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We study low temperature properties of an atomic spinless interacting Fermi gas in the trimerized Kagom\'e lattice for the case of two fermions per trimer. The system is described by a quantum spin 1/2 model on the triangular lattice with…

Other Condensed Matter · Physics 2009-11-10 B. Damski , H. -U. Everts , A. Honecker , H. Fehrmann , L. Santos , M. Lewenstein

Quantum spin liquids (QSLs) form an extremely unusual magnetic state in which the spins are highly correlated and fluctuate coherently down to the lowest temperatures, but without symmetry breaking and without the formation of any static…

Quantum spin liquids (QSL) have generated considerable excitement as phases of matter with emergent gauge structures and fractionalized excitations. In this context, phase transitions out of QSLs have been widely discussed as Higgs…

Strongly Correlated Electrons · Physics 2021-09-15 Hyeok-Jun Yang , Nic Shannon , 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…

Strongly Correlated Electrons · Physics 2012-06-06 Laura Messio , Bernard Bernu , Claire Lhuillier

Recently, thermal Hall effect has been observed in the paramagnetic state of Volborthite, which consists of distorted Kagome layers with $S=1/2$ local moments. Despite the appearance of a magnetic order below $1 \, \mathrm{K}$, the response…

Strongly Correlated Electrons · Physics 2017-10-18 Li Ern Chern , Robert Schaffer , Sopheak Sorn , Yong Baek Kim

Recent experiments on the dipolar-octupolar pyrochlore compound Ce$_2$Zr$_2$O$_7$ indicate that it may realize a three-dimensional quantum spin liquid (QSL). In particular, the analyses of available data suggest that the system is in a…

Strongly Correlated Electrons · Physics 2022-06-30 Félix Desrochers , Li Ern Chern , Yong Baek Kim

The metal-organic-framework (MOF) compound Cu$_3$(HOTP)$_2$, a.k.a. Cu$_3$(HHTP)$_2$, is a small-gap semiconductor containing a kagome lattice of antiferromagnetically coupled $S$=1/2 Cu$^\mathrm{II}$ spins with intra-layer nearest-neighbor…

Strongly Correlated Electrons · Physics 2024-11-28 F. L. Pratt , D. Lopez-Alcala , V. Garcia-Lopez , M. Clemente-Leon , J. J. Baldovi , E. Coronado

We argue that a relatively simple model containing only SU(2)-invariant chiral three-spin interactions on a Kagome lattice of S=1/2 spins can give rise to both a gapped and a gapless quantum spin liquid. Our arguments are rooted in a…

Strongly Correlated Electrons · Physics 2014-09-09 Bela Bauer , Brendan P. Keller , Michele Dolfi , Simon Trebst , Andreas W. W. Ludwig

Quantum Spin Liquids (QSLs) are phases of interacting spins that do not order even at the absolute zero temperature, making it impossible to characterize them by a local order parameter. In this article, we review the unique view provided…

Strongly Correlated Electrons · Physics 2013-02-06 Tarun Grover , Yi Zhang , Ashvin Vishwanath

Quantum spin liquids, exotic phases of matter with topological order, have been a major focus of explorations in physical science for the past several decades. Such phases feature long-range quantum entanglement that can potentially be…

A spinel related oxide, Na4Ir3O8, was found to have a three dimensional network of corner shared Ir4+ (t2g^5) triangles. This gives rise to an antiferromagnetically coupled S = 1/2 spin system formed on a geometrically frustrated…

Strongly Correlated Electrons · Physics 2009-11-13 Yoshihiko Okamoto , Minoru Nohara , Hiroko Aruga-Katori , Hidenori Takagi

The nature of quantum spin liquids is studied for the spin-$1/2$ antiferromagnetic Heisenberg model on a square lattice containing exchange interactions between nearest-neighbor sites, $J_1$, and those between next-nearest-neighbor sites,…

Strongly Correlated Electrons · Physics 2015-02-02 Satoshi Morita , Ryui Kaneko , Masatoshi Imada

Pursuing fractionalized particles that do not bear properties of conventional measurable objects, exemplified by bare particles in the vacuum such as electrons and elementary excitations such as magnons, is a challenge in physics. Here we…

Strongly Correlated Electrons · Physics 2021-08-17 Yusuke Nomura , Masatoshi Imada

A three-dimensional system of interacting spins typically develops static long-range order when it is cooled. If the spins are quantum (S = 1/2), however, novel quantum paramagnetic states may appear. The most highly sought state among them…

Strongly Correlated Electrons · Physics 2015-05-13 S. -H. Lee , H. Kikuchi , Y. Qiu , B. Lake , Q. Huang , K. Habicht , K. Kiefer

We have grown single crystals of PrMgAl$_{11}$O$_{19}$, an ideal triangular-lattice antiferromagnet, and performed magnetic susceptibility, specific heat and thermal conductivity measurements at low temperatures. The main results are as…

Strongly Correlated Electrons · Physics 2024-11-25 N. Li , A. Rutherford , Y. Y. Wang , H. Liang , Q. J. Li , Z. J. Zhang , H. Wang , W. Xie , H. D. Zhou , X. F. Sun

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

Quantum spin liquids are exotic phases of matter whose low-energy physics is described as the deconfined phase of an emergent gauge theory. With recent theory proposals and an experiment showing preliminary signs of $\mathbb{Z}_2$…

Quantum Gases · Physics 2025-04-14 Jeet Shah , Gautam Nambiar , Alexey V. Gorshkov , Victor Galitski

Quantum spin liquids are a new class of magnetic ground state in which spins are quantum mechanically entangled over macroscopic scales. Motivated by recent advances in the control of polar molecules, we show that dipolar interactions…

Strongly Correlated Electrons · Physics 2018-04-23 Norman Y. Yao , Michael P. Zaletel , Dan M. Stamper-Kurn , Ashvin Vishwanath

The spin ice materials, including Ho2Ti2O7 and Dy2Ti2O7, are rare earth pyrochlore magnets which, at low temperatures, enter a constrained paramagnetic state with an emergent gauge freedom. Remarkably, the spin ices provide one of very few…

Strongly Correlated Electrons · Physics 2014-07-29 Michel J. P. Gingras , Paul A. McClarty

In this paper, we study the non-magnetic insulator state near Mott transition of 2D pi-flux Hubbard model on square lattice and find that such non-magnetic insulator state is quantum spin liquid state with nodal fermionic excitations -…

Strongly Correlated Electrons · Physics 2015-03-13 Su-Peng Kou , Lan-Feng Liu , Jing He , Ya-Jie Wu
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