Observation of a transient magnetization plateau in a quantum antiferromagnet on the Kagomé lattice

Narumi, Yasuo; Katsumata, Kenji; Honda, Zentaro; Domenge, Jean-Christophe; Sindzingre, Philippe; Lhuillier, C.; Shimaoka, Yoshiyuki; Kobayashi, Tatsuo; Kindo, Koichi

doi:10.1209/epl/i2003-10164-5

Cited by 58 publications

(59 citation statements)

References 26 publications

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“…Similar plateaux have been observed in other materials or lattice models containing triangle motifs, e.g., triangular 33,34 and kagome [35][36][37] lattices. The 1/3-plateau in the former was explained with "up-up-down" (UUD) spin structure on each triangle, and is therefore dubbed as an UUD phase, which has a quantum origin.…”

Section: Magnetization Curve and The Phase Diagramsupporting

confidence: 85%

Featureless quantum spin liquid,13-magnetization plateau state, and exotic thermodynamic properties of the spin-12frustrated Heisenberg antiferromagnet on an infinite Husimi lattice

Liu

Ran

et al. 2014

Phys. Rev. B

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By utilizing the tensor-network-based methods, we investigate the zero-and finite-temperature properties of the spin-1/2 Heisenberg antiferromagnetic (HAF) model on an infinite Husimi lattice that contains 3/2 sites per triangle. The ground state of this model is found to possess vanishing local magnetization and is featureless; the spin-spin and dimer-dimer correlation functions are verified to decay exponentially; and its ground-state energy per site is determined to be e 0 = −0.4343(1), which is very close to that [e 0 = −0.4386(5)] of the intriguing kagome HAF model. The magnetization curve shows the absence of a zero-magnetization plateau, implying a gapless excitation. A 1/3-magnetization plateau with spin up-up-down state is observed, which is selected and stabilized by quantum fluctuations. A ground state phase diagram under magnetic fields is presented. Moreover, both magnetic susceptibility and the specific heat are studied, whose low-temperature behaviors reinforce the conclusion that the HAF model on the infinite Husimi lattice owns a gapless and featureless spin liquid ground state.

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Section: Magnetization Curve and The Phase Diagramsupporting

confidence: 85%

Featureless quantum spin liquid,13-magnetization plateau state, and exotic thermodynamic properties of the spin-12frustrated Heisenberg antiferromagnet on an infinite Husimi lattice

Liu

Ran

et al. 2014

Phys. Rev. B

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“…It is worthy to note, moreover, that the zero-field specific heat can also be simply obtained as a temperature derivative of the internal energy (16), but the final expression is too cumbersome to write it down here explicitly.…”

Section: +mentioning

confidence: 99%

Exact solution of the geometrically frustrated spin-12Ising-Heisenberg model on the triangulated kagome (triangles-in-triangles) lattice

et al. 2008

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The geometric frustration of the spin-1/2 Ising-Heisenberg model on the triangulated Kagomé (triangles-in-triangles) lattice is investigated within the framework of an exact analytical method based on the generalized star-triangle mapping transformation. Ground-state and finite-temperature phase diagrams are obtained along with other exact results for the partition function, Helmholtz free energy, internal energy, entropy, and specific heat, by establishing a precise mapping relationship to the corresponding spin-1/2 Ising model on the Kagomé lattice. It is shown that the residual entropy of the disordered spin liquid phase is for the quantum Ising-Heisenberg model significantly lower than for its semi-classical Ising limit (S0/NTkB = 0.2806 and 0.4752, respectively), which implies that quantum fluctuations partially lift a macroscopic degeneracy of the ground-state manifold in the frustrated regime. The investigated model system has an obvious relevance to a series of polymeric coordination compounds Cu9X2(cpa)6 (X=F, Cl, Br and cpa=carboxypentonic acid) for which we made a theoretical prediction about the temperature dependence of zero-field specific heat.

