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We present a general review of the projective symmetry group classification of fermionic quantum spin liquids for lattice models of spin $S=1/2$. We then introduce a systematic generalization of the approach for symmetric $\mathbb{Z}_2$…

强关联电子 · 物理学 2016-03-31 Samuel Bieri , Claire Lhuillier , Laura Messio

We give a complete classification of fully symmetric as well as chiral $\mathbb{Z}_2$ quantum spin liquids on the pyrochlore lattice using a projective symmetry group analysis of Schwinger boson mean-field states. We find 50 independent…

强关联电子 · 物理学 2022-04-06 Benedikt Schneider , Jad C. Halimeh , Matthias Punk

We perform a projective symmetry group classification of spin $S=1/2$ symmetric quantum spin liquids with different gauge groups on the diamond lattice. Employing the Abrikosov fermion representation, we obtain $8$ $SU(2)$, $62$ $U(1)$ and…

The geometrically frustrated 3D pyrochlore lattice has been long predicted to host a quantum spin liquid, an intrinsic long-range entangled state with fractionalized excitations. To date, most proposals for pyrochlore materials have focused…

强关联电子 · 物理学 2026-03-11 Chunxiao Liu , Gábor B. Halász , Leon Balents

We revisit the challenging problem of identifying the quantum spin liquid candidate in the spin-1/2 $J_1$-$J_2$ Heisenberg antiferromagnet on the square lattice. By integrating the Gutzwiller-guided density matrix renormalization group…

强关联电子 · 物理学 2025-03-11 Hui-Ke Jin , Hong-Hao Tu , Ya-Hui Zhang

We investigate the nature of quantum phases arising in chiral interacting Hamiltonians recently realized in Rydberg atom arrays. We classify all possible fermionic chiral spin liquids with $\mathrm{U}(1)$ global symmetry using parton…

强关联电子 · 物理学 2023-08-09 Poetri Sonya Tarabunga , Giuliano Giudici , Titas Chanda , Marcello Dalmonte

The pyrochlore materials have long been predicted to harbor a quantum spin liquid, an intrinsic long-range-entangled state supporting fractionalized excitations. Existing pyrochlore experiments, on the other hand, have discovered several…

强关联电子 · 物理学 2019-08-19 Chunxiao Liu , Gábor B. Halász , Leon Balents

The parton approach for quantum spin liquids gives a transparent description of low-energy elementary excitations, e.g., spinons and emergent gauge-field fluctuations. The latter ones are directly coupled to the hopping/pairing of spinons.…

强关联电子 · 物理学 2023-11-27 Sasank Budaraju , Yasir Iqbal , Federico Becca , Didier Poilblanc

We investigate the extended Heisenberg model on the Kagome lattice by using Gutzwiller projected fermionic states and the variational Monte Carlo technique. In particular, when both second- and third-neighbor super-exchanges are considered,…

强关联电子 · 物理学 2015-05-26 Wen-Jun Hu , Wei Zhu , Yi Zhang , Shoushu Gong , Federico Becca , D. N. Sheng

We study an extended spin-$1/2$ antiferromagnetic Heisenberg model on the triangular lattice, which includes both nearest- and next-nearest-neighbor interactions, as well as a scalar chiral term. This model exhibits a rich phase diagram…

强关联电子 · 物理学 2025-08-26 Markus Drescher , Laurens Vanderstraeten , Roderich Moessner , Frank Pollmann

Fermionic mean-field theory and variational Monte Carlo calculations are employed to shed light on the possible uniform ground states of the Heisenberg model on the pyrochlore lattice. Among the various flux configurations, we find the…

强关联电子 · 物理学 2009-11-13 Jung Hoon Kim , Jung Hoon Han

We investigate the stability and the nature of the chiral spin liquids which were recently uncovered in extended Heisenberg models on the kagome lattice. Using a Gutzwiller projected wave function approach -- i.e. a parton construction --…

强关联电子 · 物理学 2015-09-23 Alexander Wietek , Antoine Sterdyniak , Andreas M. Läuchli

In this paper, we explore the relationship between strong spin-orbit coupling and spin liquid physics. We study a very general model on the triangular lattice where spin-orbit coupling leads to the presence of highly anisotropic…

强关联电子 · 物理学 2018-03-16 Jason Iaconis , Chunxiao Liu , Gábor B. Halász , Leon Balents

We study fermionic quantum spin liquids (QSLs) on the three-dimensonal trillium lattice of corner-sharing triangles. We are motivated by recent experimental and theoretical investigations that have explored various classical and quantum…

强关联电子 · 物理学 2024-09-05 Ming-Hao Li , Sounak Biswas , S. A. Parameswaran

Chiral spin liquids, which break time-reversal symmetry, are of great interest due to their topological properties and fractionalized excitations (anyons). In this work, we investigate chiral spin liquids (CSL) on the kagome lattice arising…

强关联电子 · 物理学 2026-01-19 Hee Seung Kim , Hyeok-Jun Yang , Karlo Penc , SungBin Lee

Inspired by the recent discovery of a new instability towards a chiral phase of the classical Heisenberg model on the kagome lattice, we propose a specific chiral spin liquid that reconciles different, well-established results concerning…

强关联电子 · 物理学 2012-06-06 Laura Messio , Bernard Bernu , Claire Lhuillier

We use the projective symmetry group analysis to classify the quantum spin liquids on the $S=1/2$ pyrochlore magnet with a breathing anisotropy. We find 40 $\mathbb{Z}_2$ spin liquids and 16 $U(1)$ spin liquids that respect the $F\bar{4}3m$…

强关联电子 · 物理学 2022-11-17 Li Ern Chern , Yong Baek Kim , Claudio Castelnovo

Classical spin-liquids are paramagnetic phases which feature nontrivial patterns of spin correlations within their ground-state manifold whose degeneracy scales with system size. Often they harbor fractionalized excitations, and their…

强关联电子 · 物理学 2024-11-26 Daniel Lozano-Gómez , Yasir Iqbal , Matthias Vojta

We describe a coupled-chain construction for chiral spin liquids in two-dimensional spin systems. Starting from a one-dimensional zigzag spin chain and imposing SU(2) symmetry in the framework of non-Abelian bosonization, we first show that…

强关联电子 · 物理学 2015-06-24 Gregory Gorohovsky , Rodrigo G. Pereira , Eran Sela

We study the S=1/2 Heisenberg antiferromagnet on the pyrochlore lattice in the limit of strong easy-axis exchange anisotropy. We find, using only standard techniques of degenerate perturbation theory, that the model has a U(1) gauge…

强关联电子 · 物理学 2007-05-23 Michael Hermele , Matthew P. A. Fisher , Leon Balents
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