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Twisted van der Waals heterostructures with flat electronic bands have recently emerged as a platform for realizing correlated and topological states with an extraordinary degree of control and tunability. In graphene-based moir\'e…

The low-energy physics of graphene is described by relativistic Dirac fermions with spin and valley degrees of freedom. Mechanical strain can be used to create a pseudo magnetic field pointing to opposite directions in the two valleys. We…

Strongly Correlated Electrons · Physics 2017-08-29 Ying-Hai Wu , Tao Shi , G. J. Sreejith , Zheng-Xin Liu

We identify graphene as a system where chiral superconductivity can be realized. Chiral superconductivity involves a pairing gap that winds in phase around the Fermi surface, breaking time reversal symmetry. We consider a unique situation…

Mesoscale and Nanoscale Physics · Physics 2015-03-19 Rahul Nandkishore , Leonid Levitov , Andrey Chubukov

Many-body effects in condensed matter yield novel quantum states when the electronic density of states is enhanced. A vivid example is flat bands, which suppress kinetic energy and let interactions dominate, when they are filled with an…

The so called quantum spin Hall phase is a topologically non trivial insulating phase that is predicted to appear in graphene and graphene-like systems. In this work we address the question of whether this topological property persists in…

Mesoscale and Nanoscale Physics · Physics 2015-07-08 N. A. Garcia-Martinez , J. L. Lado , J. Fernandez-Rossier

Magnetic barriers in graphene are not easily tunable. However, introducing both electric and magnetic fields, provides tunable and far more controllable electronic states in graphene. Here we study such systems. A one-dimensional channel…

Mesoscale and Nanoscale Physics · Physics 2010-02-09 Yury P. Bliokh , Valentin Freilikher , Franco Nori

We theoretically study the correlated insulator states, quantum anomalous Hall (QAH) states, and field-induced topological transitions between different correlated states in twisted multilayer graphene systems. Taking twisted…

Mesoscale and Nanoscale Physics · Physics 2022-06-02 Shihao Zhang , Xi Dai , Jianpeng Liu

We study a many-body ground state of graphene in perpendicular magnetic fields. Chiral symmetry in graphene enables us to determine the many-body ground state, which turns out to be a doubly degenerate chiral condensate for the half-filled…

Mesoscale and Nanoscale Physics · Physics 2015-05-30 Y. Hamamoto , Y. Hatsugai , H. Aoki

Quantum spin Hall insulator/metal interfaces are formed in graphene ribbons with intrinsic spin-orbit coupling by selectively doping two regions creating a potential step. For a clean graphene ribbon, the transmission of the topological…

Mesoscale and Nanoscale Physics · Physics 2015-03-17 Elsa Prada , Georgo Metalidis

We present a paradoxical finding that, in the vicinity of a topological phase transition in a quantum anomalous Hall system (Chern insulator), topology nearly always (except when the system obeys charge-conjugation symmetry) results in a…

Mesoscale and Nanoscale Physics · Physics 2018-11-07 Denis R. Candido , Maxim Kharitonov , J. Carlos Egues , Ewelina M. Hankiewicz

Electronic states confined to zero angle grain boundaries in single layer graphene are analyzed using topological band theoretic arguments. We identify a hidden chiral symmetry which supports symmetry protected zero modes in projected bulk…

Mesoscale and Nanoscale Physics · Physics 2015-05-04 Madeleine Phillips , E. J. Mele

Role of chiral symmetry in many-body states of graphene in strong magnetic fields is theoretically studied with the honeycomb lattice model. For a spin-split Landau level where the leading electron-electron interaction is the…

Mesoscale and Nanoscale Physics · Physics 2015-06-05 Yuji Hamamoto , Hideo Aoki , Yasuhiro Hatsugai

Ab initio calculations indicate that while the electronic states introduced by grain boundaries in graphene are only partially confined to the defect core, a domain boundary introduces states near the Fermi level that are very strongly…

Mesoscale and Nanoscale Physics · Physics 2011-10-03 Simone S. Alexandre , A. D. Lucio , A. H. Castro Neto , R. W. Nunes

We investigate the topological phase transitions in graphene under the modulation of circularly polarized light, by analyzing the changes of edge states and its topological structures. A full phase diagram, with up to ten different…

Mesoscale and Nanoscale Physics · Physics 2016-04-20 Yi-Xiang Wang , Fuxiang Li

It has recently been shown that signatures of non-Hermitian topology can be realized in a conventional quantum Hall device connected to multiple current sources. These signatures manifest as robust current-voltage characteristics, dictated…

Mesoscale and Nanoscale Physics · Physics 2025-09-22 Raghav Chaturvedi , Viktor Könye , Ewelina M. Hankiewicz , Jeroen van den Brink , Ion Cosma Fulga

Experimental demonstrations of tunable correlation effects in magic-angle twisted bilayer graphene have put two-dimensional moir\'e quantum materials at the forefront of condensed-matter research. Other twisted few-layer graphitic…

Strongly Correlated Electrons · Physics 2021-08-27 Michael M. Scherer , Dante M. Kennes , Laura Classen

Despite the enormous interest in the properties of graphene and the potential of graphene nanostructures in electronic applications, the study of quantum confined states in atomically well-defined graphene nanostructures remains an…

We investigate the topological phase derived by time-reversal breaking fields in a nonsymmorphic symmetry-protected two-dimensional Dirac semimetal. When the nonsymmorphic symmetry is preserved even in the presence of the field, the…

Mesoscale and Nanoscale Physics · Physics 2017-08-22 Tetsuro Habe

Electronic properties of quantum dots (QDs) depend sensitively on their parent materials. Therefore, confined electronic states in graphene QDs (GQDs) of monolayer and Bernal-stacked bilayer graphene are quite different. Twisted bilayer…

Mesoscale and Nanoscale Physics · Physics 2022-01-05 Xiao-Feng Zhou , Yi-Wen Liu , Hong-Yi Yan , Zhong-Qiu Fu , Haiwen Liu , Lin He

Here we show that twisted graphene trilayer made by misoriented stacking a graphene monolayer on top of a Bernal graphene bilayer can exhibit rich and tailored electronic properties. For the case that the graphene monolayer and bilayer are…

Mesoscale and Nanoscale Physics · Physics 2014-08-13 Jia-Bin Qiao , Lin He