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Quantum spin liquids (QSL) are exotic phases of matter that host fractionalized excitations. It is difficult for local probes to characterize QSL, whereas quantum entanglement can serve as a powerful diagnostic tool due to its non-locality.…

强关联电子 · 物理学 2018-11-30 Wei Zhu , Xiao Chen , Yin-Chen He , William Witczak-Krempa

Quantum spin liquids are phases of matter whose internal structure is not captured by a local order parameter. Particularly intriguing are critical spin liquids, where strongly interacting excitations control low energy properties. Here we…

强关联电子 · 物理学 2011-08-05 Yi Zhang , Tarun Grover , Ashvin Vishwanath

Quantum spin liquids (QSL) are phases of matter which are distinguished not by the symmetries they break, but rather by the patterns of entanglement within them. Although these entanglement properties have been widely discussed for ground…

强关联电子 · 物理学 2026-02-10 Snigdh Sabharwal , Matthias Gohlke , Paul Skrzypczyk , Nic Shannon

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…

Quantum spin liquids (QSLs) give rise to exotic emergent particles by weaving intricate entanglement patterns in the underlying electrons. Bipartite measures between subregions can detect the presence of anyons, but little is known about…

A glance at recent research on magnetism turns up a curious set of articles discussing, or claiming evidence for, a state of matter called a quantum spin liquid (QSL). These articles are notable in their invocation of exotic notions of…

强关联电子 · 物理学 2023-10-31 T. Lancaster

A quantum spin liquid (QSL) is a novel phase of matter with long-range entanglement where localized spins are highly correlated with the vanishing of magnetic order. Such exotic quantum states provide the opportunities to develop new…

强关联电子 · 物理学 2022-09-21 Wen-Yuan Liu , Juraj Hasik , Shou-Shu Gong , Didier Poilblanc , Wei-Qiang Chen , Zheng-Cheng Gu

Many-body entanglement properties of quantum spin liquids (QSLs), persisting at arbitrarily long distances, have been intensely explored over the past two decades, but mostly for QSLs viewed as {\em closed} quantum systems. However, in…

强关联电子 · 物理学 2026-04-23 Federico Garcia-Gaitan , Branislav K. Nikolic

Quantum spin liquids may be considered "quantum disordered" ground states of spin systems, in which zero point fluctuations are so strong that they prevent conventional magnetic long range order. More interestingly, quantum spin liquids are…

强关联电子 · 物理学 2017-02-21 Lucile Savary , Leon Balents

Quantum spin liquids (QSLs) are long-range entangled states of quantum magnets which lie beyond the Landau paradigm of classifying phases of matter via broken symmetries. A physical route to arriving at QSLs is via frustration-induced…

强关联电子 · 物理学 2017-09-20 Ciarán Hickey , Lukasz Cincio , Zlatko Papić , Arun Paramekanti

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…

强关联电子 · 物理学 2020-06-17 Wen-Jun Hu , Yi Zhang , Andriy H. Nevidomskyy , Elbio Dagotto , Qimiao Si , Hsin-Hua Lai

At the theoretical level, quantum spin liquids are distinguished from other phases of matter by their entanglement properties. However, since the usual measure of entanglement, entanglement entropy, cannot accessed in experiment,…

强关联电子 · 物理学 2025-05-20 Tokuro Shimokawa , Snigdh Sabharwal , Nic Shannon

We review the role of zero-temperature entropy in several closely-related contexts in QCD. The first is entropy associated with disordered condensates, including $< G_{\mu\nu}^2>$. The second is vacuum entropy arising from QCD solitons such…

高能物理 - 唯象学 · 物理学 2012-03-30 John M. Cornwall

"Topological ordered" phases such as gapped quantum spin-liquids and fractional quantum Hall states possess ground state degeneracy on a torus. We show that the topological nature of this degeneracy has interesting consequences for the…

强关联电子 · 物理学 2011-12-13 Tarun Grover

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…

强关联电子 · 物理学 2025-10-01 Xun Cai , Zhaoyu Han , Zi-Xiang Li , Steven A. Kivelson , Hong Yao

In condensed matter physics, there is a novel phase termed "quantum spin liquid", in which strong quantum fluctuations prevent the long-range magnetic order from being established, and so the electron spins do not form an ordered pattern…

强关联电子 · 物理学 2019-04-10 Jinsheng Wen , Shun-Li Yu , Shiyan Li , Weiqiang Yu , Jian-Xin Li

Quantum spin liquids (QSLs) represent exotic states of matter where quantum spins interact strongly yet evade long-range magnetic order down to absolute zero. Characterized by non-local quantum entanglement and resultant fractionalized…

强关联电子 · 物理学 2025-12-05 Yuji Matsuda , Takasada Shibauchi , Hae-Young Kee

Entanglement entropy in topologically ordered matter phases has been computed extensively using various methods. In this paper, we study the entanglement entropy of topological phases in two-spaces from a new perspective---the perspective…

强关联电子 · 物理学 2019-06-14 Yuting Hu , Yidun Wan

We study the properties of entanglement in two-dimensional topologically ordered phases of matter. Such phases support anyons, quasiparticles with exotic exchange statistics. The emergent nonlocal state spaces of anyonic systems admit a…

量子物理 · 物理学 2017-10-17 Parsa Bonderson , Christina Knapp , Kaushal Patel

The Landau paradigm of classifying phases by broken symmetries was demonstrated to be incomplete when it was realized that different quantum Hall states could only be distinguished by more subtle, topological properties. Today, the role of…

强关联电子 · 物理学 2015-03-18 Sergei V. Isakov , Matthew B. Hastings , Roger G. Melko
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