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Topological matter is a trending topic in condensed matter: From a fundamental point of view it has introduced new phenomena and tools, and for technological applications, it holds the promise of basic stable quantum computing. Similarly,…

Disordered Systems and Neural Networks · Physics 2016-08-29 Eduardo V. Castro , Raphael de Gail , M. Pilar López-Sancho , María A. H. Vozmediano

Adsorbate engineering offers a seemingly simple approach to tailor spin-orbit interactions in atomically thin materials and thus to unlock the much sought-after topological insulating phases in two dimensions. However, the observation of an…

Twisted bilayer graphene has recently attracted a lot of attention for its rich electronic properties and tunability. Here we show that for very small twist angles, $\alpha \ll 1^\circ$, the application of a perpendicular electric field is…

Mesoscale and Nanoscale Physics · Physics 2018-10-04 A. Ramires , J. L. Lado

Recent experiments reporting unexpectedly large spin Hall effect (SHE) in graphene decorated with adatoms have raised a fierce controversy. We apply numerically exact Kubo and Landauer- Buttiker formulas to realistic models of…

Mesoscale and Nanoscale Physics · Physics 2017-03-16 Dinh Van Tuan , J. M. Marmolejo-Tejada , Xavier Waintal , Branislav K. Nikolic , Stephan Roche

Magnetoresistance and Hall coefficient of a graphene layer are investigated in the presence of a tilted magnetic field. We consider the graphene layer is assembled by either another graphene layer or a two-dimensional electron gas (2DEG)…

Materials Science · Physics 2015-06-19 Fariborz Parhizgar , Reza Asgari

Nontrivial interacting phases can emerge in elementary materials. As a prime example, continuing advances in device quality have facilitated the observation of a variety of spontaneous quantum Hall-like states, a cascade of Stoner-like…

Mesoscale and Nanoscale Physics · Physics 2024-08-30 Felix Winterer , Fabian R. Geisenhof , Noelia Fernandez , Anna M. Seiler , Fan Zhang , R. Thomas Weitz

We consider a disordered topological insulator thin film placed on the top of a ferromagnetic insulator with a perpendicular exchange field $M$ and subjected to a perpendicular electric field. The presence of ferromagnetic insulator causes…

Mesoscale and Nanoscale Physics · Physics 2022-11-15 Siamak Pooyan , Mir Vahid Hosseini

We study collective behavior of magnetic adatoms randomly distributed on the surface of a topological insulator. As a consequence of the spin-momentum locking on the surface, the RKKY-type interactions of two adatom spins depend on the…

Mesoscale and Nanoscale Physics · Physics 2011-03-31 D. A. Abanin , D. A. Pesin

The topological nature of topological insulators are related to the symmetries present in the material, for example, quantum spin Hall effect can be observed in topological insulators with time reversal symmetry, while broken time reversal…

Spatially inhomogeneous strains in graphene can simulate the effects of valley-dependent magnetic fields. As demonstrated in recent experiments, the realizable magnetic fields are large enough to give rise to well-defined flat pseudo-Landau…

Mesoscale and Nanoscale Physics · Physics 2013-04-25 Pouyan Ghaemi , Sarang Gopalakrishnan , Shinsei Ryu

Electronic correlations stemming from nearly flat bands in van der Waals materials have demonstrated to be a powerful playground to engineer artificial quantum matter, including superconductors, correlated insulators and topological matter.…

Mesoscale and Nanoscale Physics · Physics 2020-11-04 Antonio L. R. Manesco , Jose L. Lado , Eduardo V. S. Ribeiro , Gabrielle Weber , Durval Rodrigues

The discovery of the integer quantum Hall effect in the early eighties of the last century, with highly precise quantization values for the Hall conductance in multiples of $e^2/h$, has been the first fascinating manifestation of the…

Mesoscale and Nanoscale Physics · Physics 2017-01-10 Alessandro Cresti , Branislav K. Nikolić , Jose Hugo García , Stephan Roche

Recent experiments on rhombohedral pentalayer graphene flakes with a substrate induced moir\'e potential have identified both Chern insulators and fractional Quantum Hall states in the absence of an applied magnetic field. Surprisingly,…

Strongly Correlated Electrons · Physics 2024-11-15 Junkai Dong , Taige Wang , Tianle Wang , Tomohiro Soejima , Michael P. Zaletel , Ashvin Vishwanath , Daniel E. Parker

We report an intriguing transition from the quantum spin Hall phase to the spin Hall effect upon segregation of thallium adatoms adsorbed onto a graphene surface. Landauer-B\"uttiker and Kubo-Greenwood simulations are used to access both…

Mesoscale and Nanoscale Physics · Physics 2014-12-30 Alessandro Cresti , Dinh Van Tuan , David Soriano , Aron W. Cummings , Stephan Roche

Interacting electrons in flat bands give rise to a variety of quantum phases. One fundamental aspect of such states is the ordering of the various flavours - such as spin or valley - that the electrons can undergo and the excitation…

Mesoscale and Nanoscale Physics · Physics 2023-05-17 Gelareh Farahi , Cheng-Li Chiu , Xiaomeng Liu , Zlatko Papic , Kenji Watanabe , Takashi Taniguchi , Michael P. Zaletel , Ali Yazdani

When phonons couple to fermions in 2D semimetals, the interaction may turn the system into an insulator. There are several insulating phases in which the time reversal and the sublattice symmetries are spontaneously broken. Examples are…

Strongly Correlated Electrons · Physics 2021-05-12 Andreas Sinner , Klaus Ziegler

We propose general topological order parameters for interacting insulators in terms of the Green's function at zero frequency. They provide an unified description of various interacting topological insulators including the quantum anomalous…

Strongly Correlated Electrons · Physics 2012-08-15 Zhong Wang , Shou-Cheng Zhang

In inhomogeneously strained graphene, low-energy electrons experience a valley-antisymmetric pseudo-magnetic field which leads to the formation of localized states at the edge between the valence and conduction bands, understood in terms of…

Mesoscale and Nanoscale Physics · Physics 2013-10-22 Diana A. Gradinar , Marcin Mucha-Kruczyński , Henning Schomerus , Vladimir I. Fal'ko

We show that the electric charge of the Skyrmion in the vector order parameters that characterize the quantum anomalous spin Hall state and the layer-antiferromagnet in a graphene bilayer is four and zero, respectively. The result is based…

Strongly Correlated Electrons · Physics 2012-06-28 Chi-Ken Lu , Igor F. Herbut

Unlike regular electron spin, the pseudospin degeneracy of Fermi points in graphene does not couple directly to magnetic field. Therefore, graphene provides a natural vehicle to observe the integral and fractional quantum Hall physics in an…

Strongly Correlated Electrons · Physics 2009-11-11 Csaba Toke , Paul E. Lammert , Jainendra K. Jain , Vincent H. Crespi