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Quantum spin liquids represent exotic states of spin systems characterized by long-range entanglement and emergent fractionalized quasiparticles. It is generally believed that disorder is hostile to quantum spin liquids. In our study, we…

Strongly Correlated Electrons · Physics 2024-08-30 Aini Xu , Qinxin Shen , Bo Liu , Zhenyuan Zeng , Lankun Han , Liqin Yan , Jun Luo , Jie Yang , Rui Zhou , Shiliang Li

Pyrochlore magnets have proven to provide an excellent arena for the realization of a variety of many-body phenomena such as classical and quantum order-by-disorder, as well as spin liquid phases described by emergent gauge field theories.…

Strongly Correlated Electrons · Physics 2025-02-21 Niccolò Francini , Lukas Janssen , Daniel Lozano-Gómez

Magnetic and electronic states of an Ising-spin Kondo lattice model on a kagome lattice are investigated by a Monte Carlo simulation. In addition to the conventional ferromagnetic and ferrimagnetic orders, we show that this model exhibits…

Strongly Correlated Electrons · Physics 2015-02-18 Hiroaki Ishizuka , Yukitoshi Motome

Search for a new quantum state of matter emerging in a crystal is one of recent trends in condensed matter physics. For magnetic materials, geometrical frustration and high magnetic field are two key ingredients to realize it: a…

Strongly Correlated Electrons · Physics 2019-03-19 R. Okuma , D. Nakamura , T. Okubo , A. Miyake , A. Matsuo , K. Kindo , M. Tokunaga , N. Kawashima , S. Takeyama , Z. Hiroi

An emergent $\mathrm{SU}(4)$ symmetry discovered in the microscopic model for $d^1$ honeycomb materials [M.~G.~Yamada, M.~Oshikawa, and G.~Jackeli, Phys. Rev. Lett. \textbf{121}, 097201 (2018).] has enabled us to tailor exotic…

Strongly Correlated Electrons · Physics 2022-01-03 Masahiko G. Yamada , Masaki Oshikawa , George Jackeli

The interplay between lattice topology, frustration, and spin quantum number, $s$, is explored for the Heisenberg antiferromagnet (HAFM) on the eleven two-dimensional Archimedean lattices (square, honeycomb, CaVO, SHD, SrCuBO, triangle,…

Strongly Correlated Electrons · Physics 2019-03-20 D. J. J. Farnell , O. Götze , J. Schulenburg , R. Zinke , R. F. Bishop , P. H. Y. Li

A spin liquid is a novel quantum state of matter with no conventional order parameter where a finite charge gap exists even though the band theory would predict metallic behavior. Finding a stable spin liquid in two or higher spatial…

Strongly Correlated Electrons · Physics 2012-12-20 Sandro Sorella , Yuichi Otsuka , Seiji Yunoki

A spin liquid is a new state of matter with topological order where the spin moments continue to fluctuate coherently down to the lowest temperatures rather than develop static long-range magnetic order as found in conventional magnets. For…

The spin-1/2 Cu2+ ions in beta-Cu3V2O8 occupy the sites of a Kagome-staircase lattice, an anisotropic variant of the Kagome net: buckled layers and imbedded plaquettes of three edge-shared CuO4 squares break the ideal Kagome symmetry.…

Condensed Matter · Physics 2012-08-16 N. Rogado , M. K. Haas , G. Lawes , D. A. Huse , A. P. Ramirez , R. J. Cava

Na$_4$Ir$_3$O$_8$ provides a material platform to study three-dimensional quantum spin liquids in the geometrically frustrated hyperkagome lattice of Ir$^{4+}$ ions. In this work, we consider quantum spin liquids on hyperkagome lattice for…

Strongly Correlated Electrons · Physics 2017-02-03 Biao Huang , Yong Baek Kim , Yuan-Ming Lu

Special arrangements of atoms with more than one atom per unit cell, including honeycomb or kagome (woven bamboo mat) lattices, can host propagating excitations with non-trivial topology as defined by their evolution along closed paths in…

The Kitaev-Heisenberg model on the honeycomb lattice has been studied for the purpose of finding exotic states such as quantum spin liquid and topological orders. On the kagome lattice, in spite of a spin-liquid ground state in the…

Strongly Correlated Electrons · Physics 2018-10-31 Katsuhiro Morita , Masanori Kishimoto , Takami Tohyama

The search for two dimensional quantum spin liquids, exotic magnetic states with an entangled ground state remaining disordered down to zero temperature, has been a great challenge in frustrated magnetism during the last decades. Recently,…

Strongly Correlated Electrons · Physics 2018-10-15 E. Lhotel , S. Petit , M. Ciomaga Hatnean , J. Ollivier , H. Mutka , E. Ressouche , M. R. Lees , G. Balakrishnan

With strong geometric frustration and quantum fluctuations, S=1/2 quantum Heisenberg antiferromagnets on the Kagome lattice has long been considered as an ideal platform to realize spin liquid (SL), a novel phase with no symmetry breaking…

Strongly Correlated Electrons · Physics 2015-03-19 Yuan-Ming Lu , Ying Ran , Patrick A. Lee

We report the thermodynamic and muon spin relaxation ($\mu$SR) evidences for a possible gapless spin liquid in Tm$_{3}$Sb$_{3}$Zn$_{2}$O$_{14}$, with the rare-earth ions Tm$^{3+}$ forming a two-dimensional kagom\'{e} lattice. We extract the…

Strongly Correlated Electrons · Physics 2018-11-09 Zhaofeng Ding , Yanxing Yang , Jian Zhang , Cheng Tan , Zihao Zhu , Gang Chen , Lei Shu

Topological quantum materials with kagome lattice have become the emerging frontier in the context of condensedmatter physics. Kagome lattice harbors strongmagnetic frustration and topological electronic states generatedby the unique…

Superconductivity · Physics 2025-07-04 Qi Wang , Hechang Lei , Yanpeng Qi , Claudia Felser

Spin ice, a peculiar thermal state of a frustrated ferromagnet on the pyrochlore lattice, has a finite entropy density and excitations carrying magnetic charge. By combining analytical arguments and Monte Carlo simulations, we show that…

Strongly Correlated Electrons · Physics 2011-05-24 Gia-Wei Chern , Paula Mellado , O. Tchernyshyov

We have studied the magnetic properties of clinoatacamite Cu$_2$Cl(OH)$_3$, the parent compound of the quantum spin liquid candidate herbertsmithite and a longstanding puzzle among frustrated quantum magnets. As we reveal using…

We address the problem of a lightly doped spin-liquid through a large-scale density-matrix renormalization group (DMRG) study of the $t$-$J$ model on a Kagome lattice with a small but non-zero concentration, $\delta$, of doped holes. It is…

Strongly Correlated Electrons · Physics 2017-08-16 Hong-Chen Jiang , T. Devereaux , S. A. Kivelson

The kagome lattice, with its unique geometric structure, has emerged as a leading platform for exploring quantum many-body physics, particularly in the study of quantum spin liquids (QSLs) and unconventional superconductivity. This review…

Strongly Correlated Electrons · Physics 2025-12-19 Li-Wei He , Shun-Li Yu , Jian-Xin Li