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We introduce quantum dimer models on lattices made of corner-sharing triangles. These lattices includes the kagome lattice and can be defined in arbitrary geometry. They realize fully disordered and gapped dimer-liquid phase with…

Strongly Correlated Electrons · Physics 2011-07-19 G. Misguich , D. Serban , V. Pasquier

The $\mathbb{Z}_2$ topological phase in the quantum dimer model on the Kagom\'e-lattice is a candidate for the description of the low-energy physics of the anti-ferromagnetic Heisenberg model on the same lattice. We study the extend of the…

Strongly Correlated Electrons · Physics 2017-12-20 Marc D. Schulz

Quantum dimer models typically arise in various low energy theories like those of frustrated antiferromagnets. We introduce a quantum dimer model on the kagome lattice which stabilizes an alternative $\mathbb{Z}_2$ topological order, namely…

Strongly Correlated Electrons · Physics 2014-12-03 Oliver Buerschaper , Siddhardh C. Morampudi , Frank Pollmann

We present quantum dimer models in two dimensions which realize metallic ground states with Z2 topological order. Our models are generalizations of a dimer model introduced in [PNAS 112,9552-9557 (2015)] to provide an effective description…

Strongly Correlated Electrons · Physics 2019-12-04 Brin Verheijden , Yuhao Zhao , Matthias Punk

We introduce a quantum dimer model on the kagome lattice with kinetic terms allowing from 3 to 6 dimers to resonate around hexagons. Unlike models studied previously, the different resonance loops appears with different signs (given by the…

Strongly Correlated Electrons · Physics 2009-11-10 Gregoire Misguich , Didina Serban , Vincent Pasquier

We consider hard-core bosons on the kagome lattice in the presence of short range repulsive interactions and focus particularly on the filling factor 1/3. In the strongly interacting limit, the low energy excitations can be described by the…

Strongly Correlated Electrons · Physics 2017-02-21 Krishanu Roychowdhury , Subhro Bhattacharjee , Frank Pollmann

A quantum dimer model (QDM) on the kagome lattice with an extensive ground-state entropy was recently introduced [Phys. Rev. B 67, 214413 (2003)]. The ground-state energy of this QDM in presence of one and two static holes is investigated…

Strongly Correlated Electrons · Physics 2007-05-23 Gregoire Misguich , Didina Serban , Vincent Pasquier

We introduce the quantum dimer-pentamer model (QDPM) on the square lattice. This model is a generalization of the square lattice quantum dimer model as its configuration space comprises fully-packed hard-core dimer coverings as well as…

Statistical Mechanics · Physics 2017-12-06 Owen Myers , C. M. Herdman

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

Recent experiments on the "hyper-kagome" lattice system Na$_4$Ir$_3$O$_8$ have demonstrated that it is a rare example of a three dimensional spin-1/2 frustrated antiferromagnet. We investigate the role of quantum fluctuations as the primary…

Strongly Correlated Electrons · Physics 2009-11-13 Michael J. Lawler , Hae-Young Kee , Yong Baek Kim , Ashvin Vishwanath

We study a generalized quantum hard-core dimer model on the square and honeycomb lattices, allowing for first and second neighbor dimers. At generalized RK points, the exact ground states can be constructed, and ground-state correlation…

Strongly Correlated Electrons · Physics 2015-06-03 Hong Yao , Steven A. Kivelson

The imminent realization of topologically-protected qubits in fabricated systems will provide not only an elementary implementation of fault-tolerant quantum computing architecture, but also an experimental vehicle for the general study of…

Strongly Correlated Electrons · Physics 2014-12-18 Zhihao Hao , Stephen Inglis , Roger Melko

We study a large-N deformation of the S=1/2 pyrochlore Heisenberg antiferromagnet which leads to a soluble quantum dimer model at leading non-trivial order. In this limit, the ground state manifold -- while extensively degenerate -- breaks…

Strongly Correlated Electrons · Physics 2016-08-31 R. Moessner , S. L. Sondhi , M. O. Goerbig

Repulsively interacting particles in a periodic potential can form bound composite objects, whose dissociation is suppressed by a band gap. Nearly pure samples of such repulsively bound pairs of cold atoms -- "dimers" -- have recently been…

Other Condensed Matter · Physics 2008-03-31 David Petrosyan , Bernd Schmidt , James R. Anglin , Michael Fleischhauer

Recently, quantum dimer models, in which the system can tunnel between different classical dimer configurations, have attracted a great deal of interest as a paradigm for the study of exotic quantum phases. Much of this excitement has…

Strongly Correlated Electrons · Physics 2011-10-13 Olga Sikora , Nic Shannon , Frank Pollmann , Karlo Penc , Peter Fulde

We revisit the description of the low-energy singlet sector of the spin-1/2 Heisenberg antiferromagnet on kagome in terms of an effective quantum dimer model. With the help of exact diagonalizations of appropriate finite-size clusters, we…

Strongly Correlated Electrons · Physics 2014-09-16 Ioannis Rousochatzakis , Yuan Wan , Oleg Tchernyshyov , Frédéric Mila

Quantum dimer models are known to host topological quantum spin liquid phases, and it has recently become possible to simulate such models with Rydberg atoms trapped in arrays of optical tweezers. Here, we present large-scale quantum Monte…

Strongly Correlated Electrons · Physics 2022-11-08 Zheng Yan , Rhine Samajdar , Yan-Cheng Wang , Subir Sachdev , Zi Yang Meng

Quantum simulators are an essential tool for understanding complex quantum materials. Platforms based on ultracold atoms in optical lattices and photonic devices led the field so far, but electronic quantum simulators are proving to be…

Mesoscale and Nanoscale Physics · Physics 2019-11-25 S. N. Kempkes , M. R. Slot , J. J. van den Broeke , P. Capiod , W. A. Benalcazar , D. Vanmaekelbergh , D. Bercioux , I. Swart , C. Morais Smith

We construct a local interacting quantum dimer model on the square lattice, whose zero-temperature phase diagram is characterized by a line of critical points separating two ordered phases of the valence bond crystal type. On one side, the…

Strongly Correlated Electrons · Physics 2007-05-23 Claudio Castelnovo , Claudio Chamon , Christopher Mudry , Pierre Pujol , .

We consider a family of generalized Rokhsar-Kivelson (RK) Hamiltonians, which are reverse-engineered to have an arbitrary edge-weighted superposition of dimer coverings as their exact ground state at the RK point. We focus on a quantum…

Strongly Correlated Electrons · Physics 2026-03-17 Laura Shou , Jeet Shah , Matthew Lerner-Brecher , Amol Aggarwal , Alexei Borodin , Victor Galitski
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