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Topological materials may exhibit Hall-like currents flowing transversely to the applied electric field even in the absence of a magnetic field. In graphene superlattices, which have broken inversion symmetry, topological currents…

Berry curvature hot spots in two-dimensional materials with broken inversion symmetry are responsible for the existence of transverse valley currents, which give rise to giant nonlocal dc voltages. Recent experiments in high-quality gapped…

Mesoscale and Nanoscale Physics · Physics 2016-10-05 Michael Beconcini , Fabio Taddei , Marco Polini

We report on the emergence of bulk, valley-polarized currents in graphene-based devices, driven by spatially varying regions of broken sublattice symmetry, and revealed by non-local resistance ($R_\mathrm{NL}$) fingerprints. By using a…

Mesoscale and Nanoscale Physics · Physics 2021-03-10 Thomas Aktor , Jose H. Garcia , Stephan Roche , Antti-Pekka Jauho , Stephen R. Power

We theoretically investigate gate-defined graphene superlattices with broken inversion symmetry as a platform for realizing tunable valley dependent transport. Our analysis is motivated by recent experiments [C. Forsythe et al., Nat.…

Mesoscale and Nanoscale Physics · Physics 2019-10-21 Johannes H. J. Martiny , Kristen Kaasbjerg , Antti-Pekka Jauho

In graphene superlattices, bulk topological currents can lead to long-range charge-neutral flow and non-local resistance near Dirac points. A ballistic version of these phenomena has never been explored. Here, we report transport properties…

Mesoscale and Nanoscale Physics · Physics 2018-05-31 K. Komatsu , Y. Morita , E. Watanabe , D. Tsuya , K. Watanabe , T. Taniguchi , S. Moriyama

We outline an approach to endow a plain vanilla material with topological properties by creating topological bands in stacks of manifestly nontopological atomically thin materials. The approach is illustrated with a model system comprised…

Mesoscale and Nanoscale Physics · Physics 2015-09-22 Justin C. W. Song , Polnop Samutpraphoot , Leonid S. Levitov

Graphene on hexagonal boron nitride (hBN) can exhibit a topological phase via mutual crystallographic alignment. Recent measurements of nonlocal resistance ($R_{nl}$) near the secondary Dirac point (SDP) in ballistic graphene/hBN…

Mesoscale and Nanoscale Physics · Physics 2020-12-21 Yang Li , Mario Amado , Timo Hyart , Grzegorz P. Mazur , Jason W. A. Robinson

2D materials based superlattices have emerged as a promising platform to modulate band structure and its symmetries. In particular, moir\'e periodicity in twisted graphene systems produces flat Chern bands. The recent observation of…

Van der Waals heterostructures display a rich variety of unique electronic properties. To identify novel transport mechanisms, nonlocal measurements have been widely used, wherein a voltage is measured at contacts placed far away from the…

Graphene-based superlattices offer a new materials playground to exploit and control a higher number of electronic degrees of freedom, such as charge, spin, or valley for disruptive technologies. Recently, orbital effects, emerging in…

Though the observation of the quantum anomalous Hall effect and nonlocal transport response reveals nontrivial band topology governed by the Berry curvature in twisted bilayer graphene, some recent works reported nonlinear Hall signals in…

Mesoscale and Nanoscale Physics · Physics 2023-08-16 Meizhen Huang , Zefei Wu , Xu Zhang , Xuemeng Feng , Zishu Zhou , Shi Wang , Yong Chen , Chun Cheng , Kai Sun , Zi Yang Meng , Ning Wang

Recent experiments have measured local uniaxial strain fields in twisted bilayer graphene (TBG). Our calculations found that the finite Berry curvature generated by breaking the sublattice symmetry and the band proximity between narrow…

Mesoscale and Nanoscale Physics · Physics 2021-05-12 Pierre A. Pantaleón , Tony Low , Francisco Guinea

Graphene subject to high levels of shear strain leads to strong pseudo-magnetic fields resulting in the emergence of Landau levels. Here we show that, with modest levels of strain, graphene can also sustain a classical valley hall effect…

Mesoscale and Nanoscale Physics · Physics 2017-03-01 Xian-Peng Zhang , Chunli Huang , Miguel A. Cazalilla

In the present paper we have directly computed the Berry curvature terms relevant for Graphene in the presence of an \textit{inhomogeneous} lattice distortion. We have employed the generalized Foldy Wouthuysen framework, developed by some…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Pierre Gosselin , Alain Bérard , Hervé Mohrbach , Subir Ghosh

Topologically non-trivial states characterized by Berry curvature appear in a number of materials ranging from spin-orbit-coupling driven topological insulators to graphene. In multivalley conductors, such as mono- and bilayer graphene,…

Mesoscale and Nanoscale Physics · Physics 2019-12-20 Sergey Slizovskiy , Edward McCann , Mikito Koshino , Vladimir I. Fal'ko

The physics of massless relativistic quantum particles has recently arisen in the electronic properties of solids following the discovery of graphene. Around the accidental crossing of two energy bands, the electronic excitations are…

Mesoscale and Nanoscale Physics · Physics 2015-10-21 Thibaud Louvet , Pierre Delplace , Andrei A. Fedorenko , David Carpentier

We study the magnetic and transport properties of epitaxial graphene films in this letter. We predict enhanced signal of magnetic susceptibility and relate it to the intrinsic valley magnetic moments. There is also an anomalous contribution…

Mesoscale and Nanoscale Physics · Physics 2011-03-31 Tianyi Cai , Wang Yao , Shengyuan A. Yang , Junren Shi , Qian Niu

Vortex magnetic structure in artificial honeycomb lattice provides a unique platform to explore emergent properties due to the additional Berry phase curvature imparted by chiral magnetization to circulating electrons via direct…

Mesoscale and Nanoscale Physics · Physics 2023-03-22 J. Guo , V. Dugaev , A. Ernst , G. Yumnam , P. Ghosh , D. K. Singh

We study the existence of edge modes in gapped Moir\'e superlattices in graphene monolayer ribbons. We find that the superlattice bands acquire finite Chern numbers, which lead to a Valley Hall Effect. The presence of dispersive edge modes…

Mesoscale and Nanoscale Physics · Physics 2018-01-17 Rory Brown , Niels R. Walet , Francisco Guinea

We point out a practical way to induce a finite charge Hall conductivity in graphene via an off-diagonal strain. Our conclusions are based on a general analysis and supported by numerical examples. The interplay between a substrate-induced…

Mesoscale and Nanoscale Physics · Physics 2011-11-30 Zhen-Gang Zhu , Jamal Berakdar
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