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The quantum spin liquid (QSL) state has been searched intensively in Kitaev-like materials, such as the Iridium oxides $A_2$IrO$_3$ and $\alpha$-RuCl$_3$. The half-filled Kitaev-Hubbard model with bond dependent hopping terms is used to…

Strongly Correlated Electrons · Physics 2022-10-06 Shaojun Dong , Hao Zhang , Chao Wang , Meng Zhang , Yong-Jian Han , Lixin He

Gapless fracton quantum spin liquids are exotic phases of matter described by higher-rank U(1) gauge theories which host gapped and immobile fracton matter excitations as well as gapless photons. Despite well-known field theories, no spin…

Strongly Correlated Electrons · Physics 2025-08-12 Nils Niggemann , Meghadeepa Adhikary , Yannik Schaden-Thillmann , Johannes Reuther

Quantum spin liquids (QSLs) are exotic states of matter characterized by emergent gauge structures and fractionalized elementary excitations. The recently discovered triangular lattice antiferromagnet YbMgGaO$_4$ is a promising QSL…

Strongly Correlated Electrons · Physics 2019-09-04 Yao Shen , Yao-Dong Li , H. C. Walker , P. Steffens , M. Boehm , Xiaowen Zhang , Shoudong Shen , Hongliang Wo , Gang Chen , Jun Zhao

The behavior of the paradigmatic $J_1-J_2$ triangular lattice Heisenberg antiferromagnet in a magnetic field remains unsettled despite decades of study. We map out the phase diagram using three complementary approaches, including…

Strongly Correlated Electrons · Physics 2025-12-10 Thomas Bader , Shi Feng , Sasank Budaraju , Federico Becca , Johannes Knolle , Frank Pollmann

Using modified spin wave (MSW) method, we study the $J_1-J_2$ Heisenberg model with first and second neighbor antiferromagnetic exchange interactions. For symmetric $S=1/2$ model, with the same couplings for all the equivalent neighbors, we…

Strongly Correlated Electrons · Physics 2016-08-24 Elaheh Ghorbani , Farhad Shahbazi , Hamid Mosadeq

Recent studies have revealed that the randomness-induced quantum spin liquid (QSL)-like state is stabilized in certain frustrated quantum magnets in two and three dimensions. In order to clarify the nature of this gapless QSL-like state, we…

Strongly Correlated Electrons · Physics 2021-11-24 Kazuki Uematsu , Toshiya Hikihara , Hikaru Kawamura

Quantum spin liquids (QSLs) are exotic phases of matter characterized by long-range entanglement and the absence of magnetic order even at zero temperature. Here, we present a comprehensive theoretical study of the frustrated magnet…

Strongly Correlated Electrons · Physics 2026-03-20 Yanpeng Zhou , Gang Li

A quantum spin liquid (QSL) would be an exotic stage for superconductivity. A promising candidate for a doped QSL is the organic triangular-lattice system, kappa-(BEDT-TTF)4Hg2:89Br8, which hosts a non-Fermi liquid and magnetism of a QSL…

Superconductivity · Physics 2022-06-16 K. Wakamatsu , Y. Ueno , K. Miyagawa , H. Taniguchi , K. Kanoda

The Kitaev model, whose ground state is a quantum spin liquid (QSL), was originally conceived for spin $S=1/2$ moments on a honeycomb lattice. In recent years, the model has been extended to higher $S$ from both theoretical and experimental…

Strongly Correlated Electrons · Physics 2022-11-30 Kiyu Fukui , Yasuyuki Kato , Joji Nasu , Yukitoshi Motome

Strongly enhanced quantum fluctuations often lead to a rich variety of quantum-disordered states. A representative case is liquid helium, in which zero-point vibrations of the helium atoms prevent its solidification at low temperatures. A…

Strongly Correlated Electrons · Physics 2018-02-07 M. Shimozawa , K. Hashimoto , A. Ueda , Y. Suzuki , K. Sugii , S. Yamada , Y. Imai , R. Kobayashi , K. Itoh , S. Iguchi , M. Naka , S. Ishihara , H. Mori , T. Sasaki , M. Yamashita

Frustration in quantum spin systems promote a variety of novel quantum phases. An important example is the frustrated spin-$1$ model on the square lattice with the nearest-neighbor bilinear ($J_1$) and biquadratic ($K_1$) interactions. We…

Strongly Correlated Electrons · Physics 2019-11-06 Wen-Jun Hu , Shou-Shu Gong , Hsin-Hua Lai , Haoyu Hu , Qimiao Si , Andriy H. Nevidomskyy

We study the quantum phase diagram of the spin-$1/2$ Heisenberg model on the kagom\'e lattice with first-, second-, and third-neighbor interactions $J_1$, $J_2$, and $J_3$ by means of density matrix renormalization group. For small $J_2$…

Strongly Correlated Electrons · Physics 2015-04-23 Shou-Shu Gong , Wei Zhu , Leon Balents , D. N. Sheng

A quantum spin liquid (QSL) is an exotic state in which electron spins are highly entangled, yet keep fluctuating even at zero temperature. Experimental realization of model QSLs has been challenging due to imperfections, such as antisite…

Strongly Correlated Electrons · Physics 2022-10-25 Huanpeng Bu , Malik Ashtar , Toni Shiroka , Helen C. Walker , Zhendong Fu , Jinkui Zhao , Jason S. Gardner , Gang Chen , Zhaoming Tian , Hanjie Guo

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,…

Rare-earth delafossites were recently proposed as promising candidates for the realization of an effective $S$=1/2 quantum spin liquid (QSL) on the triangular lattice. In contrast to the most actively studied triangular-lattice…

Strongly Correlated Electrons · Physics 2020-01-08 R. Sarkar , Ph. Schlender , V. Grinenko , E. Haeussler , Peter J. Baker , Th. Doert , H. -H. Klauss

We study the phase diagram of the isotropic $J_{1}$--$J_{1}'$--$J_{2}$ Heisenberg model for spin-1 particles on an anisotropic square lattice, using the coupled cluster method. We find no evidence for an intermediate phase between the…

Strongly Correlated Electrons · Physics 2010-05-07 R. F. Bishop , P. H. Y. Li , R. Darradi , J. Richter

We use QMC simulations to study effects of disorder on the $S=1/2$ Heisenberg model with exchange constant $J$ on the square lattice supplemented by multispin interactions $Q$. It was found recently [L. Lu et al., Phys. Rev. X 8, 041040…

Strongly Correlated Electrons · Physics 2020-09-09 Lu Liu , Wenan Guo , Anders W. Sandvik

$\alpha$-RuCl$_3$ is a leading candidate material for theobservation of physics related to the Kitaev quantum spin liquid (QSL). By combined susceptibility, specific-heat, and nuclear-magnetic-resonance measurements, we demonstrate that…

Strongly Correlated Electrons · Physics 2017-12-12 Jiacheng Zheng , Kejing Ran , Tianrun Li , Jinghui Wang , Pengshuai Wang , Bin Liu , Zhengxin Liu , B. Normand , Jinsheng Wen , Weiqiang Yu

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

Although magnetically ordered at low temperatures, the spin-1/2 triangular antiferromagnet Cs_2CuCl_4 exhibits remarkable spin dynamics that strongly suggest proximity to a spin liquid phase. Here we address the question of whether a…

Strongly Correlated Electrons · Physics 2013-05-29 Jason Alicea , Matthew P. A. Fisher
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