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Related papers: Quantum dimer model with extensive ground-state en…

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We study spin-1/2 Heisenberg antiferromagnets on a diamond-like-decorated square lattice perturbed by two kinds of further neighbor couplings. In our previous study [J. Phys. Soc. Jpn. 85, 094002 (2016)], the second-order effective…

Statistical Mechanics · Physics 2017-11-15 Yuhei Hirose , Akihide Oguchi , Yoshiyuki Fukumoto

The Heisenberg antiferromagnet on the Kagom\'{e} lattice is studied in the framework of Schwinger-boson mean-field theory. Two solutions with different symmetries are presented. One solution gives a conventional quantum state with…

Strongly Correlated Electrons · Physics 2007-11-06 Peng Li , Haibin Su , Shun-Qing Shen

We study the ground-state properties of the quantum spin liquid (QSL) phases of the spin-$1/2$ antiferromagnetic Heisenberg model on the triangular lattice with nearest- ($J_1$), next-nearest- ($J_2$), and third-neighbor ($J_3$)…

Strongly Correlated Electrons · Physics 2023-05-10 Yi-Fan Jiang , Hong-Chen Jiang

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

We construct a generalized quantum dimer model on two-dimensional nonbipartite lattices including the triangular lattice, the star lattice and the kagome lattice. At the Rokhsar-Kivelson (RK) point, we obtain its exact ground states that…

Strongly Correlated Electrons · Physics 2015-10-09 Yang Qi , Zheng-Cheng Gu , Hong Yao

The geometric frustration of the spin-1/2 Ising-Heisenberg model on the triangulated Kagome (triangles-in-triangles) lattice is investigated within the framework of an exact analytical method based on the generalized star-triangle mapping…

Statistical Mechanics · Physics 2009-11-13 Jozef Strecka , Lucia Canova , Michal Jascur , Masayuki Hagiwara

We theoretically study low-temperature properties of the antiferromagnetic Heisenberg model with half-integer spin $S$ on the Kagome lattice with large trimerization. We have derived a low-energy effective model for general $S$ in terms of…

Strongly Correlated Electrons · Physics 2021-06-09 Ichiro Tanaka , Hirokazu Tsunetsugu

We propose an accurate thermometry approach for Rydberg atom tweezer arrays combining data from correlation and local susceptibility measurements with a theoretical high-temperature expansion method for dynamic spin correlations. We apply…

Quantum Gases · Physics 2026-04-27 Erik Fitzner , Igor Lesanovsky , Björn Sbierski

We study the exact low energy spectra of the spin 1/2 Heisenberg antiferromagnet on small samples of the kagom\'e lattice of up to N=36 sites. In agreement with the conclusions of previous authors, we find that these low energy spectra…

Statistical Mechanics · Physics 2009-10-31 Ch. Waldtmann , H. -U. Everts , B. Bernu , P. Sindzingre , C. Lhuillier , P. Lecheminant , L. Pierre

We propose an experimental protocol for using cold atoms to create and probe quantum dimer models, thereby exploring the Pauling-Anderson vision of a macroscopic collection of resonating bonds. This process can allow the study of exotic…

Quantum Gases · Physics 2019-04-25 Bhuvanesh Sundar , Todd C. Rutkowski , Erich J. Mueller , Michael J. Lawler

We propose a quantum dimer model for the metallic state of the hole-doped cuprates at low hole density, $p$. The Hilbert space is spanned by spinless, neutral, bosonic dimers and spin $S=1/2$, charge $+e$ fermionic dimers. The model…

Strongly Correlated Electrons · Physics 2015-11-24 Matthias Punk , Andrea Allais , Subir Sachdev

This paper is concerned with physics of the low energy singlet excitations found to exist below the spin gap in numerical studies of the Kagome lattice quantum Heisenberg antiferromagnet. Insight into the nature of these excitations is…

Strongly Correlated Electrons · Physics 2010-07-16 P. Nikolic , T. Senthil

The $2+1$-dimensional quantum dimer model on a square lattice, proposed by Rokhsar and Kivelson as a theory of layered superconductivity, is shown to be equivalent to a many-body theory of free, transversely oscillating strings obeying…

Condensed Matter · Physics 2010-11-01 Peter Orland

We present a class of quantum dimer models on the kagome lattice with full translational invariance that feature a quantum many-body scar state of analytically known entanglement properties within their spectra. Using exact diagonalization…

Strongly Correlated Electrons · Physics 2021-09-29 Julia Wildeboer , Alexander Seidel , N. S. Srivatsa , Anne E. B. Nielsen , Onur Erten

The doping of quantum Heisenberg antiferromagnets on the kagome lattice by non-magnetic impurities is investigated within the framework of a generalized quantum dimer model (QDM) describing a) the valence bond crystal (VBC), b) the dimer…

Strongly Correlated Electrons · Physics 2010-11-29 D. Poilblanc , A. Ralko

The kagome Heisenberg antiferromagnet is a leading candidate in the search for a spin system with a quantum spin-liquid ground state. The nature of its ground state remains a matter of great debate. We conducted 17-O single crystal NMR…

Strongly Correlated Electrons · Physics 2015-11-09 M. Fu , T. Imai , T. -H. Han , Y. S. Lee

We perform a density-matrix renormalization group (DMRG) study of the S=1/2 Heisenberg antiferromagnet on the kagome lattice to identify the conjectured spin liquid ground state. Exploiting SU(2) spin symmetry, which allows us to keep up to…

Strongly Correlated Electrons · Physics 2012-08-15 Stefan Depenbrock , Ian P. McCulloch , Ulrich Schollwoeck

The presence of competing interactions due to geometry leads to frustration in quantum spin models. As a consequence, the ground state of such systems often displays a large degeneracy that can be lifted due to thermal or quantum effects.…

Statistical Mechanics · Physics 2024-08-23 Pratyankara Narasimhan , Stephan Humeniuk , Ananda Roy , Victor Drouin-Touchette

The interplay between local and itinerant electrons underpins many correlated and topological quantum states. Kagome lattices provide an ideal platform by hosting both flat (localized states) and dispersive bands (itinerant states), yet…

We study a recently proposed quantum dimer model for the pseudogap metal state of the cuprates. The model contains bosonic dimers, representing a spin-singlet valence bond between a pair of electrons, and fermionic dimers, representing a…

Strongly Correlated Electrons · Physics 2016-09-09 Junhyun Lee , Subir Sachdev , Steven R. White