Flatbands and Emergent Ferromagnetic Ordering in 
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 Kagome Lattices

Zhao, Lin; Choi, Jin Ho; Zhang, Qiang; Qin, Wei; Yi, Seho; Wang, Pengdong; Li, Lin; Wang, Yifan; Zhang, Hui; Sun, Zhe; Wei, Lixia; Zhang, Shou-Cheng; Guo, Tengfei; Lu, Qingyou; Cho, Jun-Hyung; Zeng, Changgan; Zhang, Zhenyu

doi:10.1103/physrevlett.121.096401

Cited by 266 publications

(163 citation statements)

References 46 publications

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“…These promising theoretical proposals have driven and guided recent experimental efforts toward the realization and study of topological kagome metals based on binary and ternary intermetallic compounds [11][12][13][14][15][16][17][18][19][20][21][22] . At variance with other widely studied s or p orbital-based topological systems that are close to the non-interacting limit, the kagome lattice in these intermetallic materials is populated by the low-energy 3d electrons of transition metals (Fig.…”

mentioning

confidence: 99%

Dirac fermions and flat bands in the ideal kagome metal FeSn

et al. 2019

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The kagome lattice based on 3d transition metals is a versatile platform for novel topological phases hosting symmetry-protected electronic excitations and exotic magnetic ground states. However, the paradigmatic states of the idealized two-dimensional (2D) kagome lattice -Dirac fermions and topological flat bands -have not been simultaneously observed, partly owing to the complex stacking structure of the kagome compounds studied to date. Here, we take the approach of examining FeSn, an antiferromagnetic single-layer kagome metal with spatially-decoupled kagome planes. Using polarization-and termination-dependent angleresolved photoemission spectroscopy (ARPES), we detect the momentum-space signatures of coexisting flat bands and Dirac fermions in the vicinity of the Fermi energy. Intriguingly, when complemented with bulk-sensitive de Haas-van Alphen (dHvA) measurements, our data reveal an even richer electronic structure that exhibits robust surface Dirac fermions on specific crystalline terminations. Through band structure calculations and matrix element simulations, we demonstrate that the bulk Dirac bands arise from in-plane localized Fe-3d orbitals under kagome symmetry, while the surface state realizes a rare example of fully spin-polarized 2D Dirac fermions when combined with spin-layer locking in FeSn. These results highlight FeSn as a prototypical host for the emergent excitations of the kagome lattice. The prospect to harness these excitations for novel topological phases and spintronic devices is a frontier of great promise at the confluence of topology, magnetism, and strongly-correlated electron physics.

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confidence: 99%

Dirac fermions and flat bands in the ideal kagome metal FeSn

et al. 2019

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“…However, we also found that the relative difference as defined in Eq. (76) is hardly affected at all when | ∆ ⊥ | gets larger. This statement holds true for all the other quasi-GPDs.…”

Section: Results For Quasi-gpdsmentioning

confidence: 93%

“…The standard GPDs in these figures, which enter the relative difference R in Eq. (76), are all evaluated for ξ = 0.4, while the quasi GPDs are calculated using the three different skewness variables ξ,ξ 0 andξ 3 and choosing for them in each case again the value 0.4. One observes considerable differences between the three cases, especially once P 3 is relatively low.…”

Section: Exploring Different Skewness Variablesmentioning

confidence: 99%

Studying twist-2 GPDs through quasi-distributions in a scalar diquark model

Bhattacharya¹,

Cocuzza²,

Metz³

2019

Proceedings of XXVII International Workshop on Deep-Inelastic Scattering and Related Subjects — PoS(DIS2019)

