6,089 research outputs found
Thermodynamics and phase transitions for the Heisenberg model on the pinwheel distorted kagome lattice
We study the Heisenberg model on the pinwheel distorted kagome lattice as
observed in the material Rb_2Cu_3SnF_12. Experimentally relevant thermodynamic
properties at finite temperatures are computed utilizing numerical
linked-cluster expansions. We also develop a Lanczos-based, zero-temperature,
numerical linked cluster expansion to study the approach of the pinwheel
distorted lattice to the uniform kagome-lattice Heisenberg model. We find
strong evidence for a phase transition before the uniform limit is reached,
implying that the ground state of the kagome-lattice Heisenberg model is likely
not pinwheel dimerized and is stable to finite pinwheel-dimerizing
perturbations.Comment: 6 pages, 6 figures, 1 tabl
Inhomogeneous magnetism in the doped kagome lattice of LaCuO2.66
The hole-doped kagome lattice of Cu2+ ions in LaCuO2.66 was investigated by
nuclear quadrupole resonance (NQR), electron spin resonance (ESR), electrical
resistivity, bulk magnetization and specific heat measurements. For
temperatures above ~180 K, the spin and charge properties show an activated
behavior suggestive of a narrow-gap semiconductor. At lower temperatures, the
results indicate an insulating ground state which may or may not be charge
ordered. While the frustrated spins in remaining patches of the original kagome
lattice might not be directly detected here, the observation of coexisting
non-magnetic sites, free spins and frozen moments reveals an intrinsically
inhomogeneous magnetism. Numerical simulations of a 1/3-diluted kagome lattice
rationalize this magnetic state in terms of a heterogeneous distribution of
cluster sizes and morphologies near the site-percolation threshold
On the non-ergodicity of the Swendsen-Wang-Kotecky algorithm on the kagome lattice
We study the properties of the Wang-Swendsen-Kotecky cluster Monte Carlo
algorithm for simulating the 3-state kagome-lattice Potts antiferromagnet at
zero temperature. We prove that this algorithm is not ergodic for symmetric
subsets of the kagome lattice with fully periodic boundary conditions: given an
initial configuration, not all configurations are accessible via Monte Carlo
steps. The same conclusion holds for single-site dynamics.Comment: Latex2e. 22 pages. Contains 11 figures using pstricks package. Uses
iopart.sty. Final version accepted in journa
Pinwheel VBS state and triplet excitations in the two-dimensional deformed kagome lattice
Determining ground states of correlated electron systems is fundamental to
understanding novel phenomena in condensed matter physics. A difficulty,
however, arises in a geometrically frustrated system in which the
incompatibility between the global topology of an underlying lattice and local
spin interactions gives rise to macroscopically degenerate ground states,
potentially prompting the emergence of quantum spin states, such as resonating
valence bond (RVB) and valence bond solid (VBS). Although theoretically
proposed to exist in a kagome lattice -- one of the most highly frustrated
lattices in two dimensions (2D) being comprised of corner-sharing triangles --
such quantum-fluctuation-induced states have not been observed experimentally.
Here we report the first realization of the "pinwheel" VBS ground state in the
S=1/2 deformed kagome lattice antiferromagnet Rb2Cu3SnF12. In this system, a
lattice distortion breaks the translational symmetry of the ideal kagome
lattice and stabilizes the VBS state.Comment: 10 pages, 4 figures and Supplemental Informatio
Dirac fermions and flat bands in the ideal kagome metal FeSn.
A kagome lattice of 3d transition metal ions is a versatile platform for correlated topological phases hosting symmetry-protected electronic excitations and magnetic ground states. However, the paradigmatic states of the idealized two-dimensional kagome lattice-Dirac fermions and flat bands-have not been simultaneously observed. Here, we use angle-resolved photoemission spectroscopy and de Haas-van Alphen quantum oscillations to reveal coexisting surface and bulk Dirac fermions as well as flat bands in the antiferromagnetic kagome metal FeSn, which has spatially decoupled kagome planes. Our band structure calculations and matrix element simulations demonstrate that the bulk Dirac bands arise from in-plane localized Fe-3d orbitals, and evidence that the coexisting Dirac surface state realizes a rare example of fully spin-polarized two-dimensional Dirac fermions due to spin-layer locking in FeSn. The prospect to harness these prototypical excitations in a kagome lattice is a frontier of great promise at the confluence of topology, magnetism and strongly correlated physics
Localized structures in Kagome lattices
We investigate the existence and stability of gap vortices and multi-pole gap
solitons in a Kagome lattice with a defocusing nonlinearity both in a discrete
case and in a continuum one with periodic external modulation. In particular,
predictions are made based on expansion around a simple and analytically
tractable anti-continuum (zero coupling) limit. These predictions are then
confirmed for a continuum model of an optically-induced Kagome lattice in a
photorefractive crystal obtained by a continuous transformation of a honeycomb
lattice
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