Two-Dimensional Quantum Antiferromagnets

Misguich, Grégoire; Lhuillier, C.

doi:10.1142/9789814440745_0005

Cited by 23 publications

(31 citation statements)

References 118 publications

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“…A quantum superposition of this with all other near neighbor dimer coverings would be an RVB spin liquid. Right: A pair of visons at a and b (Misguich and Lhuillier, 2013). There is a negative sign in the wave function for this excited state associated with every dimer that the curve Ω crosses.…”

Section: B Quantum Spin Liquidsmentioning

confidence: 98%

“…Over the years, a variety of materials have been identified where the magnetic ions sit on a kagome lattice (Balents, 2010;Cava et al, 2011;Mendels and Bert, 2016;Misguich and Lhuillier, 2013). Unfortunately, space precludes a discussion of these fascinating systems.…”

Section: Herbertsmithite and Its Relativesmentioning

confidence: 99%

“…For a more extensive treatment, several excellent reviews exist (Balents, 2010;Chalker, 2015;Misguich and Lhuillier, 2013;Moessner and Raman, 2011;Savary and Balents, 2016).…”

Section: Introduction To Spin Liquidsmentioning

confidence: 99%

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Colloquium : Herbertsmithite and the search for the quantum spin liquid

2016

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Quantum spin liquids form a novel class of matter where, despite the existence of strong exchange interactions, spins do not order down to the lowest measured temperature. Typically, these occur in lattices that act to frustrate the appearance of magnetism. In two dimensions, the classic example is the kagome lattice composed of corner sharing triangles. There are a variety of minerals whose transition metal ions form such a lattice. Hence, a number of them have been studied, and were then subsequently synthesized in order to obtain more pristine samples. Of particular note was the report in 2005 by Dan Nocera's group of the synthesis of herbertsmithite, composed of a lattice of copper ions sitting on a kagome lattice, which indeed does not order down to the lowest measured temperature despite the existence of a large exchange interaction of 17 meV. Over the past decade, this material has been extensively studied, yielding a number of intriguing surprises that have in turn motivated a resurgence of interest in the theoretical study of the spin 1 2 Heisenberg model on a kagome lattice. In this colloquium article, I will review these developments, and then discuss potential future directions, both experimental and theoretical, as well as the challenge of doping these materials with the hope that this could lead to the discovery of novel topological and superconducting phases.

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Section: B Quantum Spin Liquidsmentioning

confidence: 98%

Section: Herbertsmithite and Its Relativesmentioning

confidence: 99%

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Colloquium : Herbertsmithite and the search for the quantum spin liquid

2016

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“…Numerous studies have investigated the nature of this fluctuating spin state at low energies1234. Theoretical studies predict new possibilities for the ground state, namely, the long-range resonating valence bond (RVB) state, which is expressed by numerous singlet bonds resonating in the lattice4 and other spin liquids with small-gap or gapless character in their low-energy excitations123. Recent advances in material syntheses and characterization techniques have resulted in various new spin liquids being produced.…”

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confidence: 99%

Gapless spin liquid of an organic triangular compound evidenced by thermodynamic measurements

et al. 2011

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In frustrated magnetic systems, long-range ordering is forbidden and degeneracy of energy states persists, even at extremely low temperatures. Under certain conditions, these systems form an exotic quantum spin-liquid ground state, in which strongly correlated spins fluctuate in the spin lattices. Here we investigate the thermodynamic properties of an anion radical spin liquid of EtMe3Sb[Pd(dmit)2]2, where dmit represents 1,3-dithiole-2-thione-4,5-dithiolate. This compound is an organic dimer-based Mott insulator with a two-dimensional triangular lattice structure. We present distinct evidence for the formation of a gapless spin liquid by examining the T-linear heat capacity coefficient, γ , in the low-temperature heat capacity. Using comparative analyses with κ-(BEDT-TTF)2Cu2(CN)3, a generalized picture of the new spin liquid in dimer-based organic systems is discussed. We also report anomalous enhancement of γ, produced by a kind of criticality inherent to the Pd(dmit)2 phase diagram.

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“…The emergence of exotic physical properties in strongly correlated systems is of great current interest [1][2][3][4][5]. In particular, the spin-gapped systems with ground states made out of regularly arranged spin-singlets have been given a lot of attention in recent years [6,7]. Such class of nonmagnetic ground states protects SU(2) symmetry and shows exponentially decaying spin-spin correlations.…”

Section: Introductionmentioning

confidence: 99%

Triplon mean-field analysis of an antiferromagnet with degenerate Shastry–Sutherland ground states

Kumar¹,

Kumar²

2017

J. Phys. Commun.

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We look into the quantum phase diagram of a spin-1 2 antiferromagnet on the square lattice with degenerate Shastry-Sutherland ground states, for which only a schematic phase diagram is known so far. Many exotic phases were proposed in the schematic phase diagram by the use of exact diagonalization on very small system sizes. In our present work, an important extension of this antiferromagnet is introduced and investigated in the thermodynamic limit using triplon mean-field theory. Remarkably, this antiferromagnet shows a stable plaquette spin-gapped phase like the original Shastry-Sutherland antiferromagnet, although both of these antiferromagnets differ in the Hamiltonian construction and ground state degeneracy. We propose a sublattice columnar dimer phase which is stabilized by the second and third neighbor antiferromagnetic Heisenberg exchange interactions. There are also some commensurate and incommensurate magnetically ordered phases, and other spin-gapped phases which find their places in the quantum phase diagram. Mean-field results suggest that there is always a level-crossing phase transition between two spin-gapped phases, whereas in other situations, either a level-crossing or a continuous phase transition happens. s where L is the total number of lattice sites, = + J J K 2 2 4 3 , = + J J K 3 3 2 3 1 , z = J J 2 and plot eigenenergies of the Hamiltonian  p in figure 7. If z < 1 3 (equivalently, < J J 2 1 1 2 ), the two lowest eigenvalues -+ J J 2 1 1 2 2 and -+ J J 2 -+ -+ + J J J J J J 1 , z = J J 2 . 1 , d = J J 3

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Two-Dimensional Quantum Antiferromagnets

Cited by 23 publications

References 118 publications

Colloquium : Herbertsmithite and the search for the quantum spin liquid

Colloquium : Herbertsmithite and the search for the quantum spin liquid

Gapless spin liquid of an organic triangular compound evidenced by thermodynamic measurements

Triplon mean-field analysis of an antiferromagnet with degenerate Shastry–Sutherland ground states

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