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Quasi parton distributions (quasi-PDFs) are currently under intense investigation. Quasi-PDFs are defined through spatial correlation functions and are thus accessible in lattice QCD. They gradually approach their corresponding standard (light-cone) PDFs as the hadron momentum increases. Recently, we investigated the concept of quasi-distributions in the case of generalized parton distributions (GPDs) by calculating the twist-2 vector GPDs in the scalar diquark spectator model. In the present work, we extend this study to the remaining six leading-twist GPDs. For large hadron momenta, all quasi-GPDs analytically reduce to the corresponding standard GPDs. We also study the numerical mismatch between quasi-GPDs and standard GPDs for finite hadron momenta. Furthermore, we present results for quasi-PDFs, and explore higher-twist effects associated with the parton momentum and the longitudinal momentum transfer to the target. We study the dependence of our results on the model parameters as well. Finally, we discuss the lowest moments of quasi distributions, and elaborate on the relation between quasi-GPDs and the total angular momentum of quarks. The moment analysis suggests a preferred definition of several quasi-distributions. I. INTRODUCTIONParton distribution functions (PDFs) are important objects encoding information about the quark and gluon structure of hadrons [1]. They can be extracted from data for a large class of hard scattering processes, where the key underlying tool is factorization theorems in quantum chromodynamics (QCD) that separate the perturbatively calculable short distance part of a cross section from the long-distance part described by PDFs and other potential non-perturbative quantities [2]. On the other hand, first-principles calculations of PDFs using lattice QCD have remained challenging due to their explicit time-dependence. As a result, in the past almost all related studies in lattice QCD focused on moments of PDFs which are defined through time-independent local operators, while the full dependence of PDFs on the parton momentum fraction x remained elusive.The recently proposed quasi parton distributions (quasi-PDFs) offer a way to directly access the x-dependence of the PDFs in lattice QCD [3,4]. Quasi-PDFs are defined through spatial equal-time operators that can be computed on four-dimensional Euclidean lattices. They reduce to their corresponding standard (light-cone) PDFs if the hadron momentum P 3 = | P | → ∞, prior to renormalization. However, for lattice calculations one first renormalizes, and P 3 is finite. This leads to two sources of discrepancies between quasi-PDFs and standard PDFs: higher-twist corrections that are suppressed by powers of 1 P 3 , and a different ultraviolet (UV) behavior for these two types of PDFs. The UV disparities can be cured order by order in perturbative QCD through a so-called matching procedure -see for instance . Other approaches for computing the x-dependence of PDFs and related quantities have also been suggested [8][9][10][11][12][13][14][15...

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“…3. LQCD determination of u(x)−d(x) (left [35]) and ∆u(x)−∆d(x) (right [37]) by the LP3 collaboration.…”

Section: Hadron Structure From Non-local Matrix Elementsmentioning

confidence: 99%

“…Significant achievements in the LQCD calculations of quasi-PDFs have been made in recent years [33][34][35][36][37]. At a finite hadron momentum P z , as shown in the right plot in Fig.…”

Section: Hadron Structure From Non-local Matrix Elementsmentioning

confidence: 99%

Nucleon Structure from Lattice QCD Calculations

Qiu

2019

Proceedings of the 8th International Conference on Quarks and Nuclear Physics (QNP2018)

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Parton distribution and correlation functions describe the relation between a hadron and the quarks and gluons (or collectively, the partons) within it, and carry rich information on hadron's partonic structure that cannot be calculated by QCD perturbation theory. In this talk, I will review what lattice QCD can and cannot do for calculating the parton distribution and correlation functions, and the new ideas and efforts around the world to explore nucleon structure from lattice QCD calculations by combining the strength of both lattice QCD and perturbative QCD in such a way that is complementary to our on-going effort to extract these fundamental functions from experimental data.

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Flatbands and Emergent Ferromagnetic Ordering in Fe3Sn2 Kagome Lattices

Cited by 266 publications

References 46 publications

Dirac fermions and flat bands in the ideal kagome metal FeSn

Dirac fermions and flat bands in the ideal kagome metal FeSn

Studying twist-2 GPDs through quasi-distributions in a scalar diquark model

Nucleon Structure from Lattice QCD Calculations

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