Development of Quantum Spin Liquid

Abstract This review synthesizes recent developments in identifying emergent quantum spin liquids in the Heisenberg model on the kagome lattice. We review a subset of progresses on the discovery of the gapped chiral spin liquid and the gapless Dirac spin liquid. We discuss several powerful numerical techniques for directly dissecting the topological order of quantum spin liquids, including entanglement measures and adiabatic topological pumping to overcome traditional limitations of calculations.Abstract This review synthesizes recent developments in identifying emergent quantum spin liquids in the Heisenberg model on the kagome lattice. We review a subset of progresses on the discovery of the gapped chiral spin liquid and the gapless Dirac spin liquid. We discuss several powerful numerical techniques for directly dissecting the topological order of quantum spin liquids, including entanglement measures and adiabatic topological pumping to overcome traditional limitations of calculations.

Quantum FrontiersAug 26, 20255 citations

Experimental realization of a new quantum spin liquid

B. Lake, Christian Batz, Johannes Reuther +11 more

Bulletin of the American Physical SocietyMar 16, 20170 citations

A New Quantum Spin Liquid Candidate

Anonymous

PhysicsMay 7, 20190 citations

Kitaev quantum spin liquids

Yuji Matsuda, T. Shibauchi, Hae‐Young Kee

Frustration in spin systems can prevent ordering even at $T=0$ , creating quantum spin liquids that have been sought since Anderson's pioneering work in 1973 and his influential 1987 paper connecting them to high-temperature superconductivity. Kitaev's solvable spin-1/2 models on a honeycomb lattice brought renewed attention to this field, with Jackeli and Khaliullin later revealing how to engineer Kitaev interactions in real materials. This review highlights theoretical and experimental developments in Kitaev spin liquids, emphasizing leading candidate materials and their broad topological properties such as chiral edge modes. Consequently, it provides essential insights for both experimentalists and theorists working on quantum spin liquid problems.Frustration in spin systems can prevent ordering even at $T=0$, creating quantum spin liquids that have been sought since Anderson's pioneering work in 1973 and his influential 1987 paper connecting them to high-temperature superconductivity. Kitaev's solvable spin-1/2 models on a honeycomb lattice brought renewed attention to this field, with Jackeli and Khaliullin later revealing how to engineer Kitaev interactions in real materials. This review highlights theoretical and experimental developments in Kitaev spin liquids, emphasizing leading candidate materials and their broad topological properties such as chiral edge modes. Consequently, it provides essential insights for both experimentalists and theorists working on quantum spin liquid problems.

arXiv:2501.05608Reviews of Modern PhysicsSep 3, 202535 citations

Characterizing entanglement at finite temperature: how does a "classical" paramagnet become a quantum spin liquid?

Snigdh Sabharwal, Matthias Gohlke, Paul Skrzypczyk +1 more

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 states, the way in which QSL form at finite temperature remains an open question. Here we introduce a method of characterizing both the depth and spatial structure of entanglement, and use this to explore how patterns of entanglement form as temperature is reduced in two widely studied models of QSL, the Kitaev honeycomb model, and the spin-1/2 Heisenberg antiferromagnet on a Kagome lattice. These results enable us to evaluate both the temperature at which spins within the high-temperature paramagnet first become entangled, and the temperature at which the system first develops the structured, multipartite entanglement characteristic of its QSL ground state.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 states, the way in which QSL form at finite temperature remains an open question. Here we introduce a method of characterizing both the depth and spatial structure of entanglement, and use this to explore how patterns of entanglement form as temperature is reduced in two widely studied models of QSL, the Kitaev honeycomb model, and the spin-1/2 Heisenberg antiferromagnet on a Kagome lattice. These results enable us to evaluate both the temperature at which spins within the high-temperature paramagnet first become entangled, and the temperature at which the system first develops the structured, multipartite entanglement characteristic of its QSL ground state.

cond-mat.str-elCross-listedarXiv:2511.15144Nov 20, 20250 citations

One-Dimensional Quantum Spin Liquid

M. Ya. Amusia, Vasily R. Shaginyan

Springer tracts in modern physicsJan 1, 20201 citation

Frustration in spin systems can prevent ordering even at

T=0

, creating quantum spin liquids that have been sought since Anderson's pioneering work in 1973 and his influential 1987 paper connecting them to high-temperature superconductivity. Kitaev's solvable spin-1/2 models on a honeycomb lattice brought renewed attention to this field, with Jackeli and Khaliullin later revealing how to engineer Kitaev interactions in real materials. This review highlights theoretical and experimental developments in Kitaev spin liquids, emphasizing leading candidate materials and their broad topological properties such as chiral edge modes. Consequently, it provides essential insights for both experimentalists and theorists working on quantum spin liquid problems.