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Quantum spin liquids (QSLs) are highly entangled, disordered magnetic states that arise in frustrated Mott insulators and host exotic fractional excitations such as spinons and chargons. Despite being charge insulators some QSLs are…

Unique features of non-magnetic insulator phase are shown, and phase diagram for t-t' Hubbard model on square lattice is presented. Using the path-integral renormalization group method, we find antiferromagnetic phase for small next-nearest…

Strongly Correlated Electrons · Physics 2007-05-23 Takahiro Mizusaki , Masatoshi Imada

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

Quantum spin liquids (QSLs) are exotic phases with intrinsic massive entanglements. Instead of microscopic spins, fractionalized particles and gauge fluctuations are emergent, revealing QSLs' exotic natures. Quantum spins with strong…

Strongly Correlated Electrons · Physics 2019-01-16 Sangjin Lee , Eun-Gook Moon

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

Experimental quest for the hypothetical "quantum spin liquid" state has recently met a few promising candidate materials including organic salts \kappa-(ET)2Cu2(CN)3 and EtMe3Sb[Pd(dmit)2]2, S=1/2 triangular-lattice Heisenberg…

Strongly Correlated Electrons · Physics 2015-06-17 Ken Watanabe , Hikaru Kawamura , Hiroki Nakano , Toru Sakai

In the past decades, tremendous efforts have been made towards understanding the exotic physics emerging from competition between various ordering tendencies in strongly correlated systems. Employing state-of-the-art quantum Monte-Carlo…

Strongly Correlated Electrons · Physics 2024-03-19 Xue-Jia Yu , Shao-Hang Shi , Limei Xu , Zi-Xiang Li

Emergent gauge fields and Coulomb liquids have long been central to the physics of frustrated pyrochlore magnets, yet their realization beyond conventional, i.e. rank-1 $U(1)$, spin ice and into fully quantum higher-rank regimes has…

Strongly Correlated Electrons · Physics 2026-02-18 Lasse Gresista , Daniel Lozano-Gómez , Matthias Vojta , Simon Trebst , Yasir Iqbal

The kagome Heisenberg antiferromagnet formed by frustrated spins arranged in a lattice of corner-sharing triangles is a prime candidate for hosting a quantum spin liquid (QSL) ground state consisting of entangled spin singlets. But the…

Strongly Correlated Electrons · Physics 2022-03-09 Jiaming Wang , Weishi Yuan , Philip M. Singer , Rebecca W. Smaha , Wei He , Jiajia Wen , Young S. Lee , Takashi Imai

Topological superfluids are of technological relevance since they are believed to host Majorana bound states, a powerful resource for quantum computation and memory. Here we propose to realize topological superfluidity with fermionic atoms…

Quantum Gases · Physics 2017-10-10 L. Isaev , A. Kaufman , G. Ortiz , A. M. Rey

The SU(4) Heisenberg model can serve as a low energy model of the Mott insulating state in materials where the spins and orbitals are highly symmetric, or in systems of alkaline-earth atoms on optical lattice. Recently, it has been argued…

Strongly Correlated Electrons · Physics 2013-06-28 Miklos Lajko , Karlo Penc

We investigate the emergence of bond-directional spin-spin interactions in a synthetic Fermi-Hubbard bilayer that can be realized with ultracold fermions in Raman optical lattices. The model exploits synthetic dimensions to couple two…

Quantum Gases · Physics 2025-11-19 Daniel González-Cuadra , Alejandro Bermudez

An emergent Fermi surface in a Mott insulator, an exotic quantum spin liquid state, was suggested by Anderson in 1987. After a quick support for its existence in spin-half Heisenberg model in a square lattice in a RVB mean field theory,…

Strongly Correlated Electrons · Physics 2009-08-20 G. Baskaran , G. Santhosh , R. Shankar

We analyze optical conductivity with the goal to demonstrate experimental manifestation of a new state of matter, the so-called fermion condensate. Fermion condensates are realized in quantum spin liquids, exhibiting typical behavior of…

Strongly Correlated Electrons · Physics 2018-06-20 V. R. Shaginyan , A. Z. Msezane , V. A. Stephanovich , K. G. Popov , G. S. Japaridze

Engineered spin-orbit coupling (SOC) in cold atom systems can aid in the study of novel synthetic materials and complex condensed matter phenomena. Despite great advances, alkali atom SOC systems are hindered by heating from spontaneous…

Quantum Gases · Physics 2017-03-08 S. Kolkowitz , S. L. Bromley , T. Bothwell , M. L. Wall , G. E. Marti , A. P. Koller , X. Zhang , A. M. Rey , J. Ye

Magnetic impurities embedded in inert solids can exhibit long coherence times and interact with one another via their intrinsic anisotropic dipolar interaction. We argue that, as a consequence of these properties, disordered ensembles of…

A quantum spin liquid is an exotic quantum state of matter in which spins are highly entangled and remain disordered down to zero temperature. Such a state of matter is potentially relevant to high-temperature superconductivity and…

Liquid He-4 is free from magnetic defects, making it an ideal substrate for electrons with long-lived spin states. Such states can serve as qubit states. Here we consider the spin states of electrons electrostatically localized in quantum…

Mesoscale and Nanoscale Physics · Physics 2023-02-08 M. I. Dykman , Ofek Asban , Qianfan Chen , Dafei Jin , S. A. Lyon

We examine the effects of quantum fluctuations on a classical spin liquid state in the fully-frustrated honeycomb lattice Bose Hubbard model using quantum Monte Carlo simulations. Frustration is induced explicitly in the model by modulating…

Strongly Correlated Electrons · Physics 2011-05-24 Stephen Inglis , Roger G. Melko

One main theme in current condensed matter physics is the search of quantum spin liquid (QSL), an exotic magnetic state with strongly-fluctuating and highly-entangled spins down to zero temperature without static order. However, there is no…

Strongly Correlated Electrons · Physics 2023-01-10 Chengpeng Tu , Dongzhe Dai , Xu Zhang , Chengcheng Zhao , Xiaobo Jin , Bin Gao , Tong Chen , Pengcheng Dai , Shiyan Li