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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 examine the nature of the transition to the antiferromagnetically ordered state in the half-filled three-dimensional Hubbard model using the dual-fermion multiscale approach. Consistent with analytics, in the weak-coupling regime we find…

Strongly Correlated Electrons · Physics 2015-10-14 Daniel Hirschmeier , Hartmut Hafermann , Emanuel Gull , Alexander I. Lichtenstein , Andrey E. Antipov

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 two-dimensional kagome lattice is theoretically investigated within a simple tight-binding model, which includes the nearest neighbor hopping term and the intrinsic spin-orbit interaction between the next nearest neighbors. By using the…

Mesoscale and Nanoscale Physics · Physics 2011-08-03 Zhigang Wang , Ping Zhang

Topological properties of a certain class of spinless three-band Hamiltonians are shown to be summed up by the Skyrmion number in momentum space, analogous to the case of two-band Hamiltonian. Topological tight-binding Hamiltonian on a…

Strongly Correlated Electrons · Physics 2015-06-12 Gyungchoon Go , Jin-Hong Park , Jung Hoon Han

A ferrimagnetic spin model composed of $S=1/2$ spin-dimers and $S=5/2$ spin-chains is studied by combining the bond-operator representation (for $S=1/2$ spin-dimers) and Holstein-Primakoff transformation (for $S=5/2$ spins). A finite…

Strongly Correlated Electrons · Physics 2015-05-14 Bao Xu , Han-Ting Wang , Yupeng Wang

The spin-fermion model has long been used to describe the quantum-critical behavior of 2d electron systems near an antiferromagnetic (AFM) instability. Recently, the standard procedure to integrate out the fermions to obtain an effective…

Strongly Correlated Electrons · Physics 2008-02-21 Tilman Enss , Sergio Caprara , Claudio Castellani , Carlo Di Castro , Marco Grilli

We develop a strong coupling approach towards quantum magnetism in Mott insulators for Wannier obstructed bands. Despite the lack of Wannier orbitals, electrons can still singly occupy a set of exponentially-localized but nonorthogonal…

Strongly Correlated Electrons · Physics 2025-12-03 Xiao-Yang Huang , Taige Wang , Shang Liu , Hong-Ye Hu , Yi-Zhuang You

Condensed matter exhibits a wide variety of exotic emergent phenomena such as the fractional quantum Hall effect and the low temperature cooperative behavior of highly frustrated magnets. I consider the classical Hamiltonian dynamics of…

Strongly Correlated Electrons · Physics 2015-05-27 Michael J. Lawler

It is evidenced that effective lattice-gas models of hard-core monomers and dimers afford a proper description of low-temperature features of spin-1/2 Heisenberg diamond and octahedral chains. Besides monomeric particles assigned within the…

Statistical Mechanics · Physics 2022-03-23 J. Strecka , T. Verkholyak , J. Richter , K. Karlova , O. Derzhko , J. Schnack

The spin-1/2 Heisenberg model on the kagome lattice, which is closely realized in layered Mott insulators such as ZnCu$_3$(OH)$_6$Cl$_2$, is one of the oldest and most enigmatic spin-1/2 lattice model. While the numerical evidence has…

Strongly Correlated Electrons · Physics 2018-03-07 Arnaud Ralko , Frédéric Mila , Ioannis Rousochatzakis

Quantum dimer models exhibit quantum critical points and liquid states when the ground state is the resonating-valence bond (RVB) state. We construct SU(2)-invariant spin-1/2 Hamiltonians with the same RVB ground state. The main technical…

Strongly Correlated Electrons · Physics 2013-05-29 Jennifer Cano , Paul Fendley

The two-orbital Hubbard-Kanamori model is studied using the strong coupling diagram technique. This approach allows one to take into account the interactions of electrons with spin, charge, and orbital fluctuations of all ranges. It was…

Strongly Correlated Electrons · Physics 2020-08-11 Alexei Sherman

A number of experiments on the hyperkagome iridate, Na$_4$Ir$_3$O$_8$, suggest existence of a gapless quantum spin liquid state at low temperature. Circumventing the slave particle approach commonly used in theoretical analyses of…

Strongly Correlated Electrons · Physics 2016-12-07 Yuan Wan , Yong Baek Kim

It is shown that site disorder induces noncoplanar states, competing with the thermal selection of coplanar states, in the nearest neighbor, classical kagome Heisenberg antiferromagnet (AFM). For weak disorder, it is found that the ground…

Condensed Matter · Physics 2009-10-22 E. F. Shender , V. B. Cherepanov , P. C. W. Holdsworth , A. J. Berlinsky

A long-wavelength, low energy hamiltonian is derived to describe the dynamic of a single hole in a quantum antiferromagnet in two or higher spatial dimensions. In this {\em exactly solvable} limit a {\em new} kind of symmetry is important…

Condensed Matter · Physics 2009-10-22 S. Sorella

We determine dynamical response functions of the S=1/2 Heisenberg quantum antiferromagnet on the kagome lattice based on large-scale exact diagonalizations combined with a continued fraction technique. The dynamical spin structure factor…

Strongly Correlated Electrons · Physics 2009-01-09 Andreas Laeuchli , Claire Lhuillier

We study the low-lying energy clustering patterns of quantum antiferromagnets with p sublattices (in particular p=4). We treat each sublattice as a large spin, and using second-order degenerate perturbation theory, we derive the effective…

Strongly Correlated Electrons · Physics 2009-11-07 N. G. Zhang , C. L. Henley , C. Rischel , K. Lefmann

We present a comprehensive analysis of the magnetic excitations and electronic properties of fully quantum double-exchange ferromagnets, i.e., systems where ferromagnetic ordering emerges from the competition between spin, charge, and…

Strongly Correlated Electrons · Physics 2025-05-20 A. Moreo , E. Dagotto , G. Alvarez , T. Tohyama , M. Mierzejewski , J. Herbrych

A quantum anti-ferromagnetic spin-1 model is characterised on a 2D lattice with the following requirements: i) The Hamiltonian is made out of nearest neighbour interactions. ii) It is homogeneous, translational and rotational invariant.…

Strongly Correlated Electrons · Physics 2008-11-26 E. Rico , H. J. Briegel
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