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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…

Strongly Correlated Electrons · Physics 2023-08-09 Poetri Sonya Tarabunga , Giuliano Giudici , Titas Chanda , Marcello Dalmonte

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…

Strongly Correlated Electrons · Physics 2023-10-20 Aishwarya Chauhan , Atanu Maity , Chunxiao Liu , Jonas Sonnenschein , Francesco Ferrari , Yasir Iqbal

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…

Strongly Correlated Electrons · Physics 2024-09-05 Ming-Hao Li , Sounak Biswas , S. A. Parameswaran

Geometrical frustration in quantum magnets provides a fertile setting for unconventional phases of matter, including quantum spin liquids (QSLs). The trellis lattice, with its complex site arrangements and edge-sharing triangular motifs,…

We present a multimethod investigation into the nature of the recently reported quantum spin liquid (QSL) phase in the spin-$1/2$ Heisenberg antiferromagnet on the Shastry-Sutherland lattice. A comprehensive projective symmetry group…

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 $\mathbb{Z}_2$…

Strongly Correlated Electrons · Physics 2016-03-31 Samuel Bieri , Claire Lhuillier , Laura Messio

Rydberg atom arrays have recently been conjectured to host $Z_2$ quantum spin liquids (QSLs) in certain parameter regimes. Due to the strong interactions between these atoms, it is not possible to analytically study these systems, and one…

Strongly Correlated Electrons · Physics 2025-03-18 Pranay Patil , Owen Benton

While many-body systems can host long-ranged entangled quantum spin liquids (QSLs), the ingredients for realizing these as ground states can be prohibitively difficult. In many circumstances, one requires (i) a constrained Hilbert space and…

Strongly Correlated Electrons · Physics 2023-02-14 Rahul Sahay , Ashvin Vishwanath , Ruben Verresen

We perform extensive classifications of $\mathbb{Z}_2$ quantum spin liquids on the simple cubic, body centered cubic, and face centered cubic lattices using a spin-rotation invariant fermionic projective symmetry group approach. Taking into…

Strongly Correlated Electrons · Physics 2020-09-24 Jonas Sonnenschein , Aishwarya Chauhan , Yasir Iqbal , Johannes Reuther

Arrays of Rydberg atoms constitute a highly tunable, strongly interacting venue for the pursuit of exotic states of matter. We develop a new strategy for accessing a family of fractionalized phases known as quantum spin liquids in…

Strongly Correlated Electrons · Physics 2022-10-05 Kevin Slagle , Yue Liu , David Aasen , Hannes Pichler , Roger S. K. Mong , Xie Chen , Manuel Endres , Jason Alicea

Dual-species arrays of ultracold neutral atoms have recently attracted increased interest due to the ability to independently control different atomic species and tune the interatomic interactions. This capability provides additional…

Quantum Physics · Physics 2026-05-06 Ahmed M. Farouk , Ilya I. Beterov , Ghadeer Suliman , Junxi Chen , Igor I. Ryabtsev

The ruby lattice has been the subject of much interest recently due its realization in Rydberg atom arrays, where its rich variety of frustrated interactions gives rise to topologically ordered quantum spin liquids. Similarly, numerical…

Strongly Correlated Electrons · Physics 2024-09-26 Atanu Maity , Rhine Samajdar , Yasir Iqbal

Strongly interacting arrays of Rydberg atoms provide versatile platforms for exploring exotic many-body phases and dynamics of correlated quantum systems. Motivated by recent experimental advances, we show that the combination of Rydberg…

Quantum Gases · Physics 2023-01-25 Rhine Samajdar , Darshan G. Joshi , Yanting Teng , Subir Sachdev

Quantum spin liquids (QSLs) are long-range entangled phases of frustrated magnets exhibiting fractionalized spin excitations. In two dimensions, there is limited analytical understanding of their excitation spectra beyond parton mean-field…

Strongly Correlated Electrons · Physics 2025-08-01 Josef Willsher , Johannes Knolle

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…

Strongly Correlated Electrons · Physics 2024-07-12 Jonas Sonnenschein , Atanu Maity , Chunxiao Liu , Ronny Thomale , Francesco Ferrari , Yasir Iqbal

We report that a possible Z2 quantum spin liquid (QSL) can be observed in a new class of frustrated system: spinor bosons subject to a pi flux in a square lattice. We construct a new class of Ginsburg-Landau (GL) type of effective action to…

Strongly Correlated Electrons · Physics 2020-05-12 Fadi Sun , Jinwu Ye

Classical spin liquids (CSLs) are intriguing states of matter that do not exhibit long-range magnetic order and are characterized by an extensive ground-state degeneracy. Adding quantum fluctuations, which induce dynamics between these…

Strongly Correlated Electrons · Physics 2025-02-12 Duyu Chen , Rhine Samajdar , Yang Jiao , Salvatore Torquato

The nontrivialness of quantum spin liquid (QSL) typically manifests in the non-local observables that signifies their existence, however, this fact actually casts shadow on detecting QSL with experimentally accessible probes. Here, we…

Strongly Correlated Electrons · Physics 2018-08-22 Guang Yu Sun , Yan-Cheng Wang , Chen Fang , Yang Qi , Meng Cheng , Zi Yang Meng

Quantum spin liquids are elusive long-range entangled states. Motivated by experiments in Rydberg quantum simulators, recent excitement has centered on the possibility of dynamically preparing a state with quantum spin liquid correlation…

Quantum Physics · Physics 2025-12-11 DinhDuy Vu , Dominik S. Kufel , Jack Kemp , Lode Pollet , Chris R. Laumann , Norman Y. Yao

It has been suggested that the nearest-neighbour (NN) antiferromagnetic Heisenberg (HAF) model on the Kagome lattice may be a good starting point to understand the quantum spin-liquid (QSL) behaviour discovered in Herbertsmithite. We…

Strongly Correlated Electrons · Physics 2014-01-16 Tyler Dodds , Subhro Bhattacharjee , Yong Baek Kim
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