Quantum spin liquid states

By Yi Zhou, K. Kanoda, T. Ng. 2016

1,105 citations recorded by the source corpus.

This is an introductory review of the physics of quantum spin liquid states. Quantum magnetism is a rapidly evolving field, and recent developments reveal that the ground states and low-energy physics of frustrated spin systems may develop many exotic behaviors once we leave the regime of semiclassical approaches. The purpose of this article is to introduce these developments. The article begins by explaining how semiclassical approaches fail once quantum mechanics become important and then describe the alternative approaches for addressing the problem. Mainly spin-1/2 systems are discussed, and most of the time is spent in this article on one particular set of plausible spin liquid states in which spins are represented by fermions. These states are spin-singlet states and may be viewed as an extension of Fermi liquid states to Mott insulators, and they are usually classified in the category of so-called SU(2), U(1), or Z2 spin liquid states. A review is given of the basic theory regarding these states and the extensions of these states to include the effect of spin-orbit coupling and to higher spin (S>1/2) systems. Two other important approaches with strong influences on the understanding of spin liquid states are also introduced: (i) matrix product states and projected entangled pair states and (ii) the Kitaev honeycomb model. Experimental progress concerning spin liquid states in realistic materials, including anisotropic triangular-lattice systems [κ-(ET)2Cu2(CN)3 and EtMe3Sb[Pd(dmit)2]2], kagome-lattice system [ZnCu3(OH)6Cl2], and hyperkagome lattice system (Na4Ir3O8), is reviewed and compared against the corresponding theories.

Subfields: Atomic and Molecular Physics, and Optics, Condensed Matter Physics

View Paper: https://www.semanticscholar.org/paper/7ea71bc7dd190b155fa627fc390151ba2c719ca4

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The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Atomic and Molecular Physics, and Optics

1. M. Zahid Hasan
2. A. Bostwick
3. Eli Rotenberg
4. Junwei Liu
5. Liang Fu
6. Jia-Xin Yin
7. Yugui Yao
8. Kohei M. Itoh

In Condensed Matter Physics

1. M. Zahid Hasan
2. Liang Fu
3. P. Dai
4. R. Comin
5. Ashvin Vishwanath
6. Y. Ando
7. Masatoshi Sato
8. Hsin Lin

Citations in the corpus

• Electronic nature of chiral charge order in the kagome superconductor CsV3Sb5 (2021, background): “Owing to the unusual lattice geometry, spins on kagome lattices can be geometrically frustrated and form a quantum spin liquid [1,2].”
• Massive Dirac fermions in a ferromagnetic kagome metal (2017, background): “6)(2) Archimedes tiling predicted to support a wide variety of exotic phenomena in solids including magnetic frustration [7], flat band ferrromagnetism [16], and exotic superconductivity [17].”
• Materials challenges and opportunities for quantum computing hardware (2021, background): “…in which non-Abelian anyons could be realized, including certain fractional quantum Hall (FQH) states in high-mobility GaAs/ (Ga,Al)As heterostructures ( 319 ), as well as Majorana zero modes (MZMs) in topological superconductors and superfluids ( 320 , 321 ) and in quantum spin liquids ( 322 ).”