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We investigate the magnetism of a previously unexplored distorted spin-1/2 kagome model consisting of three symmetry-inequivalent nearest-neighbor antiferromagnetic Heisenberg couplings Jhexagon, J and J', and uncover a rich ground state…

Strongly Correlated Electrons · Physics 2022-01-24 Max Hering , Francesco Ferrari , Aleksandar Razpopov , Igor I. Mazin , Roser Valenti , Harald O. Jeschke , Johannes Reuther

A family of spin-orbit coupled honeycomb Mott insulators offers a playground to search for quantum spin liquids (QSLs) via bond-dependent interactions. In candidate materials, a symmetric off-diagonal $\Gamma$ term, close cousin of Kitaev…

Strongly Correlated Electrons · Physics 2021-06-07 Qiang Luo , Jize Zhao , Hae-Young Kee , Xiaoqun Wang

Using a combination of unbiased quantum Monte Carlo simulations and a decoupled dimer mean-field theory, we investigate the thermal and quantum phase transitions of the spin-1/2 Heisenberg model on the dimerized diamond lattice. We find…

Strongly Correlated Electrons · Physics 2025-09-03 Ronja Bärwolf , Alexander Sushchyev , Francesco Parisen Toldin , Stefan Wessel

We study the zero-temperature phase diagram and the low-lying excitations of a square-lattice spin-half Heisenberg antiferromagnet with two types of regularly distributed nearest-neighbour exchange bonds (J>0 (antiferromagnetic) and J'>0,…

Strongly Correlated Electrons · Physics 2009-10-31 Sven E. Krüger , Johannes Richter , Jörg Schulenburg , Damian J. J. Farnell , Raymond F. Bishop

The S = 1/2 Heisenberg antiferromagnet on the two-dimensional pyramid lattice is studied by the numerical-diagonalization method. This lattice is obtained by the combination of the Lieb lattice and the square lattice. It is known that when…

Strongly Correlated Electrons · Physics 2018-09-03 Toru Sakai , Hiroki Nakano

The study of quantum frustrated systems remains one of the most challenging subjects of quantum magnetism, as they can hold quantum spin liquids, whose characterization is quite elusive. The presence of gapped quantum spin liquids…

Strongly Correlated Electrons · Physics 2019-10-16 D. Castells-Graells , A. Yuste , A. Sanpera

Using the coupled-cluster method (CCM) and the rotation-invariant Green's function method (RGM), we study the influence of the interlayer coupling $J_\perp$ on the magnetic ordering in the ground state of the spin-1/2 $J_1$-$J_2$ frustrated…

Strongly Correlated Electrons · Physics 2007-05-23 D. Schmalfuss , R. Darradi , J. Richter , J. Schulenburg , D. Ihle

The nature of quantum spin liquids is studied for the spin-$1/2$ antiferromagnetic Heisenberg model on a square lattice containing exchange interactions between nearest-neighbor sites, $J_1$, and those between next-nearest-neighbor sites,…

Strongly Correlated Electrons · Physics 2015-02-02 Satoshi Morita , Ryui Kaneko , Masatoshi Imada

The spin$-1/2$ Heisenberg antiferromagnet on the honeycomb bilayer lattice is shown to display a rich variety of semiclassical and genuinely quantum phases, controlled by the interplay between intralayer frustration and interlayer exchange.…

Strongly Correlated Electrons · Physics 2018-06-20 H. Zhang , C. A. Lamas , M. Arlego , Wolfram Brenig

On a lattice composed of triangular plaquettes where antiferromagnetic exchange interactions between localized spins cannot be simultaneously satisfied, the system becomes geometrically frustrated with magnetically disordered phases…

The variational study of the ground state of the spin$-1/2$ anisotropic Heisenberg antiferromagnet has been revisited on a square lattice by improving and correcting past numerical results found in Sol. State. Comm. 165, 33 (2013). The…

We present the results of an exact diagonalization study of the spin-1/2 Heisenberg antiferromagnet on a two-dimensional version of the pyrochlore lattice, also known as the square lattice with crossings or the checkerboard lattice.…

Strongly Correlated Electrons · Physics 2009-11-07 S. E. Palmer , J. T. Chalker

We present an extensive analytical and numerical study of the antiferromagnetic Heisenberg model on the Cairo pentagonal lattice, the dual of the Shastry-Sutherland lattice with a close realization in the S=5/2 compound Bi2Fe4O9. We…

Strongly Correlated Electrons · Physics 2012-03-27 I. Rousochatzakis , A. M. Läuchli , R. Moessner

Quantum spin liquids (QSLs) are exotic phases of matter exhibiting long-range entanglement and supporting emergent gauge fields. A vigorous search for experimental realizations of these states has identified several materials with…

Strongly Correlated Electrons · Physics 2018-07-24 Owen Benton

We study frustrated, two-dimensional, quantum antiferromagnets in the vicinity of a quantum transition from a non-collinear, magnetically-ordered ground state to a quantum disordered phase. The general scaling properties of this transition…

Condensed Matter · Physics 2009-10-22 Andrey V. Chubukov , Subir Sachdev , T. Senthil

We investigated the isotropic spin-1/2 Heisenberg model on an anisotropic square lattice with competing exchange interactions, motivated by the unconventional magnetic behavior observed in the verdazyl-based compound (o-MePy-V)PF6. Using a…

Strongly Correlated Electrons · Physics 2025-11-21 L. M. Ramos , M. Schmidt , F. M. Zimmer

The behavior of the paradigmatic $J_1-J_2$ triangular lattice Heisenberg antiferromagnet in a magnetic field remains unsettled despite decades of study. We map out the phase diagram using three complementary approaches, including…

Strongly Correlated Electrons · Physics 2025-12-10 Thomas Bader , Shi Feng , Sasank Budaraju , Federico Becca , Johannes Knolle , Frank Pollmann

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

Using (infinite) density matrix renormalization group techniques, ground state properties of antiferromagnetic S=1 Heisenberg spin chains with exchange and single-site anisotropies in an external field are studied. The phase diagram is…

Statistical Mechanics · Physics 2012-11-07 D. Peters , I. P. McCulloch , W. Selke

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