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In this work we investigate the ground state properties of a candidate quantum spin liquid using a superconducting Noisy Intermediate-Scale Quantum (NISQ) device. Specifically, we study the antiferromagnetic Heisenberg model on a Kagome…

Quantum Physics · Physics 2025-06-17 Tim Weaving , Alexis Ralli , Vinul Wimalaweera , Peter J. Love , Peter V. Coveney

A spin-1/2 Heisenberg model on honeycomb lattice is investigated by doing triplon analysis and quantum Monte Carlo calculations. This model, inspired by Cu$_2$(pymca)$_3$(ClO$_4$), has three different antiferromagnetic exchange interactions…

Strongly Correlated Electrons · Physics 2021-09-15 Meghadeepa Adhikary , Arnaud Ralko , Brijesh Kumar

We introduce a frustrated spin 1/2 Hamiltonian which is an extension of the two dimensional $J_1 - J_2$ Heisenberg model. The ground states of this model are exactly obtained at a first order quantum phase transition between two regions…

Strongly Correlated Electrons · Physics 2009-11-10 C. D. Batista , S. A. Trugman

We have studied the Heisenberg antiferromagnets on two-dimensional frustrated lattices, triangular and kagome lattices using linear spin-wave theory. A collinear ground state ordering is possible if one of the three bonds in each triangular…

Strongly Correlated Electrons · Physics 2009-11-11 Uma Bhaumik , A. Taraphder

We report results from spin trimer-based cluster quantum Monte Carlo simulations for the thermodynamic properties of two-dimensional frustrated quantum antiferromagnets that are composed of weakly-coupled three-spin (trimer) clusters. In…

Strongly Correlated Electrons · Physics 2022-08-31 Lukas Weber , Nils Caci , Stefan Wessel

For the paradigmatic frustrated spin-half Heisenberg antiferromagnet on the kagome lattice we performed large-scale numerical investigation of thermodynamic functions by means of the finite-temperature Lanczos method for system sizes of up…

Strongly Correlated Electrons · Physics 2018-10-03 J. Schnack , J. Schulenburg , J. Richter

We propose a general non-perturbative scheme that quantitatively maps the low-energy sector of spin-1/2 frustrated Heisenberg antiferromagnets to effective Generalized Quantum Dimer Models. We develop the formal lattice independent frame…

Strongly Correlated Electrons · Physics 2010-06-21 David Schwandt , Matthieu Mambrini , Didier Poilblanc

Frustrated magnetic interactions in a quasi-two-dimensional [111] slab of pyrochlore lattice were studied. For uniform nearest neighbor (NN) interactions, we show that the complex magnetic problem can be mapped onto a model with two…

Strongly Correlated Electrons · Physics 2012-06-05 K. Iida , S. -H. Lee , S. -W. Cheong

We present several different calculations pertaining to the nature of the low-energy excitations of the site-diluted S=1/2 Heisenberg antiferromagnet, in particular at the percolation point. We present a picture of excitations originating…

Strongly Correlated Electrons · Physics 2011-04-26 Ling Wang , Anders W. Sandvik

We clarify the existence of several magnetization plateaux for the kagome $S=1/2$ antiferromagnetic Heisenberg model in a magnetic field. Using approximate or exact localized magnon eigenstates, we are able to describe in a similar manner…

Strongly Correlated Electrons · Physics 2013-10-30 Sylvain Capponi , Oleg Derzhko , Andreas Honecker , Andreas M. Läuchli , Johannes Richter

We report an inelastic neutron scattering (INS) study under a magnetic field on the frustrated molecular spin cluster $V_{15}$. Several field-dependent transitions are observed and provide a comprehensive understanding of the low-energy…

Strongly Correlated Electrons · Physics 2009-11-10 G. Chaboussant , S. T. Ochsenbein , A. Sieber , H. -U. Guedel , H. Mutka , A. Mueller , B. Barbara

The low-energy singlet dynamics of the Quantum Heisenberg Antiferromagnet on the Kagome lattice is described by a quantitative Quantum Dimer Model. Using advanced numerical tools, the latter is shown to exhibit Valence Bond Crystal order…

Strongly Correlated Electrons · Physics 2010-05-25 Didier Poilblanc , Matthieu Mambrini , David Schwandt

Two ubiquitous features of frustrated spin systems stand out: massive degeneracy of their ground states and flat, or dispersionless, excitation branches. In real materials, the former is frequently lifted by secondary interactions or…

Strongly Correlated Electrons · Physics 2015-09-09 A. L. Chernyshev

We investigate the spin-$1/2$ Heisenberg antiferromagnet on the ruby lattice with uniform first- and second-neighbor interactions, which forms a two-dimensional network of corner-sharing tetrahedra. Using infinite projected entangled pair…

Strongly Correlated Electrons · Physics 2025-12-17 Pratyay Ghosh , Frédéric Mila

The weathervane modes of the classical Heisenberg antiferromagnet on the kagome lattice constitute possibly the earliest and certainly the most celebrated example of a flat band of zero-energy excitations. Such modes arise from the…

Statistical Mechanics · Physics 2017-10-18 Mykola Maksymenko , Roderich Moessner , Kirill Shtengel

We believe that a necessary first step in understanding the ground state properties of the spin-${\scriptstyle\frac{1}{2}}$ kagome Heisenberg antiferromagnet is a better understanding of this model's very large number of low energy singlet…

Strongly Correlated Electrons · Physics 2020-07-15 Yuan Yao , C. J. Umrigar , Veit Elser

The antiferromagnetic Heisenberg model on an anisotropic kagome lattice may be a good minimal model for real magnetic systems as well as a limit from which the isotropic case can be better understood. We therefore study the nearest-neighbor…

Strongly Correlated Electrons · Physics 2009-08-05 E. M. Stoudenmire , Leon Balents

Motivated by recent developments in magnetic materials, frustrated nanoarrays and cold atomic systems, we investigate the behaviour of dipolar spins on the frustrated two-dimensional kagome lattice. By combining the Luttinger-Tisza…

Strongly Correlated Electrons · Physics 2015-05-18 Mykola Maksymenko , V. Ravi Chandra , Roderich Moessner

The magnetization process of the S=1/2 Heisenberg antiferromagnet on the kagome lattice is studied by the numerical-diagonalization method. We successfully obtain a new result of the magnetization process of a 42-site cluster in the entire…

Strongly Correlated Electrons · Physics 2014-10-02 Hiroki Nakano , Toru Sakai

We use the coupled cluster method to study the zero-temperature properties of an extended two-dimensional Heisenberg antiferromagnet formed from spin-1/2 moments on an infinite spatially anisotropic kagome lattice of corner-sharing…

Strongly Correlated Electrons · Physics 2012-12-05 P. H. Y. Li , R. F. Bishop , C. E. Campbell , D. J. J. Farnell , O. Götze , J. Richter
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