Disordered flat bands on the kagome lattice

Published on Dec 5, 2018in Physical Review B4.036
· DOI :10.1103/PHYSREVB.98.235109
Thomas Bilitewski8
Estimated H-index: 8
 (MPG: Max Planck Society), Roderich Moessner73
Estimated H-index: 73
 (MPG: Max Planck Society)
Sources
Abstract
We study two models of correlated bond- and site-disorder on the kagome lattice considering both translationally invariant and completely disordered systems. The models are shown to exhibit a perfectly flat ground state band in the presence of disorder for which we provide exact analytic solutions. Whereas in one model the flat band remains gapped and touches the dispersive band, the other model has a finite gap, demonstrating that the band touching is not protected by topology alone. Our model also displays fully saturated ferromagnetic groundstates in the presence of repulsive interactions, an example of disordered flat band ferromagnetism.
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References48
Newest
Oct 23, 2018·Physical Review Letters9.16
#1Krishanu Roychowdhury (Cornell University)H-Index: 6
#2D. Zeb Rocklin (Cornell University)H-Index: 11
Last. Michael J. Lawler (Cornell University)H-Index: 29
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Kagome antiferromagnets are known to be highly frustrated and degenerate when they possess simple, isotropic interactions. We consider the entire class of these magnets when their interactions are spatially anisotropic. We do so by identifying a certain class of systems whose degenerate ground states can be mapped onto the folding motions of a generalized "spin origami" two-dimensional mechanical sheet. Some such anisotropic spin systems, including Cs2ZrCu3F12, map onto flat origami sheets, poss...
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Aug 27, 2018·Physical Review Letters9.16
#10Z. T. Sun (USTC: University of Science and Technology of China)H-Index: 42
: A flatband representing a highly degenerate and dispersionless manifold state of electrons may offer unique opportunities for the emergence of exotic quantum phases. To date, definitive experimental demonstrations of flatbands remain to be accomplished in realistic materials. Here, we present the first experimental observation of a striking flatband near the Fermi level in the layered Fe_{3}Sn_{2} crystal consisting of two Fe kagome lattices separated by a Sn spacing layer. The band flatness i...
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Jun 15, 2018·New Journal of Physics3.73
#1Błażej JaworowskiH-Index: 5
#2Alev Devrim Güçlü (İzmir Institute of Technology)H-Index: 19
Last. Arkadiusz WójsH-Index: 27
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We study the Wigner crystallization on partially filled topological flat bands. We identify the Wigner crystals by analyzing the cartesian and angular Fourier transform of the pair correlation density of the many-body ground state obtained using exact diagonalization. The crystallization strength measured by the magnitude of the Fourier peaks, increases with decreasing particle density. The shape of the resulting Wigner crystals is determined by the boundary conditions of the chosen plaquette an...
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#1Daniel LeykamH-Index: 26
#2Sergej FlachH-Index: 61
Flatbands are receiving increasing theoretical and experimental attention in the field of photonics, in particular in the field of photonic lattices. Flatband photonic lattices consist of arrays of coupled waveguides or resonators where the peculiar lattice geometry results in at least one completely flat or dispersionless band in its photonic band structure. Although bearing a strong resemblance to structural slow light, this independent research direction is instead inspired by analogies with ...
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Jun 4, 2018·Advances in Physics: X6.80
#1Daniel LeykamH-Index: 26
#2Alexei AndreanovH-Index: 15
Last. Sergej FlachH-Index: 61
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Certain lattice wave systems in translationally invariant settings have one or more spectral bands that are strictly flat or independent of momentum in the tight binding approximation, arising from...
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May 1, 2018·Physical Review B4.04
#1Biplab Pal (MPG: Max Planck Society)H-Index: 11
#2Kush Saha (MPG: Max Planck Society)H-Index: 13
We report the presence of multiple flat bands in a class of two-dimensional (2D) lattices formed by Sierpinski gasket (SPG) fractal geometries as the basic unit cells. Solving the tight-binding Hamiltonian for such lattices with different generations of a SPG network, we find multiple degenerate and non-degenerate completely flat bands, depending on the configuration of parameters of the Hamiltonian. Moreover, we find a generic formula to determine the number of such bands as a function of the g...
