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.

Transitions between topologically distinct electronic states have been predicted in different classes of materials and observed in some. A major goal is the identification of measurable properties that directly expose the topological nature of such transitions. Here we focus on the giant-Rashba material bismuth tellurium iodine (BiTeI) which exhibits a pressure-driven phase transition between topological and trivial insulators in threedimensions. We demonstrate that this transition, which proceeds through an intermediate Weyl semi-metallic state, is accompanied by a giant enhancement of the Berry curvature dipole which can be probed in transport and optoelectronic experiments. From first-principles calculations, we show that the Berrry-dipole -a vector along the polar axis of this material-has opposite orientations in the trivial and topological insulating phases and peaks at the insulator-to-Weyl critical points, at which the nonlinear Hall conductivity can increase by over two orders of magnitude.

and Anna Isaeva (anna.isaeva@tu-dresden.de) ¥ These authors contributed equally to this work. 2 Combinations of non-trivial band topology and long-range magnetic order hold promise for realizations of novel spintronic phenomena, such as the quantum anomalous Hall effect and the topological magnetoelectric effect. Following theoretical advances material candidates are emerging. Yet, a compound with a band-inverted electronic structure and an intrinsic net magnetization remains unrealized. MnBi2Te4 is a candidate for the first antiferromagnetic topological insulator and the progenitor of a modular (Bi2Te3)n(MnBi2Te4) series. For n = 1, we confirm a non-stoichiometric composition proximate to MnBi4Te7 and establish an antiferromagnetic state below 13 K followed by a state with net magnetization and ferromagnetic-like hysteresis below 5 K. Angleresolved photoemission experiments and density-functional calculations reveal a topological surface state on the MnBi4Te7(0001) surface, analogous to the non-magnetic parent compound Bi2Te3. Our results render MnBi4Te7 as a band-inverted material with an intrinsic net magnetization and a complex magnetic phase diagram providing a versatile platform for the realization of different topological phases.Soon after the discovery of topological insulators (TIs) a decade ago 1 , the role of magnetism and its potential to modify the electronic topology emerged as a central issue in the field of topological materials. Magnetic degrees of freedom provide a powerful means of tuning the decisive characteristic of any topological system: its symmetry. By now it is recognized that the interplay between magnetic order and electronic topology offers a rich playground for the realization of exotic topological states of matter, such as the quantum anomalous Hall state, 2,3 the axion insulator state, 4-6 and magnetic Weyl and nodal lines semimetals, 7-9 enabling in turn different routes to spintronic applications. [10][11][12] The non-trivial topology in paradigmatic TIs like Bi2Te3 is a result of band inversion driven by strong spin-orbit interaction. 13,14 Until recently, the interplay with magnetism in this class of systems has been mostly explored by extrinsic methods, such us doping a known TI

As they do not rely on the presence of any crystal symmetry, Weyl nodes are robust topological features of an electronic structure that can occur at any momentum and energy. Acting as sinks and sources of Berry curvature, Weyl nodes have been predicted to strongly affect the transverse electronic response, like in the anomalous Hall or Nernst effects. However, to observe large anomalous effects the Weyl nodes need to be close to or at the Fermi-level, which implies the band structure must be tuned by an external parameter, e.g. chemical doping or pressure. Here we show that in a ferromagnetic metal tuning of the Weyl node energy and momentum can be achieved by rotation of the magnetization. Taking Co 3 Sn 2 S 2 as an example, we use electronic structure calculations based on density-functional theory to show that not only new Weyl fermions can be created by canting the magnetization away from the easy axis, but also that the Weyl nodes can be driven exactly to the Fermi surface. We also show that the dynamics in energy and momentum of the Weyl nodes strongly affect the calculated anomalous Hall and Nernst conductivities.Materials hosting unconventional quasiparticles, such as Weyl semimetals, constitute a framework with potential for novel electronic devices. One of the grounds for such expectation is the possibility of enhancing the response to external fields by taking advantage of the topological properties of the electronic states. For a material to specifically host Weyl fermions the spin degeneracy of the electronic bands has to be removed by breaking either inversion or time-reversal symmetry (Θ). Karplus and Luttinger [1] first noticed that in a Θ-broken system the spin-orbit coupling can introduce in the manifold of Bloch states a left-right asymmetry which in turn, in the presence of an electric field, causes a Hall current at zero magnetic field. This scattering-independent mechanism originates in the so-called anomalous velocity of the wave-packets, which can be written in terms of the Berry curvature of the Bloch states in momentum space. Weyl nodes are monopoles of Berry curvature which implies first, that they can only be created and annihilated in pairs of opposite monopole charge and second, that wave-packets made out of Weyl fermions can have a large anomalous velocity. As this velocity is perpendicular to the electric field, Weyl systems can exhibit enhanced transverse electronic responses, as in the Hall or Nernst effects.This effect has been argued to be at work in different materials in which the anomalous velocity contribution intrinsic to the band-structure is at the heart of enhanced electric and thermoelectric performance both in the regime of linear [2][3][4][5][6][7] as well as in nonlinear response [8,9]. Still, a central problem for optimizing Berry-curvature-based effects is the energy of the Weyl fermions which currently is not a controlled variable from a material design point of view. Indeed, as the only symmetry restriction is to break inversion or Θ, Weyl nodes can occur at any...

Topological phases of electronic systems often coexist in a material, well-known examples being systems which are both strong and weak topological insulators. More recently, a number of materials have been found to have the topological structure of both a weak topological phase and a mirrorprotected topological crystalline phase. In this work, we first focus on the naturally occurring mineral called Jacutingaite, Pt2HgSe3, and show based on density-functional calculations that it realizes this dual topological phase and that the same conclusion holds for Pd2HgSe3. Second, we introduce tight-binding models that capture the essential topological properties of this dual topological phase in materials with three-fold rotation symmetry and use these models to describe the main features of the surface spectral density of different materials in the class. arXiv:1903.05001v2 [cond-mat.mes-hall]

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Strongly correlated electron systems; heavy fermions PACS 75.40.Mg -Numerical simulation studies PACS 71.15.-m -Methods of electronic structure calculationsAbstract -The dynamical mean field theory (DMFT) has become a standard technique for the study of strongly correlated models and materials overcoming some of the limitations of density functional approaches based on local approximations. An important step in this method involves the calculation of response functions of a multiorbital impurity problem which is related to the original model. Recently there has been considerable progress in the development of techniques based on the density matrix renormalization group (DMRG) and related matrix product states (MPS) implying a substantial improvement to previous methods. In this article we review some of the standard algorithms and compare them to the newly developed techniques, showing examples for the particular case of the half-filled two-band Hubbard model.