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We study controlled generation and measurement of superfluid d-wave resonating valence bond (RVB) states of fermionic atoms in 2D optical lattices. Starting from loading spatial and spin patterns of atoms in optical superlattices as pure…

Strongly Correlated Electrons · Physics 2007-05-23 Simon Trebst , Ulrich Schollwoeck , Matthias Troyer , Peter Zoller

We investigate separability and entanglement of Rokhsar-Kivelson (RK) states and resonating valence-bond (RVB) states. These states play a prominent role in condensed matter physics, as they can describe quantum spin liquids and quantum…

Strongly Correlated Electrons · Physics 2026-04-13 Gilles Parez , Clément Berthiere , William Witczak-Krempa

The concept of valence bond resonance plays a fundamental role in the theory of the chemical bond and is believed to lie at the heart of many-body quantum physical phenomena. Here we show direct experimental evidence of a time-resolved…

We have performed Diffusion Quantum Monte Carlo simulations of Li clusters showing that Resonating-Valence-Bond (RVB) pairing correlations between electrons provide a substantial contribution to the cohesive energy. The RVB effects are…

Strongly Correlated Electrons · Physics 2009-02-17 D. Nissenbaum , L. Spanu , C. Attaccalite , B. Barbiellini , A. Bansil

Using numerical results from a density matrix renormalization group study as a guide, we develop a resonating valence bond (RVB) theory for coupled Heisenberg chains. We argue that simple topological effects mandate a short-range RVB…

Condensed Matter · Physics 2009-10-22 S. R. White , R. M. Noack , D. J. Scalapino

The singlet dynamics which plays a major role in the physics of the spin-1/2 Quantum Heisenberg Antiferromagnet (QHAF) on the Kagome lattice can be approximately described by projecting onto the nearest-neighbor valence bond (NNVB) singlet…

Strongly Correlated Electrons · Physics 2011-12-05 Didier Poilblanc , Grégoire Misguich

A spin-1/2 system with double orbital degeneracy may possess SU(4) symmetry. According to the group theory a global SU(4) singelt state can be expressed as a linear combination of all possible configurations consisting of four-site SU(4)…

Strongly Correlated Electrons · Physics 2009-11-07 Shun-Qing Shen

A three-dimensional system of interacting spins typically develops static long-range order when it is cooled. If the spins are quantum (S = 1/2), however, novel quantum paramagnetic states may appear. The most highly sought state among them…

Strongly Correlated Electrons · Physics 2015-05-13 S. -H. Lee , H. Kikuchi , Y. Qiu , B. Lake , Q. Huang , K. Habicht , K. Kiefer

We relate properties of nearest-neighbour resonating valence bond (nnRVB) wavefunctions for $SU(g)$ spin systems on two dimensional bipartite lattices to those of fully-packed classical dimer models with potential energy $V$ on the same…

Strongly Correlated Electrons · Physics 2015-06-03 Kedar Damle , Deepak Dhar , Kabir Ramola

We formulate an analytical recursive method to generate the wave function of doped short-range resonating valence bond (RVB) states as a tool to efficiently estimate multisite entanglement as well as other physical quantities in doped…

Quantum Physics · Physics 2017-08-24 Sudipto Singha Roy , Himadri Shekhar Dhar , Debraj Rakshit , Aditi Sen De , Ujjwal Sen

A proposed ground state for the Kagome Lattice Heisenberg Model (KLHM) consists of a Valence Bond Crystal (VBC) with a 36-site unit cell. We calculate the low-lying triplet and singlet excitations in the VBC phase for the infinite-lattice…

Strongly Correlated Electrons · Physics 2009-11-13 Rajiv R. P. Singh , David A. Huse

We study the quantum dimer model on the triangular lattice, which is expected to describe the singlet dynamics of frustrated Heisenberg models in phases where valence bond configurations dominate their physics. We find, in contrast to the…

Strongly Correlated Electrons · Physics 2009-10-31 R. Moessner , S. L. Sondhi

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 present a Schwinger-boson approach for the RVB state of the spin-1/2 Heisenberg antiferromagnet on a triangular lattice. It is shown that Gutzwiller projection of the mean-field state that includes both antiferromagnetic and…

Condensed Matter · Physics 2015-06-25 Yong-Cong Chen

RV6Sn6 (R = Y and lanthanides) with two-dimensional vanadium-kagome surface states is an ideal platform to investigate kagome physics and manipulate the kagome features to realize novel phenomena. Utilizing the micron-scale spatially…

Using $^{63,65}$Cu nuclear magnetic resonance (NMR) in magnetic fields up to 30 T we study the microscopic properties of the 12-site valence-bond-solid ground state in the "pinwheel" kagome compound Rb$_2$Cu$_3$SnF$_{12}$. We find that the…

Strongly Correlated Electrons · Physics 2015-06-12 M. S. Grbić , S. Krämer , C. Berthier , F. Trousselet , O. Cépas , H. Tanaka , M. Horvatić

Destructive interference between electron wavefunctions on the two-dimensional (2D) kagome lattice induces an electronic flat band, which could host a variety of interesting many-body quantum states. Key to realize these proposals is to…

Mesoscale and Nanoscale Physics · Physics 2024-09-12 Caiyun Chen , Jiangchang Zheng , Ruopeng Yu , Soumya Sankar , Hoi Chun Po , Kam Tuen Law , Berthold Jäck

We construct a short-range resonating valence-bond state (RVB) on the ruby lattice, using projected entangled-pair states (PEPS) with bond dimension $D=3$. By introducing non-local moves to the dimer patterns on the torus, we distinguish…

Strongly Correlated Electrons · Physics 2020-03-18 Saeed S. Jahromi , Roman Orus

Excitonic properties in the Kagome lattice system, which is produced by quantum wires on semiconductor surfaces, are investigated by using the exact diagonalization of a tight binding model. It is shown that due to the existence of flat…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 H. Ishii , T. Nakayama , J. Inoue

Using a recursive method we construct dimer and nondimer variational ansatzs of the ground state for the two-legged ladder, and compute the number of dimer coverings, the energy density and the spin correlation functions. The number of…

Condensed Matter · Physics 2009-10-30 German Sierra , Miguel A. Martin-Delgado