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“…This is the mathematical orgin of the pronounced minimum in dM/dB at B = B sat /3. Plateau like structures in the magnetization versus B in various two-and three-dimensional lattices built of corner-sharing triangles lattices at one-third of the saturated moment have been under investigation for the past two decades as an expression of geometric frustration [1,2,3,14,15]. Moreover, theoretical studies of the classical Heisenberg antiferromagnet on the Kagomé lattice show that dM/dB has a pronounced minimum at one-third of B sat [4].…”

Section: K (See Insetmentioning

confidence: 99%

Competing Spin Phases in Geometrically Frustrated Magnetic Molecules

et al. 2005

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We have identified a class of zero-dimensional classical and quantum Heisenberg spin systems exhibiting anomalous behavior in an external magnetic field B similar to that found for the geometrically frustrated Kagomé lattice of classical spins. Our calculations for the isotropic Heisenberg model show the emergence of a pronounced minimum in the differential susceptibility dM/dB at Bsat/3 as the temperature T is raised from 0 K for structures based on corner-sharing triangles, specifically the octahedron, cuboctahedron, and icosidodecahedron. We also provide the first experimental evidence for this behavior dM/dB: It is exhibited by the giant Keplerate magnetic molecule {Mo72Fe30} (Fe 3+ ions with spin s = 5/2 on the 30 vertices of an icosidodecahedron). The minimum in dM/dB is due to the fact that for low temperatures when B ≈ Bsat/3 there exist two competing families of spin configurations of which one behaves magnetically "stiff" leading to a reduction of the differential susceptibility. The magnetism of frustrated one-, two-, and threedimensional lattice spin systems is a fascinating subject due to the richness of phenomena that are observed [1,2,3]. In this Letter we report that one effect of geometrical frustration, which so far has been reported [4] only for the theoretical model of classical spins on a Kagomé lattice, already appears for a class of zero-dimensional materials, namely certain magnetic molecules hosting highly symmetric arrays of classical or quantum spins. These molecular units [5] contain a set of paramagnetic ions whose mutual interactions are described by isotropic Heisenberg exchange and where the intermolecular magnetic interactions (dipole-dipole for the most part) are negligible as compared to intramolecular Heisenberg exchange. Magnetic molecules as zero-dimensional spin systems provide a new avenue for detailed exploration of the basic issues of geometric frustration. They are particularly appealing since they offer the prospect of being modeled unencumbered by some of the complications of bulk magnetic materials.We here report experimental and theoretical results for the occurrence of a striking anomaly in the differential susceptibility dM/dB versus magnetic field B that is exhibited by the giant Keplerate magnetic molecule {Mo 72 Fe 30 } [6,7]. This molecule features 30 Fe 3+ ions on the vertices of an icosidodecahedron that interact via nearest-neighbor (nn) isotropic antiferromagnetic (AF) exchange (J/k B = 1.57 K). Due to their near-perfect O h -symmetric coordination environment, the Fe 3+ ions represent ideal s = 5/2 spin centers with virually no single-ion anisotropy. We also present theoretical results for the classical and quantum Heisenberg model showing that the same anomaly in dM/dB occurs for a class of geometrically frustrated zero-dimensional systems, where spins mounted on the vertices of a triangle, octahedron, cuboctahedron, or an icosidodecahedron interact via nn isotropic AF exchange. As the temperature T is raised from 0 K a deep narrow minimum in dM/dB emerg...

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Observation of a transient magnetization plateau in a quantum antiferromagnet on the Kagomé lattice

Cited by 58 publications

References 26 publications

Featureless quantum spin liquid,13-magnetization plateau state, and exotic thermodynamic properties of the spin-12frustrated Heisenberg antiferromagnet on an infinite Husimi lattice

Featureless quantum spin liquid,13-magnetization plateau state, and exotic thermodynamic properties of the spin-12frustrated Heisenberg antiferromagnet on an infinite Husimi lattice

Exact solution of the geometrically frustrated spin-12Ising-Heisenberg model on the triangulated kagome (triangles-in-triangles) lattice

Competing Spin Phases in Geometrically Frustrated Magnetic Molecules

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