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The spin-1/2 Ising-Heisenberg model on martini and martini-diced lattice is exactly solved using a star-triangle transformation, which affords an exact mapping correspondence to an effective spin-1/2 Ising model on a triangular lattice. The…

Statistical Mechanics · Physics 2022-03-23 Hamid Arian Zad , Jozef Strecka

We present a comprehensive computational study of the phase diagram of the frustrated S=1/2 Heisenberg antiferromagnet on the honeycomb lattice, with second-nearest (J2) and third-neighbor (J3) couplings. Using a combination of exact…

Strongly Correlated Electrons · Physics 2015-03-19 A. F. Albuquerque , D. Schwandt , B. Hetényi , S. Capponi , M. Mambrini , A. M. Läuchli

$\gamma$-${\rm Ba}_{3}{\rm CoNb}_{2}{\rm O}_{9}$ realizes a disordered simple-cubic spin-$1/2$ lattice in which Co$^{2+}$ ions randomly occupy one third of the sites, placing the system close to the site-percolation threshold for magnetic…

The ordering temperature of a quasi-one-dimensional system, consisting of weakly interacting quantum spin-1/2 chains with antiferromagnetic spin-frustrating couplings (or zig-zag ladder) is calculated. The results show that a quantum…

Strongly Correlated Electrons · Physics 2009-11-13 A. A. Zvyagin , S. -L. Drechsler

We investigate the phase diagram of hard-core bosons on a square lattice with competing interactions. The hard-core bosons can be represented also by spin-1/2 operators and the model can therefore be mapped onto an anisotropic…

Strongly Correlated Electrons · Physics 2015-03-18 A. Kalz , A. Honecker , S. Fuchs , T. Pruschke

We report magnetocaloric and magnetic-torque evidence that in Cs$_{2}$CuBr$_{4}$ -- a geometrically frustrated Heisenberg $S=1/2$ triangular-lattice antiferromagnet -- quantum fluctuations stabilize a series of spin states at simple…

Strongly Correlated Electrons · Physics 2015-05-13 N. A. Fortune , S. T. Hannahs , Y. Yoshida , T. E. Sherline , T. Ono , H. Tanaka , Y. Takano

Fractional magnetisation plateaus, in which the magnetisation is pinned at a fraction of its saturated value within a range of external magnetic field, are spectacular macroscopic manifestations of the collective quantum behaviours. One…

We consider the spin-1/2 antiferromagnetic Heisenberg model on a bilayer honeycomb lattice including interlayer frustration in the presence of an external magnetic field. In the vicinity of the saturation field, we map the low-energy states…

Strongly Correlated Electrons · Physics 2017-03-22 Taras Krokhmalskii , Vasyl Baliha , Oleg Derzhko , Jörg Schulenburg , Johannes Richter

A group symmetry analysis of the low lying levels of the spin-1/2 kagom\'e Heisenberg antiferromagnet is performed for small samples up to N=27. This approach allows to follow the effect of quantum fluctuations when the sample size…

Strongly Correlated Electrons · Physics 2009-10-30 P. Lecheminant , B. Bernu , C. Lhuillier , L. Pierre , P. Sindzingre

We study the magnetic phase diagram of the $J_1$--$J_2$ Heisenberg antiferromagnet on a honeycomb lattice at the strongly frustrated point $J_2/J_1=1/2$ using large-scale Monte Carlo simulations. At low temperatures we find three different…

Strongly Correlated Electrons · Physics 2014-06-24 H. D. Rosales , D. C. Cabra , C. A. Lamas , P. Pujol , M. E. Zhitomirsky

We examine a novel type of disorder in quantum antiferromagnets. Our model consists of localized spins with antiferromagnetic exchanges on a bipartite quasiperiodic structure, which is geometrically disordered in such a way that no…

Strongly Correlated Electrons · Physics 2015-05-13 Attila Szallas , Anuradha Jagannathan , Stefan Wessel

A quantum magnetic state due to magnetic charges is never observed, even though they are treated as quantum mechanical variable in theoretical calculations. Here, we demonstrate the occurrence of a novel quantum disordered state of magnetic…

Mesoscale and Nanoscale Physics · Physics 2021-02-25 George Yumnam , Yiyao Chen , Jiasen Guo , Jong K. Keum , Valeria Lauter , Deepak K. Singh

In the present paper we present some new data supporting the existence of a spin-disordered phase in the Heisenberg model on the honeycomb lattice with antiferromagnetic interactions up to third neighbors along the line J2=J3, predicted in…

Strongly Correlated Electrons · Physics 2011-06-01 D. C. Cabra , C. A. Lamas , H. D. Rosales

We discuss the ground state of a disordered two dimensional Heisenberg antiferromagnet. The starting structure is taken to be a perfectly deterministic quasiperiodic tiling, and the type of disorder we consider is geometric, involving…

Strongly Correlated Electrons · Physics 2008-10-15 Attila Szallas , Anuradha Jagannathan

The (three-dimensional) pyrochlore lattice antiferromagnet with Heisenberg spins of large spin length $S$ is a highly frustrated model with an macroscopic degeneracy of classical ground states. The zero-point energy of (harmonic order) spin…

Strongly Correlated Electrons · Physics 2009-11-11 Christopher L. Henley

We present Quantum Monte-Carlo simulations of an exchange-anisotropic spin-1/2 Heisenberg model on a square lattice with nearest and next-nearest neighbor interactions. The ground state phase diagram shows two classical magnetically ordered…

Strongly Correlated Electrons · Physics 2012-12-20 A. Kalz , A. Honecker , S. Fuchs , T. Pruschke

Spin liquids occuring in 2D frustrated spin systems were initially assumed to appear at strongest frustration, but evidence grows that they more likely intervene at transitions between two different types of order. To identify if this is…

Strongly Correlated Electrons · Physics 2013-01-30 Philipp Hauke

We study the ground state of a spin-half Heisenberg antiferromagnet on the stacked kagome lattice by using a spin-rotation-invariant Green's-function method. Since the pure two-dimensional kagome antiferromagnet is most likely a…

Strongly Correlated Electrons · Physics 2009-11-10 D. Schmalfuss , J. Richter , D. Ihle

We consider the effect of quantum spin fluctuations on the ground state properties of the Heisenberg antiferromagnet on an anisotropic triangular lattice using linear spin-wave theory. This model should describe the magnetic properties of…

Strongly Correlated Electrons · Physics 2009-10-31 J. Merino , Ross H. McKenzie , J. B. Marston , C. H. Chung

The crystal structure, magnetic ground state, and the temperature dependent microscopic spin-spin correlations of the frustrated honeycomb lattice antiferromagnet Na2Co2TeO6 have been investigated by powder neutron diffraction. A three…

Strongly Correlated Electrons · Physics 2017-03-29 A. K. Bera , S. M. Yusuf , Amit Kumar , C. Ritter