberg antiferromagnet on the two-dimensional ruby and maple-leaf lattices is emerging as a new paradigmatic model of frustrated quantum magnetism, with the potential to realize intricate many-body phases on both mineral and synthetic platforms. We provide evidence that the generalized model interpolating between these two lattices features an extended quantum spin liquid ground state, which is gapless on the ruby lattice and gapped on the maple-leaf lattice, with the transition between the two occurring midway. We present equal-time spin structure factors which further characterize the nature of the presumed quantum spin liquid. Our results are based on one of the most extensive state-of-the-art variational infinite tensor network calculations to date, thereby helping us to resolve the long-standing issue of the delicate competition between magnetically ordered and paramagnetic states in this family of models.
title Bathing in a sea of candidate quantum spin liquids: From the gapless ruby to the gapped maple-leaf lattice
topic Strongly Correlated Electrons
url https://arxiv.org/abs/2407.07145