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The quantum spin liquid (QSL) is a highly entangled magnetic state characterized by the absence of static magnetism in its ground state. Instead, the spins fluctuate in a highly correlated way down to the lowest temperatures. The QSL is…

Spiral spin liquids are unique classical spin liquids that occur in many frustrated spin systems, but do not comprise a new phase of matter. Owing to extensive classical ground-state degeneracy, the spins in a spiral spin liquid thermally…

Strongly Correlated Electrons · Physics 2021-06-01 Xu-Ping Yao , Jian Qiao Liu , Chun-Jiong Huang , Xiaoqun Wang , Gang Chen

In this Chapter, we give a brief review of the state of the art of theoretical and experimental studies of quantum fluids of light. Such systems consist of ensembles of photons that acquire a finite mass from spatial confinement or…

Quantum Physics · Physics 2022-11-22 Iacopo Carusotto

Quantum spin liquids represent a magnetic ground state arising in the presence of strong quantum fluctuations that preclude ordering down to zero temperature and leave clear fingerprints in the excitation spectra. While theory bears a…

The quantum spin liquid (QSL) is an exotic phase of magnetic materials where the spins continue to fluctuate without any symmetry breaking down to zero temperature. Among the handful reports of QSL with spin $S\ge$1, examples with magnetic…

Condensed matter systems provide alternative `vacua' exhibiting emergent low-energy properties drastically different from those of the standard model. A case in point is the emergent quantum electrodynamics (QED) in the fractionalized…

Strongly Correlated Electrons · Physics 2021-09-15 Salvatore D. Pace , Siddhardh C. Morampudi , Roderich Moessner , Chris R. Laumann

Quantum fluctuations originating phase competition or geometrical frustration of spins lead to novel states such as a quantum critical point and a quantum spin liquid where the strong quantum fluctuations suppress any ordered states even at…

Strongly Correlated Electrons · Physics 2019-11-28 Y. Saito , H. Nakamura , M. Sawada , T. Yamazaki , S. Fukuoka , N. Matsunaga , K. Nomura , M. Dressel , A. Kawamoto

The Widom line identifies the locus in the phase diagram where a supercritical gas crosses over from gas-like to a more liquid-like behavior. A similar transition exists in correlated electron liquids, where the interplay of Coulomb…

Artificial spin ices are frustrated spin systems that can be engineered, wherein fine tuning of geometry and topology has allowed the design and characterization of exotic emergent phenomena at the constituent level. Here we report a…

We argue that near a Kondo breakdown critical point, a spin liquid with spatial modulations can form. Unlike its uniform counterpart, we find that this occurs via a second order phase transition. The amount of entropy quenched when ordering…

Strongly Correlated Electrons · Physics 2011-07-26 C. Pepin , M. R. Norman , S. Burdin , A. Ferraz

Numerous physical systems have been proposed for constructing quantum computers, but formidable obstacles stand in the way of making even modest systems with a few hundred quantum bits (qubits). Several approaches utilize the spin of an…

Other Condensed Matter · Physics 2007-05-23 S. A. Lyon

This article is an introductory review of the physics of quantum spin liquid (QSL) states. Quantum magnetism is a rapidly evolving field, and recent developments reveal that the ground states and low-energy physics of frustrated spin…

Strongly Correlated Electrons · Physics 2017-04-21 Yi Zhou , Kazushi Kanoda , Tai-Kai Ng

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

A quantum spin liquid (QSL) is an exotic insulating phase with emergent gauge fields and fractionalized excitations. However, the unambiguous demonstration of the existence of a QSL in a "non-engineered" microscopic model (or in any…

Strongly Correlated Electrons · Physics 2025-10-01 Xun Cai , Zhaoyu Han , Zi-Xiang Li , Steven A. Kivelson , Hong Yao

The loss of information about the relative phase between two quantum states, known as decoherence, strongly limits resolution in electron paramagnetic spectroscopy and hampers the use of molecules for quantum information processing. At low…

Quantum Physics · Physics 2025-04-28 Conor Ryan , Valerio Briganti , Cathal Hogan , Mark O'Neill , Alessandro Lunghi

We give an elementary introduction to the notion of quantum entanglement between distinguishable parties and review a recent proposal about solid state quantum computation with spin-qubits in quantum dots. The indistinguishable character of…

Condensed Matter · Physics 2007-05-23 John Schliemann , Daniel Loss

Interacting spins in quantum magnet can cooperate and exhibit exotic states like the quantum spin liquid. To explore the materialization of such intriguing states, the determination of effective spin Hamiltonian of the quantum magnet is…

Strongly Correlated Electrons · Physics 2021-09-01 Sizhuo Yu , Yuan Gao , Bin-Bin Chen , Wei Li

Quantum fluctuations are expected to lead to highly entangled spin-liquid states in certain two-dimensional spin-1/2 compounds. We have synthesized and measured thermodynamic properties and muon spin relaxation rates in the copper-based…

We theoretically investigate transport in a spin incoherent one dimensional electron system, which may be realized in quantum wires at low electron density and finite temperature. Both the pure and disordered cases are considered, both in…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Gregory A. Fiete , Karyn Le Hur , Leon Balents

Recent years have witnessed the emergence of spin supersolids in frustrated quantum magnets, establishing a material-based platform for supersolidity beyond its original context in solid helium. A spin supersolid is characterized by the…

Strongly Correlated Electrons · Physics 2026-05-26 Yixuan Huang , Seiji Yunoki , Sadamichi Maekawa