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Dec 11, 2017·Physical Review Letters9.16
#1Thomas Bilitewski (MPG: Max Planck Society)H-Index: 8
#2M. E. Zhitomirsky (UGA: University of Grenoble)H-Index: 7
Last. Roderich Moessner (MPG: Max Planck Society)H-Index: 73
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We study a class of disordered continuous classical spin systems including the kagome Heisenberg magnet. While each term in its local Hamiltonian can be independently minimised, we find {\it discrete} degenerate ground states whose number grows exponentially with system size. These states do not exhibit zero-energy `excitations' characteristic of highly frustrated magnets but instead are local minima of the energy landscape, albeit with an anomalously soft excitation spectrum. This represents a ...
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Nov 14, 2017·Physical Review E2.53
#1Nathan Perchikov (Technion – Israel Institute of Technology)H-Index: 4
#2Oleg Gendelman (Technion – Israel Institute of Technology)H-Index: 49
Local configurational symmetry in lattice structures may give rise to stationary, compact solutions, even in the absence of disorder and nonlinearity. These compact solutions are related to the existence of flat dispersion curves (bands). Nonlinearity can destabilize such compactons. One common flat-band-generating system is the 1D cross-stitch model, in which compactons were shown to exist for the photonic lattice with Kerr nonlinearity. The compactons exist there already in the linear regime a...
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Oct 9, 2017·Physical Review B4.04
#1Ajith RamachandranH-Index: 5
#2Alexei AndreanovH-Index: 15
Last. Sergej FlachH-Index: 61
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We study flat bands in bipartite tight-binding networks with discrete translational invariance. Chiral flat bands with chiral symmetry eigenenergy E = 0 and host compact localized eigenstates for finite range hopping. For a bipartite network with a majority sublattice chiral flat bands emerge. We present a simple generating principle of chiral flat band networks and as a showcase add to the previously observed cases a number of new potentially realizable chiral flat bands in various lattice dime...
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Oct 9, 2017·Physical Review B4.04
#1Mykola MaksymenkoH-Index: 9
#2Roderich Moessner (MPG: Max Planck Society)H-Index: 73
Last. Kirill Shtengel (MPG: Max Planck Society)H-Index: 20
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The weathervane modes of the classical Heisenberg antiferromagnet on the kagome lattice constitute possibly the earliest and certainly the most celebrated example of a flat band of zero-energy excitations. Such modes arise from the underconstraint that has since become a defining criterion of strong geometrical frustration. We investigate the fate of this flat band when dipolar interactions are added. These change the nearest-neighbour model fundamentally as they remove the Heisenberg spin-rotat...
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Cited By24
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The Heisenberg antiferromagnet on the kagome lattice is an archetypal instance of how large ground state degeneracies arise, and how they may get resolved by thermal and quantum fluctuations. Augmenting the Heisenberg model by chiral spin interactions has proved to be of particular interest in the discovery of certain chiral quantum spin liquids. Here we consider the classical variant of this chiral kagome model and find that it exhibits, similar to the classical Heisenberg antiferromagnet, a re...
Sep 29, 2021·Nature49.96
#1He Zhao (BC: Boston College)H-Index: 9
#2Hong Li (BC: Boston College)H-Index: 5
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The kagome lattice of transition metal atoms provides an exciting platform to study electronic correlations in the presence of geometric frustration and nontrivial band topology1–18, which continues to bear surprises. Here, using spectroscopic imaging scanning tunnelling microscopy, we discover a temperature-dependent cascade of different symmetry-broken electronic states in a new kagome superconductor, CsV3Sb5. We reveal, at a temperature far above the superconducting transition temperature Tc ...
