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We present a Raman spectroscopic investigation of the Herbertsmithite ZnCu3(OH)6Cl2, the first realization of a Heisenberg s=1/2 antiferromagnet on a perfect kagome lattice. The magnetic excitation spectrum of this compound is dominated by…

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

We study the ground state phase diagram of the quantum spin-$1/2$ Heisenberg model on the kagom\'{e} lattice with first- ($J_1 < 0$), second- ($J_2 < 0$), and third-neighbor interactions ($J_d > 0$) by means of analytical low-energy field…

Strongly Correlated Electrons · Physics 2016-07-28 Shou-Shu Gong , Wei Zhu , Kun Yang , Oleg A. Starykh , D. N. Sheng , Leon Balents

{Extensive calculations in the short-range RVB (Resonating valence bond) subspace on both the trimerized and the regular (non-trimerized) Heisenberg model on the kagome lattice show that short-range dimer singlets capture the specific…

Strongly Correlated Electrons · Physics 2009-10-31 M. Mambrini , F. Mila

We present a two-dimensional lattice model for quantum spin-1/2 for which the low-energy limit is governed by four flavors of strongly interacting Majorana fermions. We study this low-energy effective theory using two alternative…

Strongly Correlated Electrons · Physics 2017-12-19 Jyong-Hao Chen , Christopher Mudry , Claudio Chamon , A. M. Tsvelik

We study the ground state and low-lying excitations of the S=1/2 XXZ antiferromagnet on the kagome lattice at magnetization one third of the saturation. An exponential number of non-magnetic states is found below a magnetic gap. The…

Strongly Correlated Electrons · Physics 2007-05-23 A. Honecker , D. C. Cabra , M. D. Grynberg , P. C. W. Holdsworth , P. Pujol , J. Richter , D. Schmalfuß , J. Schulenburg

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

We study the ground-state properties of the S=1/2 Heisenberg models on the quasi-onedimensional kagome strip lattices by the exact diagonalization and density matrix renormalization group methods. The models with two different strip widths…

Strongly Correlated Electrons · Physics 2012-08-01 Tokuro Shimokawa , Hiroki Nakano

The Hubbard model on the Kagom\'e lattice is investigated in a metallic phase at half-filling. By introducing anisotropic electron hopping on the lattice, we control geometrical frustration and clarify how the lattice geometry affects…

Strongly Correlated Electrons · Physics 2009-11-10 Yoshiki Imai , Norio Kawakami , Hirokazu Tsunetsugu

Spin excitations in an ordered Heisenberg magnet are magnons--bosons with spin 1. That may change when frustration and quantum fluctuations suppress the order and restore the spin-rotation symmetry. We show that spin excitations in the…

Strongly Correlated Electrons · Physics 2009-11-02 Zhihao Hao , Oleg Tchernyshyov

Using an advanced Monte Carlo algorithm and high precision spin dynamics simulation, we investigated the dynamical behavior of the Heisenberg antiferromagnet on a kagome lattice at extremely low temperatures. We demonstrate that the…

Strongly Correlated Electrons · Physics 2012-07-18 Stefan Schnabel , David P. Landau

Low energy spectrum of the S=1 kagom\'e Heisenberg antiferromagnet (KHAF) is studied by means of exact diagonalization and the cluster expansion. The magnitude of the energy gap of the magnetic excitation is consistent with the recent…

Statistical Mechanics · Physics 2009-10-31 Kazuo Hida

There is growing evidence from both experiment and numerical studies that low half-odd integer quantum spins on a kagome lattice with predominant antiferromagnetic near neighbor interactions do not order magnetically or break lattice…

Strongly Correlated Electrons · Physics 2009-11-13 S. Ryu , O. I. Motrunich , J. Alicea , Matthew P. A. Fisher

The spin wave excitations of the ideal S=5/2 Kagome lattice antiferromagnet KFe3(OH)6(SO4)2 have been measured using high-resolution inelastic neutron scattering. We directly observe a flat mode which corresponds to a lifted "zero energy…

Strongly Correlated Electrons · Physics 2008-10-31 K. Matan , D. Grohol , D. G. Nocera , T. Yildirim , A. B. Harris , S. H. Lee , S. E. Nagler , Y. S. Lee

Low-energy excitations in spin 1/2 antiferromagnetic Heisenberg spin ladders are studied by bosonization and gauge theoretical description. It is explicitly shown that zero modes in the bosonization play an essentially important role.…

Condensed Matter · Physics 2009-10-30 Ikuo Ichinose , Yasuyuki Kayama

We consider the spin-1/2 antiferromagnetic Heisenberg model on three frustrated lattices (the diamond chain, the dimer-plaquette chain and the two-dimensional square-kagome lattice) with almost dispersionless lowest magnon band. Eliminating…

Strongly Correlated Electrons · Physics 2013-10-03 Oleg Derzhko , Johannes Richter , Olesia Krupnitska , Taras Krokhmalskii

We study the excitation spectrum of the two-leg antiferromagnetic S=1/2 Heisenberg ladder. Our approach is based on the description of the excitations as triplets above a strong-coupling singlet ground state. The quasiparticle spectrum is…

Strongly Correlated Electrons · Physics 2009-10-31 O. P. Sushkov , V. N. Kotov

Using a recently developed method for calculating series expansions of the excitation spectra of quantum lattice models, we obtain the spin-wave spectra for square lattice, $S=1/2$ Heisenberg-Ising antiferromagnets. The calculated spin-wave…

Condensed Matter · Physics 2009-10-28 Rajiv R. P. Singh , Martin P. Gelfand

For a class of Hamiltonians of $XXZ$ spin chains in a uniform external magnetic field that are small quantum perturbations of an Ising Hamiltonian, it is shown that the spectral gap above the ground-state energy remains strictly positive…

Mathematical Physics · Physics 2025-01-22 Simone Del Vecchio , Jürg Fröhlich , Alessandro Pizzo , Alessio Ranallo

We study an atomic Fermi gas interacting through repulsive contact forces in a one dimensional harmonic trap. Bethe-Ansatz solutions lead to an inhomogeneous Tomonaga-Luttinger model for the low energy excitations. The equations of motion…

Strongly Correlated Electrons · Physics 2007-05-23 Lars Kecke , Hermann Grabert , Wolfgang Häusler