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We present a pedagogical overview of recent theoretical work on unconventional quantum phases and quantum phase transitions in condensed matter systems. Strong correlations between electrons can lead to a breakdown of two traditional…

Strongly Correlated Electrons · Physics 2009-11-11 Fabien Alet , Aleksandra M. Walczak , Matthew P. A. Fisher

Spin liquid is a state of electron spins in which quantum fluctuation breaks magnetic ordering while maintaining spin correlation. It has been a central topic in magnetism because of its relevance to high-Tc superconductivity and…

Strongly Correlated Electrons · Physics 2016-09-28 Daichi Hirobe , Masahiro Sato , Takayuki Kawamata , Yuki Shiomi , Ken-ichi Uchida , Ryo Iguchi , Yoji Koike , Sadamichi Maekawa , Eiji Saitoh

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

The interplay of electronic interactions and frustration in crystalline systems leads to a panoply of correlated phases, including exotic Mott insulators with non-trivial patterns of entanglement. Disorder introduces additional quantum…

Strongly Correlated Electrons · Physics 2025-01-03 Sunghoon Kim , Mohammad Saad , Dan Mao , Adhip Agarwala , Debanjan Chowdhury

A quantum spin liquid (QSL) is a state of matter where unpaired electrons' spins in a solid are quantum entangled, but do not show magnetic order in the zero-temperature limit. Because such a state may be important to the microscopic origin…

Quantum spin liquids are long-range entangled states of matter with emergent gauge fields and fractionalized excitations. While candidate materials, such as the Kitaev honeycomb ruthenate $\alpha$-RuCl$_3$, show magnetic order at low…

Strongly Correlated Electrons · Physics 2019-07-16 I. Rousochatzakis , S. Kourtis , J. Knolle , R. Moessner , N. B. Perkins

Quantum spin liquid is an exotic quantum state of matter in magnets. This state is a spin analogue of the liquid helium which does not solidify down to the lowest temperature due to strong quantum fluctuations. In conventional fluids,…

Strongly Correlated Electrons · Physics 2015-06-22 Joji Nasu , Masafumi Udagawa , Yukitoshi Motome

The search for quantum spin liquids (QSL) -- topological magnets with fractionalized excitations -- has been a central theme in condensed matter and materials physics. While theories are no longer in short supply, tracking down materials…

Strongly Correlated Electrons · Physics 2022-05-11 Anish Bhardwaj , Shu Zhang , Han Yan , Roderich Moessner , Andriy H. Nevidomskyy , Hitesh J. Changlani

Currently under active study in condensed matter physics, both theoretically and experimentally, are quantum spin liquid (QSL) states, in which no long-range magnetic ordering appears at low temperatures due to strong quantum fluctuations…

Strongly Correlated Electrons · Physics 2019-07-04 Ruidan Zhong , Shu Guo , Guangyong Xu , Zhijun Xu , Robert J. Cava

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

In a quantum spin liquid, the magnetic moments of the constituent electron spins evade classical long-range order to form an exotic state that is quantum entangled and coherent over macroscopic length scales [1-2]. Such phases offer…

Purely quantum electron systems exhibit intriguing correlated electronic phases by virtue of quantum fluctuations in addition to electron-electron interactions. To realize such quantum electron systems, a key ingredient is dense electrons…

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

The emergence of a quantum spin liquid (QSL), a state of matter that can result when electron spins are highly correlated but do not become ordered, has been the subject of a considerable body of research in condensed matter physics. Spin…

The search of quantum spin liquid (QSL), an exotic magnetic state with strongly-fluctuating and highly-entangled spins down to zero temperature, is a main theme in current condensed matter physics. However, there is no smoking-gun evidence…

Strongly Correlated Electrons · Physics 2023-10-27 Z. H. Zhu , B. L. Pan , L. P. Nie , J. M. Ni , Y. X. Yang , C. S. Chen , Y. Y. Huang , E. J. Cheng , Y. J. Yu , A. D. Hillier , X. H. Chen , T. Wu , Y. Zhou , S. Y. Li , L. Shu

Quantum spin liquid (QSL) is an exotic quantum phase of matter whose ground state is quantum-mechanically entangled without any magnetic ordering. A central issue concerns emergent excitations that characterize QSLs, which are…

Strongly Correlated Electrons · Physics 2018-05-08 Y. Tokiwa , T. Yamashita , D. Terazawa , K. Kimura , Y. Kasahara , T. Onishi , Y. Kato , M. Halim , P. Gegenwart , T. Shibauchi , S. Nakatsuji , E. -G. Moon , Y. Matsuda

The Coulombic quantum spin liquid in quantum spin ice is an exotic quantum phase of matter that emerges on the pyrochlore lattice and is currently actively searched for. Motivated by recent experiments on the Yb-based breathing pyrochlore…

Strongly Correlated Electrons · Physics 2016-08-23 Lucile Savary , Xiaoqun Wang , Hae-Young Kee , Yong Baek Kim , Yue Yu , Gang Chen

Quantum spin liquids (QSLs) represent a novel state of matter in which quantum fluctuations prevent conventional magnetic order from being established, and the spins remain disordered even at zero temperature. There have been many…

Strongly Correlated Electrons · Physics 2018-10-11 Zhen Ma , Kejing Ran , Jinghui Wang , Song Bao , Zhengwei Cai , Shichao Li , Jinsheng Wen

Quantum spin liquids are exotic phases of matter that are prevented from being frozen even at zero temperature, and appear disordered by local probes that monitor the subsystems. Driven by quantum fluctuations, topological spin liquids are…

Quantum Physics · Physics 2021-11-18 H. R. Kong , J. Taylor , Y. Dong , K. S. Choi

Fractionalized excitations develop in many unusual many-body states such as quantum spin liquids, disordered phases that cannot be described using any local order parameter. Because these exotic excitations correspond to emergent degrees of…

Strongly Correlated Electrons · Physics 2020-06-17 Wen-Jun Hu , Yi Zhang , Andriy H. Nevidomskyy , Elbio Dagotto , Qimiao Si , Hsin-Hua Lai