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Aug 24, 2021·Physical Review B4.04
#1Yoonseok Hwang (SNU: Seoul National University)H-Index: 3
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Aug 17, 2021·arXiv: Mesoscale and Nanoscale Physics
#1Jing Wu (XTU: Xiangtan University)
#2Yuee Xie (XTU: Xiangtan University)H-Index: 25
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The physics of flat band is novel and rich but difficult to access. In this regard, recently twisting of bilayer van der Waals (vdW)-bounded two-dimensional (2D) materials has attracted much attention, because the reduction of Brillouin zone will eventually lead to a diminishing kinetic energy. Alternatively, one may start with a 2D Kagome lattice, which already possesses flat bands at the Fermi level, but unfortunately these bands connect quadratically to other (dispersive) bands, leading to un...
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Aug 5, 2021·Physical Review B4.04
#1Yoonseok Hwang (SNU: Seoul National University)H-Index: 3
#2Jun-Won Rhim (Ajou University)H-Index: 12
Last. Bohm-Jung Yang (SNU: Seoul National University)H-Index: 26
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Flat bands have band crossing points with other dispersive bands in many systems including the canonical flat band models in the Lieb and kagome lattices. Here we show that some of such band degeneracy points are unavoidable because of the symmetry representation (SR) of the flat band under unitary symmetry. We refer such a band degeneracy point of flat bands as a SR-enforced band crossing. SR-enforced band crossing is distinct from the conventional band degeneracy protected by symmetry eigenval...
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Jul 27, 2021·arXiv: Materials Science
#1Tomonari Mizoguchi (University of Tsukuba)H-Index: 14
#2Hosho KatsuraH-Index: 32
Last. Yasuhiro HatsugaiH-Index: 44
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Flat-band models have been of particular interest from both fundamental aspects and realization in materials. Beyond the canonical examples such as Lieb lattices and line graphs, a variety of tight-binding models are found to possess flat bands. However, analytical treatment of dispersion relations is limited, especially when there are multiple flat bands with different energies. In this paper, we present how to determine flat-band energies and wave functions in tight-binding models on decorated...
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Jun 24, 2021·arXiv: Mesoscale and Nanoscale Physics
#1Yoonseok HwangH-Index: 3
#2Jun-Won RhimH-Index: 12
Last. Bohm-Jung YangH-Index: 26
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In this work, we develop a systematic method of constructing flat-band models with and without band crossings. Our construction scheme utilizes the symmetry and spatial shape of a compact localized state (CLS), and also the singularity of the flat-band wave function obtained by a Fourier transform of the CLS (FT-CLS). In order to construct a flat-band model systematically using these ingredients, we first choose a CLS with a specific symmetry representation in a given lattice. Then, the singular...
Apr 20, 2021·Chinese Physics Letters1.48
#1Xu Chen (CAS: Chinese Academy of Sciences)H-Index: 11
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Here we present the superconducting property and structural stability of kagome CsV3Sb5 under in-situ high pressures. For the initial SC-I phase, its Tc is quickly enhanced from 3.5 K to 7.6 K and then totally suppressed at P~10 GPa. Further increasing the applied pressures, an SC-II phase emerges at P~15 GPa and persists up to 100 GPa. The Tc rapidly increases to the maximal value of 5.2 K at P=53.6 GPa and rather slowly decreases to 4.7 K at P=100 GPa. A two-dome-like variation of Tc in CsV3Sb...
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Mar 4, 2021·arXiv: Superconductivity
#1He ZhaoH-Index: 9
#2Hong LiH-Index: 5
Last. Ilija Zeljkovic (BC: Boston College)H-Index: 16
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The kagome lattice of transition metal atoms provides an exciting platform to study electronic correlations in the presence of geometric frustration and nontrivial band topology, which continues to bear surprises. In this work, using spectroscopic imaging scanning tunneling microscopy, we discover a cascade of different symmetry-broken electronic states as a function of temperature in a new kagome superconductor, CsV3Sb5. At a temperature far above the superconducting transition Tc ~ 2.5 K, we r...
Source
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