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The ground-state (GS) phase diagram of the frustrated spin-$s$ $J_{1}$--$J_{2}$--$J_{3}$ Heisenberg antiferromagnet on the honeycomb lattice is studied using the coupled cluster method, for spin quantum numbers…

Strongly Correlated Electrons · Physics 2016-05-05 P H Y Li , R F Bishop , C E Campbell

The spin-1/2 J1-J2 antiferromagnet is a prototypical model for frustrated magnetism and one possible candidate for a realization of a spin liquid phase. The generalization of this system on the anisotropic square lattice is given by the…

Strongly Correlated Electrons · Physics 2014-06-25 Alexandros Metavitsiadis , Daniel Sellmann , Sebastian Eggert

We use Schwinger boson mean field theory (SBMFT) to study the ground state of the spin-$S$ triangular-lattice Heisenberg model with nearest ($J_1$) and next-nearest ($J_2$) neighbor antiferromagnetic interactions. Previous work on the…

Strongly Correlated Electrons · Physics 2017-10-25 Dag-Vidar Bauer , J. O Fjærestad

Using mean-field theory, exact diagonalizations and SU(3) flavour theory, we have precisely mapped out the phase diagram of the S=1 bilinear-biquadratic Heisenberg model on the triangular lattice in a magnetic field, with emphasis on the…

Strongly Correlated Electrons · Physics 2007-05-23 A. Laeuchli , F. Mila , K. Penc

We present numerical exact results for the ground state and the low-lying excitations for the spin-1/2 J1-J2 Heisenberg antiferromagnet on finite square lattices of up to N=40 sites. Using finite-size extrapolation we determine the…

Strongly Correlated Electrons · Physics 2010-01-11 J. Richter , J. Schulenburg

We investigate the ground state phase diagram of the spin-$1/2$ antiferromagnetic Heisenberg model on the star lattice using infinite projected entangled pair states (iPEPS) and high-order series expansions. The model includes two distinct…

Strongly Correlated Electrons · Physics 2025-12-17 Pratyay Ghosh , Jan Koziol , Samuel Nyckees , Kai Phillip Schmidt , Frédéric Mila

Magnetic properties of spin $\frac 12$ $J_1-J_2$ Heisenberg antiferromagnet on body centered cubic lattice are investigated. By using two-time temperature Green's functions, sublattice magnetization and critical temperature depending on the…

Strongly Correlated Electrons · Physics 2013-12-24 Milan R. Pantic , Darko V. Kapor , Slobodan M. Radosevic , Petar M. Mali

We study a frustrated spin-$\frac{1}{2}$ $J_{1}$--$J_{2}$--$J_{3}$--$J_{1}^{\perp}$ Heisenberg antiferromagnet on an $AA$-stacked bilayer honeycomb lattice. In each layer we consider nearest-neighbor (NN), next-nearest-neighbor, and…

Strongly Correlated Electrons · Physics 2017-12-20 R. F. Bishop , P. H. Y. Li

Zero-point quantum fluctuations of a N\'eel order can produce effective interactions between quasi-orphan spins weakly coupled to the lattice. On the $\sqrt{3}\times\sqrt{3}-$distorted triangular lattice, this phenomenon leads to a…

Strongly Correlated Electrons · Physics 2023-04-18 G. G. Blesio , F. T. Lisandrini , M. G. Gonzalez

We have investigated the quantum $J_1-J_2-J_3$ model on the honeycomb lattice with exact diagonalizations and linear spin-wave calculations for selected values of $J_{2}/J_{1}$, $J_{3}/J_{1}$ and antiferromagnetic ($J_{1}>0$) or…

Strongly Correlated Electrons · Physics 2009-11-07 J. B. Fouet , P. Sindzingre , C. Lhuillier

We study the ground-state phase diagram of the frustrated quantum $J_1-J_2$ Heisenberg antiferromagnet on the honeycomb lattice using a mean field approach in terms of the Schwinger boson representation of the spin operators. We present…

Strongly Correlated Electrons · Physics 2013-01-24 Hao Zhang , C. A. Lamas

A model for a Heisenberg antiferromagnet on a pyrochlore lattice with exchange and dipole-dipole interactions is studied via mean-field theory. In treating the dipoles by use of the Ewald method, a soft (critical) mode with a unique…

Statistical Mechanics · Physics 2007-05-23 Matthew Enjalran , Michel J. P. Gingras

We study S=1/2 Heisenberg model on the honeycomb lattice with first and second neighbor antiferromagnetic exchange (J_{1}-J_{2} model), employing exact diagonalization in both S_z=0 basis and nearest neighbor singlet valence bond (NNVB)…

Strongly Correlated Electrons · Physics 2011-05-25 H. Mosadeq , F. Shahbazi , S. A. Jafari

We consider 2D Heisenberg antiferromagnets on a triangular lattice with spatially anisotropic interactions in a high magnetic field close to the saturation. We show that this system possess rich phase diagram in field/anisotropy plane due…

Strongly Correlated Electrons · Physics 2014-08-25 Oleg A. Starykh , Wen Jin , Andrey V. Chubukov

In this paper we present a detailed study of the antiferromagnetic classical Heisenberg model on a bilayer honeycomb lattice in a highly frustrated regime in presence of a magnetic field. This study shows strong evidence of entropic…

Strongly Correlated Electrons · Physics 2016-05-16 F. A. Gómez Albarracín , H. D. Rosales

We study the zero-temperature phase diagram of the 2D quantum $J_{1}^{XXZ}$--$J_{2}^{XXZ}$ spin-1/2 anisotropic Heisenberg model on the square lattice. In particular, the effects of the anisotropy $\Delta$ on the $z$-aligned N\'{e}el and…

Strongly Correlated Electrons · Physics 2008-08-14 R. F. Bishop , P. H. Y. Li , R. Darradi , J. Schulenburg , J. Richter

We study the properties of the Heisenberg antiferromagnet with spatially anisotropic nearest-neighbour exchange couplings on the kagome net, i.e. with coupling J in one lattice direction and couplings J' along the other two directions. For…

Strongly Correlated Electrons · Physics 2009-11-13 T. Yavors'kii , W. Apel , H. -U. Everts

The electronic and magnetic properties of K$_{2}$CuP$_{2}$O$_{7}$ were investigated by means of susceptibility, specific heat and $^{31}$P nuclear magnetic resonance (NMR) measurements and by LDA band structure calculations. The temperature…

Strongly Correlated Electrons · Physics 2009-11-13 R. Nath , Deepa Kasinathan , H. Rosner , M. Baenitz , C. Geibel

We study the ground-state (gs) phase diagram of the frustrated spin-1/2 $J_{1}$--$J_{2}$ antiferromagnet with $J_{2}=\kappa J_1>0$ ($J_{1}>0$) on the honeycomb lattice, using the coupled-cluster method. We present results for the…

Strongly Correlated Electrons · Physics 2012-05-15 P. H. Y. Li , R. F. Bishop , D. J. J. Farnell , C. E. Campbell

Specific heat ($C_V$) measurements in the spin-1/2 Cu$_2$(C$_2$H$_{12}$N$_2$)$_2$Cl$_4$ system under a magnetic field up to $H=8.25 T$ are reported and compared to the results of numerical calculations based on the 2-leg antiferromagnetic…

Strongly Correlated Electrons · Physics 2009-10-31 R. Calemczuk , J. Riera , D. Poilblanc , J. -P. Boucher , G. Chaboussant , L. Levy , O. Piovesana